Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 14.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze272.0ms (1.9%)

Memory
7.1MiB live, 513.0MiB 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)

sample2.2s (15.8%)

Memory
-70.3MiB live, 1 714.8MiB allocated
Samples
1.5s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 448.0ms (37.9% of total)
ival-<=: 198.0ms (16.7% of total)
ival-sin: 135.0ms (11.4% of total)
ival-mult: 127.0ms (10.7% of total)
ival-sub: 94.0ms (7.9% of total)
ival-div: 64.0ms (5.4% of total)
ival-sqrt: 56.0ms (4.7% of total)
ival-and: 31.0ms (2.6% of total)
ival->: 23.0ms (1.9% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain169.0ms (1.2%)

Memory
-14.4MiB live, 137.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(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)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f32(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))cancellation10
Confusion
Predicted +Predicted -
+11
-0254
Precision
1.0
Recall
0.5
Confusion?
Predicted +Predicted MaybePredicted -
+101
-00254
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms512×0valid
Compiler

Compiled 90 to 37 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
const: 12.0ms (34.3% of total)
ival-mult: 6.0ms (17.2% of total)
ival-sin: 6.0ms (17.2% of total)
ival-div: 4.0ms (11.4% of total)
ival-sqrt: 3.0ms (8.6% of total)
ival-sub: 2.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess49.0ms (0.3%)

Memory
34.7MiB live, 72.9MiB 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
036106
178101
2132101
324399
447099
585499
6110499
7123899
8131099
9135699
10137299
11137699
01011
01611
12211
22611
33111
43811
54811
66311
78611
810811
911611
1011811
011811
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))
Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.6MiB 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)

simplify13.0ms (0.1%)

Memory
-26.7MiB live, 11.2MiB 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×lower-+.f64
36×lower-+.f32
26×sub-neg
26×lower--.f64
24×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12236
22636
33136
43836
54836
66336
78636
810836
911636
1011836
011836
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#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)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize35.0ms (0.2%)

Memory
34.8MiB live, 71.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.21274357221561926
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.35384750976844204
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
26.0ms256×0valid
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 (20% of total)
ival-sin: 3.0ms (20% of total)
const: 3.0ms (20% of total)
ival-div: 2.0ms (13.4% of total)
ival-sub: 2.0ms (13.4% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-38.5MiB live, 14.1MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (-.f32 #s(literal 1 binary32) u1)>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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
20.0ms
u1
@0
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
2.0ms
u1
@inf
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

simplify302.0ms (2.1%)

Memory
29.8MiB live, 411.8MiB allocated
Algorithm
egg-herbie
Rules
17 094×lower-fma.f64
17 094×lower-fma.f32
5 704×lower-*.f64
5 704×lower-*.f32
3 272×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021002
1602910
21736837
35177784
47592783
08372754
Stop Event
iter limit
node limit
Counts
84 → 83
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 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (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)))
(*.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))
(*.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)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 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 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (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))

rewrite304.0ms (2.2%)

Memory
12.0MiB live, 334.5MiB allocated
Rules
3 704×lower-/.f64
3 702×lower-/.f32
3 286×lower-*.f64
3 282×lower-*.f32
2 456×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01632
14632
223732
3195332
0969232
Stop Event
iter limit
node limit
iter limit
Counts
6 → 521
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))
(/.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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 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 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (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 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.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))))
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32) (*.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32))))
(exp.f32 (-.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(pow.f32 (/.f32 u1 (+.f32 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 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 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 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.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 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (/.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.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)))))
(/.f32 (sqrt.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sqrt.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (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)))) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (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)))))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (neg.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (pow.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal -1/2 binary32)))
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(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval73.0ms (0.5%)

Memory
15.0MiB live, 162.0MiB allocated
Compiler

Compiled 16 350 to 2 497 computations (84.7% saved)

prune152.0ms (1.1%)

Memory
-9.4MiB live, 302.2MiB allocated
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New56737604
Fresh000
Picked011
Done000
Total56738605
Accuracy
99.6%
Counts
605 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
98.2%
(*.f32 (pow.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)))
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)))
86.7%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.1%
(*.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)))
68.3%
(*.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)))
95.6%
(*.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)))
86.8%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.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)))
81.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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)))
98.3%
(*.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)))
98.3%
(*.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)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.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)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
90.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
87.1%
(*.f32 (sqrt.f32 (-.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.2%
(*.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)))
98.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.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)))
80.6%
(*.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)))
87.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%
(*.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)))
86.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.5%
#s(approx (* (sqrt (/ u1 (- 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) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 1 676 to 1 105 computations (34.1% saved)

simplify193.0ms (1.4%)

Memory
-19.6MiB live, 272.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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)))
cost-diff64
(neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
cost-diff160
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))
cost-diff0
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
cost-diff0
(*.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)))
cost-diff0
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff0
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.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 #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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff704
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
Rules
7 688×lower-fma.f64
7 682×lower-fma.f32
3 100×lower-*.f64
3 076×lower-*.f32
2 470×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045454
080440
1147420
2329416
3783416
42124416
53378416
65365410
08141403
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))
#s(literal 1 binary32)
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #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 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.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)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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)))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))
u1
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #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) (fma.f32 u1 u1 #s(literal 1 binary32)))
#s(literal -1 binary32)
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 u1 #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 u1 u1)
(+.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))
(fma.f32 (*.f32 u1 u1) (*.f32 u1 (neg.f32 u1)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #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 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (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)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.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)))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 u1 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
u1
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))
(fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))
#s(literal -1 binary32)
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 u1 #s(literal -1 binary32))
(neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 u1 u1)
(+.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize141.0ms (1%)

Memory
21.4MiB live, 332.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.20655231244717726
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.2897262695368841
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.32554628907376815
(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
accuracy0.20655231244717726
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.30697250976844204
(*.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)))
accuracy0.34765625
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
accuracy0.20655231244717726
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34212875976844204
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy2.307522450180068
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
accuracy0.1875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34212875976844204
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy5.978937844432323
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3125
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
accuracy0.34212875976844204
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.42806625976844204
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
Samples
72.0ms236×0valid
8.0ms13×1valid
2.0ms0invalid
Compiler

