Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 16.1s)

analyze255.0ms (1.6%)

Memory
2.1MiB live, 563.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.8s (11.3%)

Memory
46.8MiB live, 2 514.9MiB allocated
Samples
1.4s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 427.0ms (40.2% of total)
ival-<=: 135.0ms (12.7% of total)
ival-mult: 133.0ms (12.5% of total)
ival-sin: 109.0ms (10.3% of total)
ival-div: 69.0ms (6.5% of total)
ival-sub: 62.0ms (5.8% of total)
ival-sqrt: 60.0ms (5.6% of total)
ival-and: 32.0ms (3% of total)
ival->: 28.0ms (2.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess48.0ms (0.3%)

Memory
-1.9MiB live, 35.9MiB allocated
Algorithm
egg-herbie
Rules
182×associate-*l*
162×associate-*r*
150×sub-neg
148×distribute-lft-neg-in
134×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036117
178112
2132112
3243110
4470110
5854110
61104110
71238110
81310110
91356110
101372110
111376110
01011
11611
22011
32511
43211
54211
65711
78011
810211
911011
1011211
011211
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Call 2
Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))
Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- -1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* u1 314159265359/50000000000)))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain183.0ms (1.1%)

Memory
-7.8MiB live, 226.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9999397993087769 6.253771389630458e-10 0.49635058641433716)(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+02
-0254
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+011
-00254
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 9.0ms (27.8% of total)
ival-sin: 7.0ms (21.6% of total)
ival-mult: 6.0ms (18.5% of total)
ival-div: 4.0ms (12.4% of total)
ival-sub: 3.0ms (9.3% of total)
ival-sqrt: 3.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
36×+-lowering-+.f64
36×+-lowering-+.f32
26×--lowering--.f32
26×sub-neg
26×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
11636
22036
32536
43236
54236
65736
78036
810236
911036
1011236
011236
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize76.0ms (0.5%)

Memory
5.9MiB live, 54.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
23.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 3.0ms (19.7% of total)
ival-sin: 3.0ms (19.7% of total)
const: 3.0ms (19.7% of total)
ival-div: 2.0ms (13.1% of total)
ival-sqrt: 2.0ms (13.1% of total)
ival-sub: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-24.0MiB live, 13.4MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sin (* 314159265359/50000000000 u2))>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
u1
@-inf
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u1
@0
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

rewrite368.0ms (2.3%)

Memory
57.8MiB live, 588.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 704×/-lowering-/.f32
3 704×/-lowering-/.f64
3 286×*-lowering-*.f32
3 286×*-lowering-*.f64
2 456×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
14032
223132
3194732
0966532
Stop Event
iter limit
node limit
Counts
6 → 521
Calls
Call 1
Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
Outputs
(pow.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
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(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
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(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

simplify540.0ms (3.3%)

Memory
-40.8MiB live, 819.7MiB allocated
Algorithm
egg-herbie
Rules
17 094×accelerator-lowering-fma.f32
17 094×accelerator-lowering-fma.f64
5 704×*-lowering-*.f32
5 704×*-lowering-*.f64
3 272×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021002
1602910
21736837
35177784
47592783
08372754
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 u1) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32)) u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal -5/16 binary32) u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) (*.f32 u1 u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32)) u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (sqrt.f32 u1))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval59.0ms (0.4%)

Memory
20.4MiB live, 135.5MiB allocated
Compiler

Compiled 16 350 to 2 495 computations (84.7% saved)

prune111.0ms (0.7%)

Memory
-4.0MiB live, 235.6MiB allocated
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New56639605
Fresh000
Picked011
Done000
Total56640606
Accuracy
99.7%
Counts
606 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
74.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
89.6%
(*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.5%
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
72.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.5%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
89.9%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.9%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
91.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.4%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
90.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.2%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.5%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
90.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 1 772 to 1 175 computations (33.7% saved)

simplify581.0ms (3.6%)

Memory
-2.5MiB live, 1 031.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff160
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
cost-diff352
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff608
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
cost-diff896
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
cost-diff0
(+.f32 u1 #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
cost-diff0
(/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
cost-diff0
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
cost-diff0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
Rules
28 414×accelerator-lowering-fma.f32
28 414×accelerator-lowering-fma.f64
3 558×*-lowering-*.f32
3 558×*-lowering-*.f64
1 692×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039295
188287
2225265
3721260
42910253
56662253
08281249
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(+ (* u1 u1) u1)
u1
(+ (* u1 u1) 1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ 1 (/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1))))
1
(/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1)))
(sqrt (+ u1 1))
(+ u1 1)
u1
(* (sin (* 314159265359/50000000000 u2)) (sqrt u1))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt u1)
(* (sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1)))))
(/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))
(- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1)))))
(* 0 (/ 1 (+ u1 1)))
0
(/ 1 (+ u1 1))
1
(+ u1 1)
u1
(* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))
(+ u1 -1)
-1
(/ u1 (+ -1 (* u1 u1)))
(+ -1 (* u1 u1))
(* u1 u1)
(* (+ u1 -1) (/ 1 (+ u1 1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (+ (/ 1 u1) -1))
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(+ (/ 1 u1) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
-1
#s(literal -1 binary32)
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(+ (* u1 u1) u1)
(fma.f32 u1 u1 u1)
u1
(+ (* u1 u1) 1)
(fma.f32 u1 u1 #s(literal 1 binary32))
1
#s(literal 1 binary32)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(/ 1 (/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt (+ u1 1))
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
u1
(* (sin (* 314159265359/50000000000 u2)) (sqrt u1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt u1)
(sqrt.f32 u1)
(* (sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1)))))
(/.f32 u1 (-.f32 #s(literal -1 binary32) u1))
(* 0 (/ 1 (+ u1 1)))
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(/ 1 (+ u1 1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
u1
(* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ u1 -1)
(+.f32 u1 #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(/ u1 (+ -1 (* u1 u1)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
(+ -1 (* u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(* u1 u1)
(fma.f32 u1 u1 #s(literal 0 binary32))
(* (+ u1 -1) (/ 1 (+ u1 1)))
(/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize159.0ms (1%)

Memory
-45.4MiB live, 343.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
accuracy98.9%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy98.7%
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.8%
(/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
accuracy98.7%
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
accuracy99.5%
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.7%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy99.6%
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
Samples
75.0ms256×0valid
Compiler

Compiled 355 to 42 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 13.0ms (24.4% of total)
ival-mult: 13.0ms (24.4% of total)
ival-sqrt: 11.0ms (20.6% of total)
ival-add: 6.0ms (11.3% of total)
ival-sin: 4.0ms (7.5% of total)
const: 4.0ms (7.5% of total)
ival-sub: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory
13.4MiB live, 90.3MiB allocated
Counts
22 → 348
Calls
Call 1
Inputs
#<alt (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (+ (/ 1 u1) -1))>
#<alt (* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))>
#<alt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))>
#<alt (+ (* u1 u1) u1)>
#<alt (/ 1 (/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1))))>
#<alt (/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1)))>
#<alt (sqrt (+ u1 1))>
#<alt (+ u1 1)>
#<alt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))>
#<alt (* 0 (/ 1 (+ u1 1)))>
#<alt (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))>
#<alt (* (+ u1 -1) (/ 1 (+ u1 1)))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt u1))>
#<alt (/ 1 (+ u1 1))>
#<alt (* (sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))) (sin (* 314159265359/50000000000 u2)))>
Outputs
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
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#<alt (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))>
#<alt -1>
#<alt (- (* 2 u1) 1)>
#<alt (- (* u1 (+ 2 (* -2 u1))) 1)>
#<alt (- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- u1 1)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))>
#<alt (/ 1 u1)>
#<alt (/ (- 1 (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)>
#<alt (/ 1 u1)>
#<alt (* -1 (/ (- (/ 1 u1) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
Calls

87 calls:

TimeVariablePointExpression
29.0ms
u2
@inf
(* (sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))) (sin (* 314159265359/50000000000 u2)))
4.0ms
u2
@0
(/ 1 (/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1))))
1.0ms
u1
@-inf
(/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1)))
1.0ms
u1
@0
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
1.0ms
u2
@0
(* (sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))) (sin (* 314159265359/50000000000 u2)))

rewrite413.0ms (2.6%)

Memory
39.4MiB live, 865.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 386×/-lowering-/.f32
5 386×/-lowering-/.f64
2 932×*-lowering-*.f32
2 932×*-lowering-*.f64
2 566×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039202
1237184
21956182
08690175
Stop Event
iter limit
node limit
Counts
22 → 883
Calls
Call 1
Inputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(sqrt (+ (/ 1 u1) -1))
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(+ (* u1 u1) u1)
(/ 1 (/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1))))
(/ (sqrt (+ u1 1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt u1)))
(sqrt (+ u1 1))
(+ u1 1)
(/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))
(* 0 (/ 1 (+ u1 1)))
(* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))
(* (+ u1 -1) (/ 1 (+ u1 1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt u1))
(/ 1 (+ u1 1))
(* (sqrt (/ (- (* 0 (/ 1 (+ u1 1))) (* (+ u1 -1) (/ u1 (+ -1 (* u1 u1))))) (* (+ u1 -1) (/ 1 (+ u1 1))))) (sin (* 314159265359/50000000000 u2)))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
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(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

simplify522.0ms (3.2%)

Memory
-21.0MiB live, 1 017.9MiB allocated
Algorithm
egg-herbie
Rules
11 302×accelerator-lowering-fma.f32
11 302×accelerator-lowering-fma.f64
6 986×*-lowering-*.f32
6 986×*-lowering-*.f64
3 654×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07495285
123314733
270534706
081464444
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))))
(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1))))
(* 314159265359/50000000000 (* u2 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(/ 1 (sin (* 314159265359/50000000000 u2)))
(+ (/ 1 (sin (* 314159265359/50000000000 u2))) (* 1/2 (/ 1 (* u1 (sin (* 314159265359/50000000000 u2))))))
(- (+ (/ 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))) (/ 1 (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))))
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(/ 1 (sin (* 314159265359/50000000000 u2)))
(- (/ 1 (sin (* 314159265359/50000000000 u2))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 6)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (+ 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (+ 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))))))) u2)
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* -1/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8)))))
(sqrt u1)
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
1
(+ 1 u1)
(+ 1 u1)
(+ 1 u1)
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
0
0
0
0
0
0
0
0
0
0
0
0
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
1
(- 1 (/ 1 u1))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
-1
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -2 u1))) 1)
(- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(fma.f32 u1 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (- 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1)) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1)) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))

eval168.0ms (1%)

Memory
6.4MiB live, 429.5MiB allocated
Compiler

Compiled 50 210 to 5 397 computations (89.3% saved)

prune283.0ms (1.8%)

Memory
4.4MiB live, 533.4MiB allocated
Pruning

70 alts after pruning (67 fresh and 3 done)

PrunedKeptTotal
New1 440501 490
Fresh171734
Picked325
Done011
Total1 460701 530
Accuracy
99.8%
Counts
1 530 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
80.7%
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.8%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
90.6%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
87.8%
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
80.9%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
74.2%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
97.7%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
88.8%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1))
97.8%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
96.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
68.5%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) u2))
73.9%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
63.5%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
80.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
70.6%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
69.2%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
67.4%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
69.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
76.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
89.6%
(*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
92.7%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
80.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
80.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
76.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
73.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
80.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
63.6%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
77.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
77.5%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
65.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
91.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.4%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
80.9%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
76.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) u1) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
90.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
86.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
83.6%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.5%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.6%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
86.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
92.7%
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
88.0%
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
92.8%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
90.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
87.8%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
83.6%
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
65.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
19.9%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.4%
(exp.f32 (*.f32 (neg.f32 (log.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal -1 binary32)))
Compiler

Compiled 2 977 to 1 967 computations (33.9% saved)

simplify873.0ms (5.4%)