Compiled 443 to 41 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 19.0ms (32.2% of total)
ival-div: 13.0ms (22.1% of total)
ival-sqrt: 8.0ms (13.6% of total)
ival-add: 6.0ms (10.2% of total)
ival-sin: 4.0ms (6.8% of total)
const: 4.0ms (6.8% of total)
ival-sub: 2.0ms (3.4% of total)
adjust: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
-13.2MiB live, 25.2MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#<alt (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (-.f32 #s(literal 1 binary32) u1)>
#<alt (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))>
#<alt #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))>
#<alt (*.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)))>
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))>
#<alt (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))>
#<alt (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))>
#<alt (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))>
#<alt (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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)))>
#<alt (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))>
#<alt (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))>
Outputs
#<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 (* (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) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) (pow u2 2)))))))>
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#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (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 1>
#<alt (+ 1 (* 1/2 (/ 1 u1)))>
#<alt (- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))>
#<alt (+ 1 (+ (* -1 (/ (+ 5/8 (* 3/16 (/ 1 u1))) (pow u1 2))) (* 1/2 (/ 1 u1))))>
#<alt (pow (sqrt -1) 2)>
#<alt (- (pow (sqrt -1) 2) (* 1/2 (/ 1 u1)))>
#<alt (+ (* -1 (/ (+ 1/2 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1))) u1)) (pow (sqrt -1) 2))>
#<alt (+ (* -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))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -1/2 (sqrt (pow u1 5))))>
#<alt (+ (sqrt u1) (* (pow u1 3) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))>
#<alt (+ (sqrt u1) (* (pow u1 3) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))>
#<alt (sqrt (/ 1 u1))>
#<alt (+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 5)))))>
#<alt (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 9))))))>
#<alt (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 9)))))))>
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1 (pow u1 2))))>
#<alt (* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))>
#<alt (* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))>
#<alt (/ 1 u1)>
#<alt (/ (- 1 (/ 1 (pow u1 2))) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)>
#<alt (/ 1 u1)>
#<alt (* -1 (/ (- (/ 1 (pow u1 2)) 1) u1))>
#<alt (* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))>
#<alt (* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) u1))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- (* -2 u1) 1)))>
#<alt (+ 1 (* u1 (- (* u1 (- (* 2 u1) 2)) 1)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) (+ 1 (/ 2 (pow u1 2)))))>
#<alt (* u1 (- (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3)))) (+ 1 (/ 2 (pow u1 2)))))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 u1))) u1)))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- u1 1))>
#<alt (* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))>
#<alt (* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))>
#<alt (* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))>
#<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 (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt 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)) (- 3 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (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 (* (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))) (* 5/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))))))))))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 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 (/ 1 u1))) (* 3/2 (sqrt u1)))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (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)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* -3/16 (/ (sqrt -1) u1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<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))>
#<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 (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* -1 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- u1 1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))>
#<alt u1>
#<alt (* u1 (- 1 (/ 1 u1)))>
#<alt (* u1 (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)))>
#<alt (* u1 (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))))>
#<alt u1>
#<alt (* -1 (* u1 (- (/ 1 u1) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))>
Calls

90 calls:

TimeVariablePointExpression
22.0ms
u1
@-inf
(* (sqrt (/ u1 (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))))) (sin (* 314159265359/50000000000 u2)))
3.0ms
u1
@0
(* (sqrt (/ u1 (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))))) (sin (* 314159265359/50000000000 u2)))
2.0ms
u2
@inf
(* (sqrt (/ u1 (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))

simplify274.0ms (1.9%)

Memory
10.6MiB live, 447.2MiB allocated
Algorithm
egg-herbie
Rules
10 854×lower-fma.f64
10 854×lower-fma.f32
6 888×lower-*.f64
6 888×lower-*.f32
3 072×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06295717
119445142
259904636
082034376
Stop Event
iter limit
node limit
Counts
360 → 353
Calls
Call 1
Inputs
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) (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) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) (pow u2 2)))))))
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(+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 5)))))
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 9))))))
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 9)))))))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* -1 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(/ 1 u1)
(/ (- 1 (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 (pow u1 2)) 1) u1))
(* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))
(* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) u1))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (* -2 u1) 1)))
(+ 1 (* u1 (- (* u1 (- (* 2 u1) 2)) 1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 2 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3)))) (+ 1 (/ 2 (pow u1 2)))))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 u1))) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) 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)))) (* 3/2 (* (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)) (- 3 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (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)))))
(* (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))) (* 5/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))))))))))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* -3/16 (/ (sqrt -1) u1))) u1)) (* -1/2 (sqrt -1))) u1)))
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(* 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))
(* 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))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
u1
(* 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 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))
Outputs
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 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 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)
(* (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)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (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 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.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)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.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 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.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)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.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)))
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(* 314159265359/50000000000 (* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (- 1 (pow u1 4)))) u2))
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(- (+ (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 5/8 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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 5/4 binary32) (*.f32 u1 u1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.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)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/8 binary32)) u1)) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* -3/16 (/ (sqrt -1) u1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -5/8 binary32))) (neg.f32 u1))) u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 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 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 u2 (*.f32 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))
(* 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 u2 (*.f32 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))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 u1)))
(*.f32 u1 (fma.f32 u1 (neg.f32 u1) u1))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(*.f32 u1 (fma.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32)) u1))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(*.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
u1
(* u1 (- 1 (/ 1 u1)))
(+.f32 u1 #s(literal -1 binary32))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)))
(+.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))))
(-.f32 u1 (/.f32 (+.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u1))
u1
(* -1 (* u1 (- (/ 1 u1) 1)))
(+.f32 u1 #s(literal -1 binary32))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(+.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))
(-.f32 u1 (/.f32 (+.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u1))

rewrite398.0ms (2.8%)