Memory
-106.8MiB live, 1 015.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 u1 u1 #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
cost-diff928
(fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
cost-diff0
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
cost-diff0
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2)
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 u2 (sqrt.f32 u1))
cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
cost-diff0
(/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff704
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
Rules
23 902×accelerator-lowering-fma.f32
23 902×accelerator-lowering-fma.f64
5 318×+-lowering-+.f64
5 318×+-lowering-+.f32
3 384×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046352
1113336
2316322
3887322
42629322
53791322
64676322
75383322
85599322
95805322
106046322
08128304
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1))))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1)))))
(/ u1 (/ -1 (/ 1 (+ u1 -1))))
u1
(/ -1 (/ 1 (+ u1 -1)))
-1
(/ 1 (+ u1 -1))
1
(+ u1 -1)
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* 314159265359/50000000000 (* u2 (sqrt u1)))
314159265359/50000000000
(* u2 (sqrt u1))
u2
(sqrt u1)
u1
(/ 1 (/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2))
1
(/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2)
(* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1)))
50000000000/314159265359
(sqrt (/ (+ 1 u1) u1))
(/ (+ 1 u1) u1)
(+ 1 u1)
u1
u2
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))))
u2
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))
314159265359/50000000000
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(* u2 u2)
(* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))
(+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)
(+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)
(* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
-302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
-31006276680305942139213528068663279/750000000000000000000000000000000
(* (* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1))
(sqrt (* (+ (* u1 u1) 1) (+ 1 u1)))
(* (+ (* u1 u1) 1) (+ 1 u1))
(+ (* u1 u1) 1)
u1
1
(+ 1 u1)
(sqrt u1)
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1))))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (/ -1 (/ 1 (+ u1 -1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/ -1 (/ 1 (+ u1 -1)))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(/ 1 (+ u1 -1))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ u1 -1)
(+.f32 u1 #s(literal -1 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* 314159265359/50000000000 (* u2 (sqrt u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(* u2 (sqrt u1))
(*.f32 u2 (sqrt.f32 u1))
u2
(sqrt u1)
(sqrt.f32 u1)
u1
(/ 1 (/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
1
#s(literal 1 binary32)
(/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2)
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 50000000000/314159265359 binary32) u2))
(* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1)))
(*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
50000000000/314159265359
#s(literal 50000000000/314159265359 binary32)
(sqrt (/ (+ 1 u1) u1))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(/ (+ 1 u1) u1)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
u1
u2
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
u2
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(* u2 u2)
(*.f32 u2 u2)
(* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)
(fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
-302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(* (* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(sqrt (* (+ (* u1 u1) 1) (+ 1 u1)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(* (+ (* u1 u1) 1) (+ 1 u1))
(fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(+ (* u1 u1) 1)
(fma.f32 u1 u1 #s(literal 1 binary32))
u1
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
(sqrt u1)
(sqrt.f32 u1)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize204.0ms (1.3%)

Memory
12.5MiB live, 429.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.0%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
accuracy98.9%
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
accuracy98.6%
(fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
accuracy98.4%
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
accuracy99.2%
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2)
accuracy99.1%
(/.f32 (+.f32 #s(literal 1 binary32) u1) u1)
accuracy99.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
accuracy98.7%
(*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.2%
(*.f32 u2 (sqrt.f32 u1))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
accuracy99.5%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy98.9%
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
Samples
105.0ms247×0valid
12.0ms5exit
Compiler

Compiled 338 to 49 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 28.0ms (31.1% of total)
const: 23.0ms (25.5% of total)
ival-div: 13.0ms (14.4% of total)
ival-sqrt: 9.0ms (10% of total)
ival-add: 8.0ms (8.9% of total)
ival-sin: 5.0ms (5.5% of total)
adjust: 1.0ms (1.1% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory
-7.4MiB live, 123.9MiB allocated
Counts
25 → 420
Calls
Call 1
Inputs
#<alt (/ -1 (/ 1 (+ u1 -1)))>
#<alt (* (sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1)))))>
#<alt (/ u1 (/ -1 (/ 1 (+ u1 -1))))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt u1)))>
#<alt (* u2 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (/ 1 (/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2))>
#<alt (/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2)>
#<alt (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1)))>
#<alt (sqrt (/ (+ 1 u1) u1))>
#<alt (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (* (* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1))>
#<alt (sqrt (* (+ (* u1 u1) 1) (+ 1 u1)))>
#<alt (+ (* u1 u1) 1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (/ (+ 1 u1) u1)>
#<alt (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)>
#<alt (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))>
#<alt (+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))>
#<alt (+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))>
#<alt (+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2)))>
#<alt (+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* -314159265359/160000000000 (/ u2 (pow u1 3))) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (+ (* 314159265359/100000000000 (/ u2 (* u1 (pow (sqrt -1) 2)))) (* 314159265359/50000000000 u2))>
#<alt (+ (* -1 (/ (+ (* -314159265359/100000000000 (/ u2 (pow (sqrt -1) 2))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (pow (sqrt -1) 2))))) u1)) (* 314159265359/50000000000 u2))>
#<alt (+ (* -1 (/ (+ (* -314159265359/100000000000 (/ u2 (pow (sqrt -1) 2))) (* -1 (/ (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (pow (sqrt -1) 2))))) u1))) u1)) (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2)))>
#<alt (/ (+ (* 25000000000/314159265359 (* (sqrt (pow u1 3)) (/ 1 u2))) (* 50000000000/314159265359 (* (sqrt u1) (/ 1 u2)))) u1)>
#<alt (/ (+ (* 50000000000/314159265359 (* (sqrt u1) (/ 1 u2))) (* (pow u1 2) (+ (* -6250000000/314159265359 (* (sqrt u1) (/ 1 u2))) (* 25000000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2)))))) u1)>
#<alt (/ (+ (* 50000000000/314159265359 (* (sqrt u1) (/ 1 u2))) (* (pow u1 2) (+ (* 25000000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2))) (* (pow u1 2) (+ (* -6250000000/314159265359 (* (sqrt (/ 1 (pow u1 3))) (/ 1 u2))) (* 3125000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2)))))))) u1)>
#<alt (/ 50000000000/314159265359 u2)>
#<alt (+ (* 50000000000/314159265359 (/ 1 u2)) (* 25000000000/314159265359 (/ 1 (* u1 u2))))>
#<alt (- (+ (/ 25000000000/314159265359 (* u1 u2)) (* 50000000000/314159265359 (/ 1 u2))) (/ 6250000000/314159265359 (* (pow u1 2) u2)))>
#<alt (- (+ (/ 25000000000/314159265359 (* u1 u2)) (+ (* 50000000000/314159265359 (/ 1 u2)) (* 3125000000/314159265359 (/ 1 (* (pow u1 3) u2))))) (* 6250000000/314159265359 (/ 1 (* (pow u1 2) u2))))>
#<alt (* 50000000000/314159265359 (/ (pow (sqrt -1) 2) u2))>
#<alt (- (* 50000000000/314159265359 (/ (pow (sqrt -1) 2) u2)) (* 25000000000/314159265359 (/ 1 (* u1 u2))))>
#<alt (+ (* -1 (/ (+ (* 25000000000/314159265359 (/ 1 u2)) (* 6250000000/314159265359 (/ 1 (* u1 (* u2 (pow (sqrt -1) 2)))))) u1)) (* 50000000000/314159265359 (/ (pow (sqrt -1) 2) u2)))>
#<alt (+ (* -1 (/ (+ (/ 3125000000/314159265359 (* (pow u1 2) (* u2 (pow (sqrt -1) 4)))) (+ (/ 6250000000/314159265359 (* u1 (* u2 (pow (sqrt -1) 2)))) (* 25000000000/314159265359 (/ 1 u2)))) u1)) (* 50000000000/314159265359 (/ (pow (sqrt -1) 2) u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))>
#<alt (* 50000000000/314159265359 (sqrt (/ 1 u1)))>
#<alt (/ (+ (* 25000000000/314159265359 (sqrt (pow u1 3))) (* 50000000000/314159265359 (sqrt u1))) u1)>
#<alt (/ (+ (* 50000000000/314159265359 (sqrt u1)) (* (pow u1 2) (+ (* -6250000000/314159265359 (sqrt u1)) (* 25000000000/314159265359 (sqrt (/ 1 u1)))))) u1)>
#<alt (/ (+ (* 50000000000/314159265359 (sqrt u1)) (* (pow u1 2) (+ (* 25000000000/314159265359 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -6250000000/314159265359 (sqrt (/ 1 (pow u1 3)))) (* 3125000000/314159265359 (sqrt (/ 1 u1)))))))) u1)>
#<alt 50000000000/314159265359>
#<alt (+ 50000000000/314159265359 (* 25000000000/314159265359 (/ 1 u1)))>
#<alt (- (+ 50000000000/314159265359 (* 25000000000/314159265359 (/ 1 u1))) (/ 6250000000/314159265359 (pow u1 2)))>
#<alt (- (+ 50000000000/314159265359 (+ (* 25000000000/314159265359 (/ 1 u1)) (* 3125000000/314159265359 (/ 1 (pow u1 3))))) (/ 6250000000/314159265359 (pow u1 2)))>
#<alt (* 50000000000/314159265359 (pow (sqrt -1) 2))>
#<alt (- (* 50000000000/314159265359 (pow (sqrt -1) 2)) (* 25000000000/314159265359 (/ 1 u1)))>
#<alt (+ (* -1 (/ (+ 25000000000/314159265359 (* 6250000000/314159265359 (/ 1 (* u1 (pow (sqrt -1) 2))))) u1)) (* 50000000000/314159265359 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ 25000000000/314159265359 (+ (/ 3125000000/314159265359 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 6250000000/314159265359 (* u1 (pow (sqrt -1) 2))))) u1)) (* 50000000000/314159265359 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 u1)))>
#<alt (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2)))>
#<alt (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2)))>
#<alt (pow (sqrt -1) 2)>
#<alt (- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))>
#<alt (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 1/8 (* u1 (pow (sqrt -1) 2))))) u1)) (pow (sqrt -1) 2))>
#<alt (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))>
#<alt (+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))>
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#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))>
#<alt (+ (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))>
#<alt (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (+ (* 1/2 (/ (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -3/8 (/ (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* 3/8 (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))>
#<alt (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))>
#<alt (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))>
#<alt (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))>
#<alt (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))>
Calls