Memory
22.1MiB live, 655.4MiB allocated
Rules
5 024×lower-/.f64
5 012×lower-/.f32
4 490×lower-fma.f64
4 484×lower-fma.f32
4 128×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045319
080346
1276245
22131245
08409245
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 001
Calls
Call 1
Inputs
(/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.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)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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)))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
Outputs
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 (fma.f32 u1 u1 u1)) (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
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(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 (fma.f32 u1 u1 u1))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 (fma.f32 u1 u1 u1))) (-.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))))
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(pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 u1 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (neg.f32 (fma.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(sqrt.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (/.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (-.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (sqrt.f32 (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (-.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 4 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 2 binary32)))
(pow.f32 u1 #s(literal 4 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 2 binary32))
(pow.f32 (neg.f32 (*.f32 u1 u1)) #s(literal 2 binary32))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1 binary32))
(*.f32 (neg.f32 (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))
(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (neg.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 u1 u1)))) (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)))))
(*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (neg.f32 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 (neg.f32 u1) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))

eval162.0ms (1.2%)

Memory
6.4MiB live, 445.9MiB allocated
Compiler

Compiled 43 903 to 4 346 computations (90.1% saved)

prune310.0ms (2.2%)

Memory
-25.5MiB live, 698.8MiB allocated
Pruning

59 alts after pruning (57 fresh and 2 done)

PrunedKeptTotal
New1 403461 449
Fresh211132
Picked415
Done011
Total1 428591 487
Accuracy
99.7%
Counts
1 487 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
80.1%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
98.3%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
97.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
76.6%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
74.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
69.0%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.3%
(*.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)))
83.3%
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.6%
(*.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)))
86.8%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
80.0%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
90.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
90.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%
(*.f32 (sqrt.f32 (-.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.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)))
80.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
80.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.7%
(*.f32 #s(approx (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.4%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
69.0%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
76.6%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 u2 (*.f32 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))))))))
74.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
20.8%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.0%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)))))
88.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Compiler

Compiled 2 652 to 1 685 computations (36.5% saved)

simplify212.0ms (1.5%)

Memory
28.8MiB live, 369.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
cost-diff544
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (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)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(*.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))))
cost-diff0
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
cost-diff0
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
cost-diff0
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
11 220×lower-fma.f64
11 212×lower-fma.f32
2 920×lower-*.f64
2 900×lower-*.f32
1 870×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052377
085377
1144373
2273365
3435357
4621357
5754357
61006357
72034357
84031357
96054357
107466357
08051357
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 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))))
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)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))
u1
(fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))
(*.f32 u1 u1)
(neg.f32 (*.f32 u1 u1))
#s(literal 1 binary32)
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 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))))
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)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))
(neg.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))))
u1
(fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))
(fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 u1 u1)
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 (neg.f32 u1))
#s(literal 1 binary32)
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize171.0ms (1.2%)

Memory
-24.0MiB live, 430.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.21274357221561926
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.24609375
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.35384750976844204
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3287887695368841
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
accuracy0.39453125
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
accuracy6.134961493060084
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.25132753907376804
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
accuracy0.30078125
(*.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))))
accuracy0.37728500976844204
(*.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)))
accuracy3.480164160150703
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.35384750976844204
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy6.134961493060084
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy9.319613504638047
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.14453125
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
accuracy0.21274357221561926
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.35384750976844204
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
116.0ms256×0valid
Compiler

Compiled 357 to 48 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 40.0ms (41.6% of total)
ival-sqrt: 13.0ms (13.5% of total)
ival-div: 12.0ms (12.5% of total)
ival-add: 7.0ms (7.3% of total)
ival-sub: 7.0ms (7.3% of total)
const: 7.0ms (7.3% of total)
ival-pow: 5.0ms (5.2% of total)
ival-sin: 3.0ms (3.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series221.0ms (1.6%)

Memory
-9.6MiB live, 70.2MiB allocated
Counts
23 → 372
Calls
Call 1
Inputs
#<alt (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)>
#<alt (-.f32 #s(literal 1 binary32) u1)>
#<alt (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt #s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))>
#<alt (*.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))))>
#<alt (*.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)))>
#<alt (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))>
#<alt (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))>
#<alt (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))>
#<alt (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))>
#<alt (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))>
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))))>
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#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 9))))>
#<alt (+ (sqrt u1) (* (pow u1 5) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 7))))))>
#<alt (+ (sqrt u1) (* (pow u1 5) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))>
#<alt (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))) u1)>
#<alt (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 17))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) u1)>
#<alt (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 17))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 17))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) u1)>
#<alt (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 3)))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow u1 9))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))) u1))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1)))) (pow u1 5))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))) u1))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (sqrt -1)))))) (pow u1 5))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))) u1))>
#<alt u1>
#<alt (* u1 (+ 1 (pow u1 4)))>
#<alt (* u1 (+ 1 (* (pow u1 4) (+ 1 (pow u1 4)))))>
#<alt (* u1 (+ 1 (* (pow u1 4) (+ 1 (* (pow u1 4) (+ 1 (pow u1 4)))))))>
#<alt (/ -1 (pow u1 3))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow u1 4))) (pow u1 3)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 4))) (pow u1 4))) 1) (pow u1 3))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 4))) (pow u1 8))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 3))>
#<alt (/ -1 (pow u1 3))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow u1 4))) (pow u1 3)))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 8)))) (pow u1 3)))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 (pow u1 4)) (+ (/ 1 (pow u1 8)) (/ 1 (pow u1 12))))) (pow u1 3)))>
#<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 1>
#<alt (+ 1 (* -1/2 u1))>
#<alt (+ 1 (* u1 (- (* -1/8 u1) 1/2)))>
#<alt (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))>
#<alt (* (sqrt u1) (sqrt -1))>
#<alt (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))>
#<alt (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))>
#<alt (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt u1) (sqrt -1)))>
#<alt (* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))>
#<alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))>
#<alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -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 (* 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>
#<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 1>
#<alt (+ 1 (* -1/2 u1))>
#<alt (+ 1 (* u1 (- (* -1/8 u1) 1/2)))>
#<alt (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))>
#<alt (sqrt (/ 1 (pow u1 3)))>
#<alt (/ (+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 3))))) u1)>
#<alt (/ (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* -1/8 (sqrt (/ 1 (pow u1 5)))))) u1)>
#<alt (/ (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 9))))))) u1)>
#<alt (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) u1))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1))>
#<alt (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 9)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1))>
Calls

93 calls:

TimeVariablePointExpression
6.0ms
u1
@-inf
(/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))
2.0ms
u1
@inf
(* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
1.0ms
u2
@0
(* u2 (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
1.0ms
u2
@0
(* (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))))
1.0ms
u2
@inf
(* (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))))

simplify321.0ms (2.3%)

Memory
10.1MiB live, 608.7MiB allocated
Algorithm
egg-herbie
Rules
11 920×lower-fma.f64
11 920×lower-fma.f32
7 892×lower-*.f64
7 892×lower-*.f32
4 144×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07397373
122676433
273466425
081535993
Stop Event
iter limit
node limit
Counts
372 → 371
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 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (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)
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) (sin (* 314159265359/50000000000 u2)))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* (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)))
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(* (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))))
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(sqrt -1)
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* 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))
(* (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))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
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(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
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(+ (* -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)))
(* 314159265359/50000000000 (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (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 (* (+ 1 (* 1/4 (/ 1 u1))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -5/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -5/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* -3/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 3))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 5/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* -1/2 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1 (* 1/4 (/ 1 u1))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (+ (* -5/8 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (pow u1 2))) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1)))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (+ (* -5/8 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (pow u1 2))) (+ (* -3/16 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (pow u1 3))) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))))))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* -1 (/ (+ (* -1/2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* 5/8 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))) u1))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* -3/16 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))) u1)) (* -1/2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))))
(* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (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))))))
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1
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 5/8 (pow u1 2)))
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1
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(sin (* 314159265359/50000000000 u2))
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(* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
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(* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (+ 1 (* -1 (pow u1 4))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (+ 1 (* -1 (pow u1 4))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (+ 1 (* -1 (pow u1 4))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (+ 1 (* -1 (pow u1 4))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (+ 1 (* -1 (pow u1 4))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (+ 1 (* -1 (pow u1 4))))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 9))))
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(* (sqrt (/ 1 (pow u1 3))) (sqrt -1))
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))) u1)
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 17))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) u1)
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 17))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 17))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) u1)
(* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 3)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1)))) (pow u1 5))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))) u1))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (sqrt -1)))))) (pow u1 5))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))) u1))
u1
(* u1 (+ 1 (pow u1 4)))
(* u1 (+ 1 (* (pow u1 4) (+ 1 (pow u1 4)))))
(* u1 (+ 1 (* (pow u1 4) (+ 1 (* (pow u1 4) (+ 1 (pow u1 4)))))))
(/ -1 (pow u1 3))
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(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 4))) (pow u1 8))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 3))
(/ -1 (pow u1 3))
(* -1 (/ (+ 1 (/ 1 (pow u1 4))) (pow u1 3)))
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(+ (* (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))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
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(* 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)))))))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* (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)
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1
(+ 1 (* -1/2 u1))
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(* (sqrt u1) (sqrt -1))
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(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -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)
(* 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
(+ 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))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(sqrt (/ 1 (pow u1 3)))
(/ (+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 3))))) u1)
(/ (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* -1/8 (sqrt (/ 1 (pow u1 5)))))) u1)
(/ (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 9))))))) u1)
(* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) u1))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 9)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1))
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)))))))
(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 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(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 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (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 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.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 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.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 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (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))))) (fma.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)))))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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)) (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 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) 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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #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 (- 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 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (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 (- 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 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 #s(literal 1/2 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))))) (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 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.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)
(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 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1)) u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.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) 1)
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.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) 1)
(+.f32 (/.f32 #s(literal 1 binary32) 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))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1))
(* u1 (- (/ 1 u1) 1))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
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(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #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 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
(* -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 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 u1))
(fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/16 binary32) #s(literal -1/8 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(sqrt (/ 1 (pow u1 3)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(/ (+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 3))))) u1)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1)
(/ (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* -1/8 (sqrt (/ 1 (pow u1 5)))))) u1)
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)
(/ (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 9))))))) u1)
(/.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)
(* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) u1))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) (neg.f32 u1))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal 1/8 binary32)))) (neg.f32 u1))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 9)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal 1/8 binary32))))) (neg.f32 u1))

rewrite354.0ms (2.5%)

Memory
26.3MiB live, 425.6MiB allocated
Rules
4 844×lower-/.f64
4 832×lower-/.f32
3 848×lower-*.f64
3 830×lower-*.f32
3 666×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052270
085269
1278251
21763246
08209246
Stop Event
iter limit
node limit
iter limit
Counts
23 → 785
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 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)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
Outputs
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.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 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.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 (/.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) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.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 #s(literal 1 binary32) u1)) (*.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 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.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 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (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 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.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 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.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 #s(literal 1 binary32) (-.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 (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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.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))) (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)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.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))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #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 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.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)))
(exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32) (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32))))
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(*.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (pow.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal -1 binary32)))

eval181.0ms (1.3%)

Memory
-3.0MiB live, 266.7MiB allocated
Compiler

Compiled 33 430 to 3 263 computations (90.2% saved)

prune244.0ms (1.7%)