105 calls:

TimeVariablePointExpression
10.0ms
u1
@inf
(* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))
8.0ms
u1
@-inf
(* 314159265359/50000000000 (* u2 (sqrt u1)))
3.0ms
u1
@inf
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))
2.0ms
u2
@0
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))
2.0ms
u1
@0
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))

rewrite538.0ms (3.3%)

Memory
12.3MiB live, 814.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 434×/-lowering-/.f32
4 434×/-lowering-/.f64
4 258×*-lowering-*.f32
4 258×*-lowering-*.f64
3 514×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046267
1252249
21910249
08505237
Stop Event
iter limit
node limit
Counts
25 → 805
Calls
Call 1
Inputs
(/ -1 (/ 1 (+ u1 -1)))
(* (sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1))))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (/ -1 (/ 1 (+ u1 -1)))))
(/ u1 (/ -1 (/ 1 (+ u1 -1))))
(* 314159265359/50000000000 (* u2 (sqrt u1)))
(* u2 (sqrt u1))
(sqrt u1)
(/ 1 (/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2))
(/ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) u2)
(* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1)))
(sqrt (/ (+ 1 u1) u1))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(* (* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* (+ (* u1 u1) 1) (+ 1 u1))) (sqrt u1))
(sqrt (* (+ (* u1 u1) 1) (+ 1 u1)))
(+ (* u1 u1) 1)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(/ (+ 1 u1) u1)
(* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)
(* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (+ (* u2 (* u2 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000))
Outputs
(neg.f32 (+.f32 #s(literal -1 binary32) u1))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) u1))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))
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(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
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(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(*.f32 (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal -1 binary32) u1))))

simplify862.0ms (5.3%)