Memory
18.4MiB live, 493.1MiB allocated
Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New1 284331 317
Fresh163652
Picked415
Done022
Total1 304721 376
Accuracy
99.7%
Counts
1 376 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
97.7%
(*.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))))
96.2%
(*.f32 (pow.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.7%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 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 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
88.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
80.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.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))))
76.6%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
69.0%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
83.3%
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
(*.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
86.8%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
92.8%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
15.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
90.7%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))))
90.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
90.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%
(*.f32 (sqrt.f32 (-.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.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)))
80.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
80.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.7%
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
66.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
65.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
61.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.6%
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
88.1%
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
73.9%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))
74.4%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
76.6%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
74.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))))))
74.2%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
69.0%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
75.7%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
65.2%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
20.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
20.8%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.2%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* u2 (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))))
88.0%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)))))
88.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Compiler

Compiled 3 301 to 2 062 computations (37.5% saved)

simplify251.0ms (1.8%)

Memory
-0.4MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
cost-diff0
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
cost-diff0
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
cost-diff0
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
cost-diff0
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
cost-diff0
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
cost-diff0
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
cost-diff0
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
cost-diff0
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
cost-diff192
(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
Rules
4 320×lower-fma.f64
4 308×lower-fma.f32
1 810×lower-*.f64
1 782×lower-*.f32
1 130×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065536
0105524
1186524
2377519
3900519
41980519
53188519
64409519
75957519
86264519
96368519
106368519
116678519
126814519
136814519
146814519
06814516
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
u1
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
#s(literal -1 binary32)
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
u2
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (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))
u2
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))
u2
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 u2 u2)
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))
(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (*.f32 u1 (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))
u1
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
u2
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (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 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
u2
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (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)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (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))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 u2 (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
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))
(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))
(*.f32 u2 u2)
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(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))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 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 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize232.0ms (1.6%)

Memory
-28.1MiB live, 308.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.31087875976844204
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.36328125
(*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
accuracy4.96997240339724
#s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1))
accuracy0.28515625
(*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
accuracy0.296875
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))
accuracy0.35384750976844204
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
accuracy1.8503455034229106
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
accuracy0.20703125
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
accuracy0.2513275390737681
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
accuracy0.3203125
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
accuracy3.480164160150703
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
accuracy0.2513275390737681
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
accuracy0.30078125
(*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
accuracy3.480164160150703
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
accuracy25.259403967440957
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
accuracy0.25
(*.f32 u1 (*.f32 u1 u1))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.35384750976844204
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.44140625
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
Samples
104.0ms243×0valid
22.0ms13×1valid
Compiler

Compiled 471 to 53 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 32.0ms (31.1% of total)
adjust: 15.0ms (14.6% of total)
ival-div: 15.0ms (14.6% of total)
const: 14.0ms (13.6% of total)
ival-add: 12.0ms (11.6% of total)
ival-sqrt: 9.0ms (8.7% of total)
ival-sin: 3.0ms (2.9% of total)
ival-sub: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
21.8MiB live, 59.4MiB allocated
Counts
25 → 408
Calls
Call 1
Inputs
#<alt (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))>
#<alt (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))>
#<alt (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt #s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))>
#<alt (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))>
#<alt #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))>
#<alt (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))>
#<alt #s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))>
#<alt (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))>
#<alt (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))>
#<alt (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))>
#<alt (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (sqrt.f32 u1)>
#<alt (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))>
#<alt #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1))>
#<alt (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (*.f32 u1 (*.f32 u1 u1))>
#<alt (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))>
#<alt #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))>
#<alt (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))>
#<alt (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))>
Outputs
#<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 (- (pow u1 3) 1)>
#<alt (- (pow u1 3) 1)>
#<alt (- (pow u1 3) 1)>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (pow u1 3)>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt -1>
#<alt (- (* -1 u1) 1)>
#<alt (- (* u1 (- (* -1 u1) 1)) 1)>
#<alt (- (* u1 (- (* -1 u1) 1)) 1)>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))>
#<alt (* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))>
#<alt (* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))>
#<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)) (* 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)))) (- (pow u1 3) 1))) (* u2 (sqrt -1))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1)))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1)))))))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -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))>
#<alt (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))>
#<alt (+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))>
#<alt (+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))))))>
#<alt (* 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)))))))>
#<alt (* 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)))))))))))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))>
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#<alt (* 314159265359/50000000000 u2)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))>
#<alt (* (sqrt u1) u2)>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) u2)) (* (sqrt u1) u2))>
#<alt (+ (* (sqrt u1) u2) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) u2)) (* 1/2 (* (sqrt (/ 1 u1)) u2)))))>
#<alt (+ (* (sqrt u1) u2) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -1/2 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) u2)))))))>
#<alt u2>
#<alt (+ u2 (* 1/2 (/ u2 u1)))>
#<alt (+ u2 (+ (* -5/8 (/ u2 (pow u1 2))) (* 1/2 (/ u2 u1))))>
#<alt (+ u2 (+ (* -5/8 (/ u2 (pow u1 2))) (+ (* -3/16 (/ u2 (pow u1 3))) (* 1/2 (/ u2 u1)))))>
#<alt u2>
#<alt (+ u2 (* 1/2 (/ u2 u1)))>
#<alt (+ u2 (* -1 (/ (+ (* -1/2 u2) (* 5/8 (/ u2 u1))) u1)))>
#<alt (+ u2 (* -1 (/ (+ (* -1 (/ (+ (* -5/8 u2) (* -3/16 (/ u2 u1))) u1)) (* -1/2 u2)) u1)))>
#<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 (* 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 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 7))>
#<alt (* (pow u2 7) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 7) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))>
#<alt (* (pow u2 7) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 7))>
#<alt (* -1 (* (pow u2 7) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 7) (- (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 7) (- (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))>
#<alt (* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))>
#<alt (* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
Calls

102 calls:

TimeVariablePointExpression
6.0ms
u2
@inf
(* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 (+ (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
1.0ms
u2
@inf
(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ u1 (+ (* u1 u1) 1)))))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ u1 (+ (* u1 u1) 1)))))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@-inf
(* (sqrt (/ u1 (/ (+ -1 (* u1 (* u1 u1))) (neg (+ u1 (+ (* u1 u1) 1)))))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))

simplify388.0ms (2.8%)

Memory
1.3MiB live, 594.9MiB allocated
Algorithm
egg-herbie
Rules
12 892×lower-fma.f64
12 892×lower-fma.f32
8 352×lower-*.f64
8 352×lower-*.f32
3 934×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227686
122206659
273216653
083176109
Stop Event
iter limit
node limit
Counts
408 → 405
Calls
Call 1
Inputs
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
(- (pow u1 3) 1)
(- (pow u1 3) 1)
(- (pow u1 3) 1)
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(pow u1 3)
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
-1
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(* (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)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 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))))
(+ (* 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)))))
(* (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)))) (- (pow u1 3) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -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))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (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 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) 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)) (+ 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)))
(* 314159265359/50000000000 (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (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 (* (+ 1 (* 1/4 (/ 1 u1))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -5/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -5/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* -3/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 3))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 5/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* -1/2 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1 (* 1/4 (/ 1 u1))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (+ (* -5/8 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (pow u1 2))) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1)))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (+ (* -5/8 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (pow u1 2))) (+ (* -3/16 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (pow u1 3))) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))))))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* -1 (/ (+ (* -1/2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* 5/8 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))) u1))))
(+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* -3/16 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) u1))) u1)) (* -1/2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))))
(* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 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))
(* (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))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (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 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) 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)) (+ 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)))
(* 314159265359/50000000000 (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2))))))))
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(sqrt u1)
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(sqrt -1)
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(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
1
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1
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(pow (sqrt -1) 2)
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(sqrt u1)
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(sqrt (/ 1 u1))
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(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))
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(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))
1
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(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
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(pow u1 3)
(pow u1 3)
(pow u1 3)
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(* (sqrt u1) u2)
(+ (* 1/2 (* (sqrt (pow u1 3)) u2)) (* (sqrt u1) u2))
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(+ (* (sqrt u1) u2) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -1/2 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) u2)))))))
u2
(+ u2 (* 1/2 (/ u2 u1)))
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(+ u2 (+ (* -5/8 (/ u2 (pow u1 2))) (+ (* -3/16 (/ u2 (pow u1 3))) (* 1/2 (/ u2 u1)))))
u2
(+ u2 (* 1/2 (/ u2 u1)))
(+ u2 (* -1 (/ (+ (* -1/2 u2) (* 5/8 (/ u2 u1))) u1)))
(+ u2 (* -1 (/ (+ (* -1 (/ (+ (* -5/8 u2) (* -3/16 (/ u2 u1))) u1)) (* -1/2 u2)) 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 (* (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))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 7))
(* (pow u2 7) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 7) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(* (pow u2 7) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 7))
(* -1 (* (pow u2 7) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 7) (- (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 7) (- (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Outputs
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))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) 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)) (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 #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 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)))
-1
#s(literal -1 binary32)
(- (pow u1 3) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(- (pow u1 3) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(- (pow u1 3) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(+.f32 #s(literal -1 binary32) (neg.f32 u1))
(- (* u1 (- (* -1 u1) 1)) 1)
(fma.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) #s(literal -1 binary32))
(- (* u1 (- (* -1 u1) 1)) 1)
(fma.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) #s(literal -1 binary32))
(* -1 (pow u1 2))
(*.f32 u1 (neg.f32 u1))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (*.f32 u1 u1))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (*.f32 u1 u1))
(* -1 (pow u1 2))
(*.f32 u1 (neg.f32 u1))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (*.f32 u1 u1))
(* (pow u1 2) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (*.f32 u1 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 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32))))
(+ (* (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)) (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 (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 -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)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* 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)) (*.f32 u1 u1)) #s(literal 3/8 binary32)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* 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 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1))) #s(literal 5/16 binary32)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal 3/8 binary32)) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (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))
(+ (* -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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* u2 (sqrt -1))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1)))))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.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 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.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)))) (- (pow u1 3) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))) (* (pow u2 2) (sqrt -1))))))))
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314159265359/50000000000
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
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(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (pow u1 2)))))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(* (sqrt u1) u2)
(*.f32 (sqrt.f32 u1) u2)
(+ (* 1/2 (* (sqrt (pow u1 3)) u2)) (* (sqrt u1) u2))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) u2) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) u2)) (* 1/2 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 u1 u1) (*.f32 u2 (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) u2))
(+ (* (sqrt u1) u2) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -1/2 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (/.f32 #s(literal 1/4 binary32) u1) u2) (*.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) u2))) (*.f32 (sqrt.f32 u1) u2))
u2
(+ u2 (* 1/2 (/ u2 u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2)
(+ u2 (+ (* -5/8 (/ u2 (pow u1 2))) (* 1/2 (/ u2 u1))))
(fma.f32 u2 (/.f32 #s(literal -5/8 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))
(+ u2 (+ (* -5/8 (/ u2 (pow u1 2))) (+ (* -3/16 (/ u2 (pow u1 3))) (* 1/2 (/ u2 u1)))))
(+.f32 u2 (fma.f32 u2 (/.f32 #s(literal -5/8 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -3/16 binary32) (/.f32 u2 (*.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 u2 #s(literal 1/2 binary32)) u1))))
u2
(+ u2 (* 1/2 (/ u2 u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2)
(+ u2 (* -1 (/ (+ (* -1/2 u2) (* 5/8 (/ u2 u1))) u1)))
(-.f32 u2 (/.f32 (fma.f32 u2 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 5/8 binary32) u2) u1)) u1))
(+ u2 (* -1 (/ (+ (* -1 (/ (+ (* -5/8 u2) (* -3/16 (/ u2 u1))) u1)) (* -1/2 u2)) u1)))
(-.f32 u2 (/.f32 (fma.f32 u2 #s(literal -1/2 binary32) (/.f32 (fma.f32 u2 #s(literal -5/8 binary32) (*.f32 #s(literal -3/16 binary32) (/.f32 u2 u1))) (neg.f32 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 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 u2 (*.f32 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))
(* 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 (*.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 u2 (*.f32 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)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 7))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 7 binary32)))
(* (pow u2 7) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 7 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 7) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(*.f32 (pow.f32 u2 #s(literal 7 binary32)) (-.f32 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))
(* (pow u2 7) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(*.f32 (pow.f32 u2 #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))) (-.f32 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 7))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 7 binary32)))
(* -1 (* (pow u2 7) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 u2 #s(literal 7 binary32)) (neg.f32 (+.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -1 (* (pow u2 7) (- (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (neg.f32 (pow.f32 u2 #s(literal 7 binary32))))
(* -1 (* (pow u2 7) (- (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))))))
(*.f32 (+.f32 (+.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))) (neg.f32 (pow.f32 u2 #s(literal 7 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (*.f32 u2 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 u2 u2))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 u2 u2))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (neg.f32 (*.f32 u2 (*.f32 u2 u2))))