Memory
-7.7MiB live, 965.8MiB allocated
Algorithm
egg-herbie
Rules
15 082×accelerator-lowering-fma.f32
15 082×accelerator-lowering-fma.f64
8 756×*-lowering-*.f32
8 756×*-lowering-*.f64
5 476×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09288781
129427869
089007309
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
1
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(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
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(sqrt -1)
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(sqrt -1)
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u1
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-1
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(sqrt u1)
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(* 314159265359/50000000000 u2)
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50000000000/314159265359
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(sqrt (/ 1 u1))
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1
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(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
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(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 7)))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 7)))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* u1 (+ (* u1 (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* u2 (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (/ (* u2 (- (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (sqrt -1))) (* 314159265359/100000000000 (/ 1 (sqrt -1))))) u1))
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(* u2 (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(+ (* -1 (/ (+ (* -1 (/ (* u2 (+ (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 942477796077/400000000000 (sqrt -1)))) u1)) (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)) (* u2 (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u2 (+ (* -314159265359/160000000000 (sqrt -1)) (* -5/16 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (+ (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 942477796077/400000000000 (sqrt -1))))) u1)) (* u2 (+ (* -314159265359/100000000000 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)) (* u2 (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))))
(* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 (* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))))))))))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))))
(* (pow u1 2) (pow (sqrt -1) 2))
(* (pow u1 2) (- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1))) u1)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1))) u1)) (pow (sqrt -1) 2)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (* (sqrt (/ 1 (pow u1 7))) (- 1 (* 1/4 u1))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* -1/2 (* (sqrt (/ 1 u1)) (- 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
1
(+ 1 (pow u1 2))
(+ 1 (pow u1 2))
(+ 1 (pow u1 2))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(/ 1 u1)
(/ (+ 1 u1) u1)
(/ (+ 1 u1) u1)
(/ (+ 1 u1) u1)
1
(+ 1 (/ 1 u1))
(+ 1 (/ 1 u1))
(+ 1 (/ 1 u1))
1
(+ 1 (/ 1 u1))
(+ 1 (/ 1 u1))
(+ 1 (/ 1 u1))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* 1/2 (/ (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* -3/8 (/ (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(+ (* 1/2 (* (sqrt (pow u1 3)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(+ (* 1/2 (/ (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -3/8 (/ (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* 3/8 (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(* u1 (- (/ 1 u1) 1))
(*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(* u1 (- (/ 1 u1) 1))
(*.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)) (*.f32 u1 u1)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)) (*.f32 u1 u1)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) (neg.f32 u1))) (neg.f32 u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
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(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 7)))
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(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
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(* (pow u2 7) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 6 binary32))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)))))) (pow.f32 u2 #s(literal 7 binary32)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 7)))
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(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
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(* -1 (* (pow u2 7) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (+ (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(neg.f32 (*.f32 (pow.f32 u2 #s(literal 7 binary32)) (fma.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 6 binary32))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
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(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* u1 (+ (* u1 (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* -1/2 (* (sqrt (/ 1 u1)) (- 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))) (*.f32 u1 (*.f32 u1 u1)))))
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(fma.f32 u1 u1 #s(literal 1 binary32))
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 u1) u1)
(/.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 u1) u1)
(/.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 u1) u1)
(/.f32 (+.f32 #s(literal 1 binary32) u1) u1)
1
#s(literal 1 binary32)
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
1
#s(literal 1 binary32)
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
(*.f32 (*.f32 u2 u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
(*.f32 (*.f32 u2 u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
(*.f32 (*.f32 u2 u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))))))
(* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(fma.f32 u1 (*.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 3/4 binary32)) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 u2 (*.f32 u2 #s(literal 5/8 binary32))) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -3/8 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* 1/2 (/ (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
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(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u1) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (neg.f32 u1)))
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(* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* (sqrt u1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(fma.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))
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(+ (* -1/2 (/ (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
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(*.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))))))
(* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))))))

eval156.0ms (1%)

Memory
39.3MiB live, 349.2MiB allocated
Compiler

Compiled 44 854 to 4 571 computations (89.8% saved)

prune293.0ms (1.8%)

Memory
-15.7MiB live, 468.6MiB allocated
Pruning

94 alts after pruning (88 fresh and 6 done)

PrunedKeptTotal
New1 347421 389
Fresh164662
Picked235
Done033
Total1 365941 459
Accuracy
99.8%
Counts
1 459 → 94
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
92.7%
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
92.7%
(fma.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
92.7%
(fma.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
4.3%
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.7%
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.8%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
90.6%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
87.8%
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
63.6%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
80.9%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
97.7%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
88.8%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1))
97.8%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
96.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
63.6%
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
63.6%
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
68.5%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) u2))
63.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 25000000000/314159265359 binary32) (*.f32 (sqrt.f32 u1) #s(literal 50000000000/314159265359 binary32))) u1) u2))
73.9%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
19.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
4.8%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
65.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
80.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
69.2%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
69.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
76.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
4.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
19.9%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
89.6%
(*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
88.0%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
83.6%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
77.5%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.6%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) u2))))
92.7%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.5%
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
92.8%
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
80.9%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
63.6%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
63.6%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
65.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
80.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
76.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
73.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
80.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
77.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
77.5%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
65.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
91.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.4%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
76.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) u1) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
87.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
80.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
90.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
86.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
83.6%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.5%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 u2 (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
92.0%
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
92.8%
(*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
86.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
92.4%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
91.8%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
92.8%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
91.0%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
87.9%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
91.0%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
92.6%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
90.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
87.8%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
83.6%
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
72.3%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
65.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
19.3%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.6%
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
19.9%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.4%
(exp.f32 (*.f32 (neg.f32 (log.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal -1 binary32)))
Compiler

Compiled 3 837 to 2 571 computations (33% saved)

simplify215.0ms (1.3%)

Memory
25.8MiB live, 253.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(+.f32 u1 #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
cost-diff0
(/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
5 920×accelerator-lowering-fma.f32
5 920×accelerator-lowering-fma.f64
3 424×*-lowering-*.f32
3 424×*-lowering-*.f64
1 596×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037273
197271
2246269
3597269
41867269
53332269
64704269
75849269
86655269
97115269
107581269
117794269
08174248
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2)))
(/ 1 (sqrt (/ (- 1 u1) u1)))
1
(sqrt (/ (- 1 u1) u1))
(/ (- 1 u1) u1)
(- 1 u1)
u1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (sqrt (/ u1 (- 1 u1))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000))
u2
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)
-31006276680305942139213528068663279/750000000000000000000000000000000
(* u2 u2)
314159265359/50000000000
(/ 1 (/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))))
1
(/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))
(sqrt (+ u1 1))
(+ u1 1)
u1
(* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))
(* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
u2
(+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(* u2 u2)
(+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
-31006276680305942139213528068663279/750000000000000000000000000000000
314159265359/50000000000
(sqrt u1)
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (sin (* 314159265359/50000000000 u2)))
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))
(+ (* u1 (+ (* u1 u1) u1)) u1)
u1
(+ (* u1 u1) u1)
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
Outputs
(* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/ 1 (sqrt (/ (- 1 u1) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(sqrt (/ (- 1 u1) u1))
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/ (- 1 u1) u1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2
(* (sqrt (/ u1 (- 1 u1))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/ u1 (- 1 u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
u2
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(* u2 u2)
(*.f32 u2 u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(/ 1 (/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))))
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1))))
(sqrt (+ u1 1))
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(+ u1 1)
(+.f32 #s(literal 1 binary32) u1)
u1
(* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
u2
(+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))
(* u2 u2)
(*.f32 u2 u2)
(+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)
(fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
-31006276680305942139213528068663279/750000000000000000000000000000000
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(sqrt u1)
(sqrt.f32 u1)
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(+ (* u1 (+ (* u1 u1) u1)) u1)
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(+ (* u1 u1) u1)
(fma.f32 u1 u1 u1)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
u2

localize152.0ms (0.9%)

Memory
8.4MiB live, 245.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
accuracy99.0%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
accuracy98.7%
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
accuracy98.7%
(/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.2%
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
accuracy99.1%
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
accuracy98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.4%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
95.0ms256×0valid
Compiler

Compiled 254 to 40 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 23.0ms (29.9% of total)
const: 18.0ms (23.4% of total)
ival-sqrt: 13.0ms (16.9% of total)
ival-div: 11.0ms (14.3% of total)
ival-add: 6.0ms (7.8% of total)
ival-sin: 4.0ms (5.2% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.2%)

Memory
0.5MiB live, 76.4MiB allocated
Counts
22 → 336
Calls
Call 1
Inputs
#<alt (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (/ 1 (sqrt (/ (- 1 u1) u1)))>
#<alt (sqrt (/ (- 1 u1) u1))>
#<alt (/ (- 1 u1) u1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* (sqrt (/ u1 (- 1 u1))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (/ 1 (/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))))>
#<alt (/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))>
#<alt (sqrt (+ u1 1))>
#<alt (+ u1 1)>
#<alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))>
#<alt (+ (* u1 (+ (* u1 u1) u1)) u1)>
#<alt (+ (* u1 u1) u1)>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)>
#<alt (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))>
#<alt (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (/ 1 (sqrt -1))>
#<alt (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))>
#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))>
#<alt (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
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#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt 314159265359/50000000000>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))>
Calls

84 calls:

TimeVariablePointExpression
6.0ms
u1
@-inf
(sqrt (/ (- 1 u1) u1))
3.0ms
u2
@-inf
(/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))
1.0ms
u1
@0
(* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))
1.0ms
u1
@0
(/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))
1.0ms
u1
@-inf
(/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))

rewrite660.0ms (4.1%)

Memory
-29.9MiB live, 823.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 866×accelerator-lowering-fma.f32
5 866×accelerator-lowering-fma.f64
4 088×/-lowering-/.f32
4 088×/-lowering-/.f64
3 776×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037214
1215206
21574204
08239186
Stop Event
iter limit
node limit
Counts
22 → 856
Calls
Call 1
Inputs
(* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2)))
(/ 1 (sqrt (/ (- 1 u1) u1)))
(sqrt (/ (- 1 u1) u1))
(/ (- 1 u1) u1)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(/ 1 (/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))))
(/ (sqrt (+ u1 1)) (* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1)))
(sqrt (+ u1 1))
(+ u1 1)
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (sin (* 314159265359/50000000000 u2)))
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))
(+ (* u1 (+ (* u1 u1) u1)) u1)
(+ (* u1 u1) u1)
(sin (* 314159265359/50000000000 u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) 314159265359/50000000000)
(* (* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (sqrt u1))
(* u2 (+ (* (* u2 u2) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
Outputs
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(exp.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 0 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 0 binary32))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
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(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) u2) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/50000000000 binary32))))

simplify602.0ms (3.7%)

Memory
34.2MiB live, 815.4MiB allocated
Algorithm
egg-herbie
Rules
11 056×accelerator-lowering-fma.f32
11 056×accelerator-lowering-fma.f64
8 524×*-lowering-*.f32
8 524×*-lowering-*.f64
4 202×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07806435
124545853
083275442
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(/ 1 (sqrt -1))
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* u2 (* (+ 1 (* 1/4 (/ 1 u1))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 2))) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (+ (* -5/16 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 3))) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 2))) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))) u1)) (* -1/2 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 5)))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 5)))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2))))))))
(* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(/ (+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))) u1)
(/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* 1/2 (/ 1 (* u1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(- (+ (/ 1/2 (* u1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (/ 1/8 (* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(- (+ (/ 1/2 (* u1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (+ (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/16 (/ 1 (* (pow u1 3) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))) (* 1/8 (/ 1 (* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(- (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (/ 1 (* u1 (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* u2 (* (pow (sqrt -1) 4) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))) (* 1/2 (/ 1 (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))) u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* u2 (* (pow (sqrt -1) 6) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (+ (/ 1/8 (* u1 (* u2 (* (pow (sqrt -1) 4) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/2 (/ 1 (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))) u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* 50000000000/314159265359 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (+ 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (+ 1 u1) u1))) (* 3060196847853821555298148281676017575122444629042460390799/168750000000000000000000000000000000000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))))))) u2)
(* 37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 5))))
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(/ (+ (* 65625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 4)))) (+ (* 1875000000000000000000000000000000000000000000000000000000000000000000000000000/302029322777818351566783844332719832329455959975176141755859165754785028165295919 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 2)))) (* 37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (sqrt (/ (+ 1 u1) u1))))) (pow u2 5))
(/ (+ (* 1875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2942040179741035880626283160093840557343890439024082563138128196669246205082079478731699172216677070185713533221799987820430959 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 6)))) (+ (* 65625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 4)))) (+ (* 1875000000000000000000000000000000000000000000000000000000000000000000000000000/302029322777818351566783844332719832329455959975176141755859165754785028165295919 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 2)))) (* 37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (sqrt (/ (+ 1 u1) u1)))))) (pow u2 5))
(* 37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 5))))
(* -1 (/ (+ (* -37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (sqrt (/ (+ 1 u1) u1))) (* -1875000000000000000000000000000000000000000000000000000000000000000000000000000/302029322777818351566783844332719832329455959975176141755859165754785028165295919 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 2))))) (pow u2 5)))
(* -1 (/ (+ (* -37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (sqrt (/ (+ 1 u1) u1))) (+ (* -1875000000000000000000000000000000000000000000000000000000000000000000000000000/302029322777818351566783844332719832329455959975176141755859165754785028165295919 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 2)))) (* -65625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 4)))))) (pow u2 5)))
(* -1 (/ (+ (* -37500000000000000000000000000000000000000000000000000000/3060196847853821555298148281676017575122444629042460390799 (sqrt (/ (+ 1 u1) u1))) (+ (* -1875000000000000000000000000000000000000000000000000000000000000000000000000000/302029322777818351566783844332719832329455959975176141755859165754785028165295919 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 2)))) (+ (* -65625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 4)))) (* -1875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2942040179741035880626283160093840557343890439024082563138128196669246205082079478731699172216677070185713533221799987820430959 (* (sqrt (/ (+ 1 u1) u1)) (/ 1 (pow u2 6))))))) (pow u2 5)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* -1/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8)))))
(sqrt u1)
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
1
(+ 1 u1)
(+ 1 u1)
(+ 1 u1)
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(* (sqrt (pow u1 3)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/8 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(* 314159265359/50000000000 (* u2 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 314159265359/50000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
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(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* u2 (* (+ 1 (* 1/4 (/ 1 u1))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(fma.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32))) u1))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 2))) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (fma.f32 (*.f32 #s(literal 3/8 binary32) u2) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u1 u1)) (/.f32 (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32))) u1)))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (+ (* -5/16 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 3))) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (pow u1 2))) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(fma.f32 u2 (*.f32 (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u1) #s(literal -1/2 binary32)) (fma.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (fma.f32 (*.f32 #s(literal 3/8 binary32) u2) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u1 u1)) (/.f32 (*.f32 #s(literal -5/16 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (*.f32 u1 (*.f32 u1 u1))))))
(* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 #s(literal -1 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 u2 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) u2) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u1)))
(+ (* -1 (/ (+ (* -1/2 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 u2 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 3/4 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) u1) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* 1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))) u1)) (* -1/2 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 u2 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (/.f32 (fma.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 5/8 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) u1) (*.f32 (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32))) #s(literal 3/4 binary32))) (neg.f32 u1))) (neg.f32 u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 5)))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 5)))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2)))))))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (/ 1 (pow u2 2))))))))
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(* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
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(/ (+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) u1)
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(/ (+ (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))) u1)
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(/ (+ (* (sqrt u1) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))) u1)
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(/ 1 (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/8 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
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(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
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(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(*.f32 u2 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(*.f32 u2 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 u2 u2))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 u2 u2))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 u2 u2))))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) u2)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2 (*.f32 (sqrt.f32 u1) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2 (*.f32 (sqrt.f32 u1) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (pow.f32 u2 #s(literal 4 binary32))) (fma.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (pow.f32 u2 #s(literal 4 binary32))) (fma.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))
(*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1)) (pow.f32 u2 #s(literal 4 binary32))))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(*.f32 (fma.f32 (sqrt.f32 u1) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1)) (pow.f32 u2 #s(literal 4 binary32))))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(*.f32 (+.f32 (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(*.f32 (+.f32 (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(*.f32 (+.f32 (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))