rewrite426.0ms (3%)

Memory
38.3MiB live, 375.9MiB allocated
Rules
4 206×lower-/.f64
4 198×lower-/.f32
3 890×lower-*.f64
3 862×lower-*.f32
3 748×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065386
0105372
1345340
22340340
08427340
Stop Event
iter limit
node limit
iter limit
Counts
25 → 512
Calls
Call 1
Inputs
(/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
Outputs
(neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 u1)) (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.f32 (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))))
(fma.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 u1) (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 u1) #s(literal -1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 u1 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 u1)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 u1)) (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 u1)) (-.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 u1)) (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (-.f32 (*.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))) (*.f32 (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))))))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 u1) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 u1) #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) #s(literal -1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))) (/.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (/.f32 u1 (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (/.f32 u1 (fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 u1 u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (/.f32 u1 (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 u1 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal -1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 (*.f32 u1 u1)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal -1 binary32))
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(/.f32 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)))) (fma.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (-.f32 (*.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/147656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/147656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2))))) (neg.f32 (fma.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (-.f32 (*.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (neg.f32 (-.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (neg.f32 (*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/147656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/147656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (fma.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 u2)))) (fma.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (*.f32 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2)

eval166.0ms (1.2%)

Memory
-21.1MiB live, 220.2MiB allocated
Compiler

Compiled 28 950 to 2 943 computations (89.8% saved)

prune318.0ms (2.3%)

Memory
31.2MiB live, 459.7MiB allocated
Pruning

85 alts after pruning (77 fresh and 8 done)

PrunedKeptTotal
New979281 007
Fresh154964
Picked055
Done033
Total994851 079
Accuracy
99.7%
Counts
1 079 → 85
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
80.1%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
92.9%
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
97.7%
(*.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))))
96.2%
(*.f32 (pow.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.7%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 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 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
92.9%
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (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)) (*.f32 u2 (*.f32 u2 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 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)))))))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 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)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
93.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
88.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
80.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.3%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
81.1%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
97.9%
(*.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))))
92.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
92.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) (sqrt.f32 u1))))
92.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
76.6%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
69.0%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
97.9%
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
83.3%
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.8%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
15.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
93.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
90.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.0%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%
(*.f32 (sqrt.f32 (-.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.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)))
80.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
80.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.7%
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.6%
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
81.9%
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
68.1%
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
70.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
66.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
61.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.6%
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
88.1%
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
74.4%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
15.8%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
75.6%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
69.0%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
74.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))))))
74.2%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
69.0%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
65.2%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
20.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
20.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
20.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
4.9%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
20.3%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
20.8%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.1%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
74.2%
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* u2 (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))))
88.0%
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
93.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)))))
88.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Compiler

Compiled 5 039 to 1 736 computations (65.5% saved)

regimes378.0ms (2.7%)

Memory
1.0MiB live, 736.6MiB allocated
Counts
145 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
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(*.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)))
(*.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)))
(*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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)))
(*.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)))
(/.f32 #s(literal 1 binary32) (/.f32 (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 #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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.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 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.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 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 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) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))))) (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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.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 (pow.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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 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) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.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 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.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 (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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

54.0ms
cosTheta_i
47.0ms
u2
46.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
46.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
45.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.3%1cosTheta_i
98.3%1u1
98.3%1u2
98.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes338.0ms (2.4%)

Memory
-0.6MiB live, 696.2MiB allocated
Counts
135 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
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(*.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)))
(*.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)))
(/.f32 #s(literal 1 binary32) (/.f32 (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 #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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.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 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.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 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 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) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))))) (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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.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 (pow.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)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

59.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
43.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
39.0ms
u2
39.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
38.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
98.3%1u1
98.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1cosTheta_i
98.3%1u2
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes291.0ms (2.1%)

Memory
16.9MiB live, 447.0MiB allocated
Counts
127 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) (sqrt.f32 u1))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 u2 (*.f32 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 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) 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 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 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)))
(/.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 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.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)))
(*.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)))
(*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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)))
(*.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)))
(/.f32 #s(literal 1 binary32) (/.f32 (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 #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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.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 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.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)))
Outputs
(*.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)))
Calls

8 calls:

38.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
37.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
36.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
35.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
35.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
98.3%1u1
98.3%1u2
98.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.3%1cosTheta_i
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes287.0ms (2%)

Memory
-20.5MiB live, 451.4MiB allocated
Counts
111 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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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(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) 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 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(approx (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 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)))
(/.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 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ (* (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.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)))
(*.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)))
(*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (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:

38.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
37.0ms
u2
36.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
36.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
33.0ms
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)

regimes222.0ms (1.6%)

Memory
-17.9MiB live, 395.8MiB allocated
Counts
94 → 2
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
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#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
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(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 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)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) (sqrt.f32 u1))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 u2 (*.f32 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 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

29.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
28.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
93.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.2%1cosTheta_i
97.0%2u1
97.6%2u2
97.0%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.0%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes56.0ms (0.4%)