eval227.0ms (1.4%)

Memory
6.9MiB live, 271.5MiB allocated
Compiler

Compiled 34 041 to 4 096 computations (88% saved)

prune331.0ms (2%)

Memory
11.7MiB live, 573.2MiB allocated
Pruning

99 alts after pruning (92 fresh and 7 done)

PrunedKeptTotal
New1 268261 294
Fresh176683
Picked235
Done246
Total1 289991 388
Accuracy
99.8%
Counts
1 388 → 99
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
92.7%
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
92.7%
(fma.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
4.3%
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
69.1%
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
87.6%
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
80.7%
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.8%
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.8%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
90.6%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
87.8%
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
80.9%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
69.1%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
97.7%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
97.8%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
96.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
73.9%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
19.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
4.8%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
65.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
80.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
69.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
71.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
76.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
4.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
19.9%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
89.6%
(*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
72.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
97.6%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
80.9%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
88.0%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
77.5%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.5%
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
69.1%
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
80.9%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
63.6%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
65.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
80.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
76.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
73.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
80.9%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
63.6%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
77.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
77.5%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
65.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
86.3%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
84.4%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
91.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.4%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) u1) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
80.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
87.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32))))
87.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
90.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
87.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.9%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.5%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.6%
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
71.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
69.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
76.3%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 u2 (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
92.0%
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
92.8%
(*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
19.4%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
86.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
86.2%
(*.f32 u2 (fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
92.4%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
91.8%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
91.0%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
87.9%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
91.0%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
92.6%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
82.0%
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
90.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
72.3%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
65.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
19.3%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.6%
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
19.9%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.4%
(exp.f32 (*.f32 (neg.f32 (log.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal -1 binary32)))
Compiler

Compiled 5 037 to 1 909 computations (62.1% saved)

regimes428.0ms (2.7%)

Memory
-36.6MiB live, 778.5MiB allocated
Counts
158 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 25000000000/314159265359 binary32) (*.f32 (sqrt.f32 u1) #s(literal 50000000000/314159265359 binary32))) u1) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
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(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) u1) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
Calls

8 calls:

94.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
51.0ms
cosTheta_i
48.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
45.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
43.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.2%1cosTheta_i
98.2%1u1
98.2%1u2
98.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes359.0ms (2.2%)

Memory
20.9MiB live, 609.1MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

109.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
48.0ms
u2
32.0ms
u1
31.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
31.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
98.2%1cosTheta_i
98.2%1u1
98.2%1u2
98.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes217.0ms (1.3%)

Memory
19.5MiB live, 523.0MiB allocated
Counts
103 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

7 calls:

33.0ms
cosTheta_i
29.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
29.0ms
u1
28.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms
u2
Results
AccuracySegmentsBranch
97.5%2u2
97.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.4%2u1
97.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.8%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.8%1cosTheta_i
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes153.0ms (1%)

Memory
-15.0MiB live, 349.2MiB allocated
Counts
101 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 25000000000/314159265359 binary32) (*.f32 (sqrt.f32 u1) #s(literal 50000000000/314159265359 binary32))) u1) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(fma.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(fma.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) u2))
Outputs
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

5 calls:

31.0ms
u2
28.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms
u1
26.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
96.9%2u1
96.9%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
96.9%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.4%2u2
97.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes152.0ms (0.9%)

Memory
2.2MiB live, 273.4MiB allocated
Counts
97 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
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(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(fma.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(fma.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

5 calls:

30.0ms
u2
29.0ms
u1
26.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
26.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
92.8%1u1
92.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
96.6%2u2
96.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes193.0ms (1.2%)

Memory
24.3MiB live, 306.9MiB allocated
Counts
96 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
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(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
Calls

6 calls:

47.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
29.0ms
cosTheta_i
28.0ms
u1
26.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
26.0ms
u2
Results
AccuracySegmentsBranch
92.8%1cosTheta_i
92.8%1u1
92.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.8%1u2
92.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes212.0ms (1.3%)