Memory
26.7MiB live, 103.3MiB allocated
Counts
92 → 2
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
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(*.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 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)))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (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)) (*.f32 u2 (*.f32 u2 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 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)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) (sqrt.f32 u1))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 u2 (*.f32 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 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

2 calls:

26.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms
u2
Results
AccuracySegmentsBranch
97.0%2u2
97.0%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes295.0ms (2.1%)

Memory
-17.2MiB live, 262.3MiB allocated
Counts
88 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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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(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (- 1 u1) u1) -1/2) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
Calls

6 calls:

113.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
77.0ms
u1
27.0ms
u2
25.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
24.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.2%1cosTheta_i
93.2%1u1
93.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.2%1u2
93.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes247.0ms (1.7%)

Memory
35.8MiB live, 271.4MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* u2 (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (sqrt (/ u1 (/ (- 1 (* u1 (* u1 (* u1 u1)))) (* (+ u1 1) (+ (* u1 u1) 1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 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 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 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)))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (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)) (*.f32 u2 (*.f32 u2 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 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)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) #s(approx (/ (sin (* 314159265359/50000000000 u2)) (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1))))) (*.f32 u2 (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (/ 1 (sqrt (* (+ u1 1) (+ (* u1 u1) 1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1)) #s(literal 1 binary32)))) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
Calls

8 calls:

94.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
22.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
22.0ms
u1
22.0ms
u2
21.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%1u1
93.0%1u2
93.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.0%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes146.0ms (1%)

Memory
-26.1MiB live, 133.9MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
Calls

8 calls:

29.0ms
u2
28.0ms
cosTheta_i
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
93.0%1u2
93.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.0%1cosTheta_i
93.0%1u1
93.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes175.0ms (1.2%)

Memory
9.5MiB live, 160.7MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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

8 calls:

40.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
30.0ms
u2
27.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
26.0ms
cosTheta_i
12.0ms
u1
Results
AccuracySegmentsBranch
93.0%1cosTheta_i
93.0%1u1
93.0%1u2
93.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes154.0ms (1.1%)

Memory
2.2MiB live, 126.3MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (+ (* (* u1 u1) (neg (* u1 u1))) 1))) (sqrt.f32 u1)) (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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

8 calls:

40.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
30.0ms
u2
20.0ms
u1
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.0%1u1
91.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.0%1cosTheta_i
91.0%1u2
91.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes138.0ms (1%)

Memory
-19.5MiB live, 118.3MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Calls

8 calls:

39.0ms
u1
34.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
88.1%1u1
88.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.1%1u2
88.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.1%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes81.0ms (0.6%)

Memory
-14.6MiB live, 105.4MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))))
Calls

8 calls:

26.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
u2
10.0ms
u1
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
84.4%2u2
84.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.1%1cosTheta_i
83.4%2u1
80.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
83.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
84.4%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes33.0ms (0.2%)

Memory
27.4MiB live, 66.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

6 calls:

7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
u2
Results
AccuracySegmentsBranch
80.1%1u1
80.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.1%1u2
80.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes38.0ms (0.3%)

Memory
1.8MiB live, 78.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(approx (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 u2 u1) u2))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
cosTheta_i
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
73.0%1u2
73.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
73.0%1cosTheta_i
73.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
73.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%1u1
73.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
73.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes36.0ms (0.3%)

Memory
-5.2MiB live, 76.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (* u2 (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))))) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 #s(approx (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms
u2
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
69.9%1cosTheta_i
69.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.9%1u2
69.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
69.9%1u1
69.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
69.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
69.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes23.0ms (0.2%)

Memory
17.2MiB live, 56.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms
u1
Results
AccuracySegmentsBranch
61.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.4%1cosTheta_i
61.4%1u1
61.4%1u2
61.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes22.0ms (0.2%)

Memory
-32.7MiB live, 50.1MiB allocated
Accuracy

Total -5.0b remaining (-19.7%)

Threshold costs -5b (-19.7%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
Outputs
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
Calls

8 calls:

4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
20.3%1u2
20.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
20.3%1cosTheta_i
20.3%1u1
20.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
20.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5541150569915771
0.6058058142662048
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9635982513427734
0.9838288426399231
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03041829541325569
0.03383796289563179
Compiler

Compiled 17 to 17 computations (0% saved)

simplify29.0ms (0.2%)

Memory
-5.7MiB live, 33.7MiB allocated
Algorithm
egg-herbie
Rules
148×unsub-neg_binary32
108×*-commutative_binary32
78×neg-mul-1_binary32
34×distribute-neg-out_binary32
28×sub-neg_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0128571
1180571
2196570
3219570
4249570
5299570
6334570
7353570
8364570
9417570
10465570
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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)))
(*.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 5033165/8388608 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 2055209/2097152 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/268435456 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.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)) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(*.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)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (-.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 (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 5033165/8388608 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 5033165/8388608 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 2055209/2097152 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 2055209/2097152 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 u2 (*.f32 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/268435456 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (* (sqrt (/ u1 (+ (* u1 u1) 1))) (sqrt (+ u1 1))) (sin (* 314159265359/50000000000 u2))) (*.f32 u2 #s(approx (* (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)) #s(approx (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32)))))

soundness2.3s (16.3%)

Memory
15.9MiB live, 1 091.5MiB allocated
Rules
17 094×lower-fma.f64
17 094×lower-fma.f32
12 892×lower-fma.f64
12 892×lower-fma.f32
11 920×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065386
0105372
1345340
22340340
08427340
02021002
1602910
21736837
35177784
47592783
08372754
01032
01632
14632
223732
3195332
0969232
07397373
122676433
273466425
081535993
045319
080346
1276245
22131245
08409245
06295717
119445142
259904636
082034376
07227686
122206659
273216653
083176109
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 804 to 364 computations (54.7% saved)

preprocess150.0ms (1.1%)

Memory
-3.0MiB live, 152.5MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 138 to 450 computations (60.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...