Memory
-14.9MiB live, 328.8MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 25000000000/314159265359 binary32) (*.f32 (sqrt.f32 u1) #s(literal 50000000000/314159265359 binary32))) u1) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) u2) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
Outputs
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
Calls

6 calls:

60.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
47.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
u1
23.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
23.0ms
u2
Results
AccuracySegmentsBranch
92.8%1u2
92.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.8%1cosTheta_i
92.8%1u1
92.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes132.0ms (0.8%)

Memory
2.7MiB live, 292.2MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

28.0ms
cosTheta_i
20.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms
u1
19.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
92.8%1u1
92.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.8%1cosTheta_i
92.8%1u2
92.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes115.0ms (0.7%)

Memory
6.7MiB live, 279.5MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 (*.f32 u2 u2) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
Outputs
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
Calls

6 calls:

19.0ms
cosTheta_i
18.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
18.0ms
u1
18.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
90.6%1u2
90.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.6%1cosTheta_i
90.6%1u1
90.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes103.0ms (0.6%)

Memory
0.6MiB live, 208.4MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

18.0ms
cosTheta_i
17.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms
u1
16.0ms
u2
16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
90.6%1cosTheta_i
90.6%1u2
90.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.6%1u1
90.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes157.0ms (1%)

Memory
3.6MiB live, 160.6MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

51.0ms
u2
44.0ms
cosTheta_i
16.0ms
u1
15.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
14.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
90.6%1u1
90.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.6%1u2
90.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.6%1cosTheta_i
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes92.0ms (0.6%)

Memory
21.5MiB live, 179.5MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) u2))
(/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(/.f32 (*.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
Calls

6 calls:

16.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
u2
15.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms
cosTheta_i
13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
87.9%1u1
87.9%1u2
87.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.9%1cosTheta_i
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes74.0ms (0.5%)

Memory
-32.8MiB live, 163.7MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 50000000000/314159265359 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

13.0ms
u1
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms
cosTheta_i
Results
AccuracySegmentsBranch
87.8%1cosTheta_i
87.8%1u1
87.8%1u2
87.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes61.0ms (0.4%)

Memory
1.5MiB live, 124.5MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
Calls

6 calls:

13.0ms
u2
10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
cosTheta_i
9.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
u1
Results
AccuracySegmentsBranch
86.5%2u2
86.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
82.0%1cosTheta_i
86.7%2u1
86.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
86.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes44.0ms (0.3%)

Memory
32.5MiB live, 71.7MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 u2 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u1 u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 u2 (neg.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
Calls

5 calls:

10.0ms
u1
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms
u2
8.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
86.3%2u2
86.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
86.4%2u1
86.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
86.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes58.0ms (0.4%)

Memory
-5.8MiB live, 72.7MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -50000000000/314159265359 binary32) (/.f32 #s(literal -25000000000/314159265359 binary32) u1)) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 #s(literal 25000000000/314159265359 binary32) u1)) u2))
Outputs
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

20.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms
u2
6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
cosTheta_i
Results
AccuracySegmentsBranch
80.9%1cosTheta_i
84.2%2u2
84.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.9%1u1
80.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes13.0ms (0.1%)

Memory
-20.4MiB live, 20.7MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) u2)
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
Calls

2 calls:

7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
u2
Results
AccuracySegmentsBranch
84.2%2u2
84.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes42.0ms (0.3%)

Memory
-6.7MiB live, 31.9MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
Calls

4 calls:

28.0ms
u1
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
u2
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
76.0%1u1
76.0%1cosTheta_i
79.5%2u2
79.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes15.0ms (0.1%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
Calls

4 calls:

4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
u1
3.0ms
cosTheta_i
3.0ms
u2
Results
AccuracySegmentsBranch
73.3%1cosTheta_i
73.3%1u1
76.7%2u2
76.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes45.0ms (0.3%)

Memory
-17.2MiB live, 21.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
Calls

3 calls:

38.0ms
u2
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
u1
Results
AccuracySegmentsBranch
73.3%1u1
73.3%1u2
73.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))
(fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
Calls

4 calls:

3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
u1
3.0ms
u2
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
65.2%1cosTheta_i
65.2%1u2
65.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
65.2%1u1
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes22.0ms (0.1%)

Memory
-20.3MiB live, 18.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
Outputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
Calls

4 calls:

16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
cosTheta_i
2.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
65.1%1cosTheta_i
65.1%1u1
65.1%1u2
65.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes5.0ms (0%)

Memory
20.3MiB live, 20.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Calls

4 calls:

1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
u1
1.0ms
u2
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
19.3%1cosTheta_i
19.3%1u2
19.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.3%1u1
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch3.0ms (0%)

Memory
-37.3MiB live, 4.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2634613513946533
1.4051107168197632
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2634613513946533
1.4051107168197632
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2634613513946533
1.4051107168197632
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004159013275057077
0.004660407546907663
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000818955828435719
0.0008275676518678665
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0038944578263908625
0.004766497295349836
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0038944578263908625
0.004766497295349836
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0038944578263908625
0.004766497295349836
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0038944578263908625
0.004766497295349836
Compiler

Compiled 17 to 17 computations (0% saved)

simplify51.0ms (0.3%)

Memory
-1.5MiB live, 37.3MiB allocated
Algorithm
egg-herbie
Rules
72×*-commutative_binary32
+-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086540
1127540
2130540
3132540
4133540
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2415919/536870912 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 14087493/17179869184 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/8388608 binary32)) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2415919/536870912 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2415919/536870912 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 14087493/17179869184 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 14087493/17179869184 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/2147483648 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

soundness2.3s (14.3%)

Memory
9.9MiB live, 1 371.7MiB allocated
Rules
17 094×accelerator-lowering-fma.f32
17 094×accelerator-lowering-fma.f64
15 082×accelerator-lowering-fma.f32
15 082×accelerator-lowering-fma.f64
11 302×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021002
1602910
21736837
35177784
47592783
08372754
07495285
123314733
270534706
081464444
039202
1237184
21956182
08690175
07806435
124545853
083275442
01032
14032
223132
3194732
0966532
09288781
129427869
089007309
037214
1215206
21574204
08239186
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 982 to 409 computations (58.4% saved)

preprocess180.0ms (1.1%)

Memory
-4.2MiB live, 234.8MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 282 to 340 computations (73.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...