Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.4MiB live, 0.2MiB allocated

analyze342.0ms (3.5%)

Memory
17.0MiB live, 687.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.9s (19.5%)

Memory
46.8MiB live, 3 013.9MiB allocated
Samples
1.5s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 476.0ms (39% of total)
ival-sin: 160.0ms (13.1% of total)
ival-<=: 159.0ms (13% of total)
ival-mult: 154.0ms (12.6% of total)
ival-sqrt: 75.0ms (6.1% of total)
ival-div: 74.0ms (6.1% of total)
ival-sub: 48.0ms (3.9% of total)
ival-and: 36.0ms (2.9% of total)
ival->: 30.0ms (2.5% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain107.0ms (1.1%)

Memory
13.9MiB live, 150.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
53.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
const: 12.0ms (32% of total)
ival-mult: 6.0ms (16% of total)
ival-sin: 6.0ms (16% of total)
ival-div: 4.0ms (10.7% of total)
ival-sub: 4.0ms (10.7% of total)
ival-sqrt: 3.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess55.0ms (0.6%)

Memory
-13.9MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
161103
286103
3116103
4223103
5514103
61325103
73156103
86003103
97954103
01011
01611
12011
02011
Stop Event
iter limit
saturated
iter limit
node 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)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 11 to 11 computations (0% saved)

simplify3.0ms (0%)

Memory
2.9MiB live, 2.9MiB 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12036
02036
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)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize32.0ms (0.3%)

Memory
3.9MiB live, 48.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34765625
(*.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: 16.0ms
ival-mult: 4.0ms (25.3% of total)
ival-sin: 3.0ms (19% of total)
const: 3.0ms (19% of total)
ival-div: 2.0ms (12.6% of total)
ival-sqrt: 2.0ms (12.6% of total)
ival-sub: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
29.6MiB live, 29.6MiB allocated
Counts
6 → 46
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
(* (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)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 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)))
(+ (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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 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))))))))))
(* 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))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
Calls

9 calls:

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

simplify189.0ms (2%)

Memory
-33.9MiB live, 183.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202825
1707735
22810641
08637610
Stop Event
iter limit
node limit
Counts
46 → 45
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)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 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)))
(+ (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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 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))))))))))
(* 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))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 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 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -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 (/.f32 #s(literal -1/2 binary32) u1) (/.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 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
(+ (* -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 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(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 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (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 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) 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 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(+ (* 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 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (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 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.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)))
(+.f32 (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal -3/8 binary32))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (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)) u1) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))))
(+ (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 (-.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (-.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal -3/8 binary32)))) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* 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)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* 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 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

rewrite134.0ms (1.4%)

Memory
10.5MiB live, 155.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01632
14232
217232
3119532
0940732
Stop Event
iter limit
node limit
iter limit
Counts
6 → 444
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
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sin.f32 (*.f32 u2 #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))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (neg.f32 u1) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 (/.f32 (*.f32 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (*.f32 (neg.f32 u1) u1) (*.f32 u1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (*.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (neg.f32 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1)))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 u1) u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (neg.f32 u1) (/.f32 (*.f32 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(neg.f32 (-.f32 #s(literal -1 binary32) u1))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

eval53.0ms (0.6%)

Memory
3.8MiB live, 91.9MiB allocated
Compiler

Compiled 14 540 to 2 245 computations (84.6% saved)

prune29.0ms (0.3%)

Memory
-44.9MiB live, 56.4MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New46425489
Fresh000
Picked011
Done000
Total46426490
Accuracy
99.5%
Counts
490 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
72.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.4%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
83.0%
(*.f32 (/.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 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
98.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.2%
(*.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #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)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
73.5%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
59.2%
(*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.5%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 901 to 751 computations (16.6% saved)

simplify111.0ms (1.2%)

Memory
49.3MiB live, 131.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff2
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff0
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
cost-diff0
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(neg.f32 u1)
cost-diff0
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff3
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
cost-diff0
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038293
062286
184286
2127284
3242280
4707280
54107280
08788280
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 1/4 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 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.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)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 u1)
u1
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.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
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.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
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(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)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 u1)
u1
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize122.0ms (1.3%)

Memory
-33.5MiB live, 158.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy1.1294021281607454
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.27734375
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33431625976844204
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy5.7591747025395685
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3639450195368841
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
Samples
64.0ms248×0valid
11.0ms5exit
Compiler

Compiled 252 to 31 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 12.0ms (23% of total)
adjust: 6.0ms (11.5% of total)
ival-div: 6.0ms (11.5% of total)
ival-pow: 5.0ms (9.6% of total)
const: 4.0ms (7.7% of total)
ival-exp: 3.0ms (5.7% of total)
ival-sub: 3.0ms (5.7% of total)
ival-sqrt: 3.0ms (5.7% of total)
ival-sin: 3.0ms (5.7% of total)
ival-log: 3.0ms (5.7% of total)
ival-pow2: 3.0ms (5.7% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series209.0ms (2.2%)

Memory
-4.7MiB live, 294.0MiB allocated
Counts
21 → 82
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 u1)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
Outputs
(* (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)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* -1 u1)
1
(+ 1 (* -1 u1))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ 1 (* 2 (/ 1 u1)))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
(+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* u1 (- (/ 1 u1) 1))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (sqrt -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)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* 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))))))))))
(* 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))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
48.0ms
cosTheta_i
@0
((* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (pow (/ u1 (- 1 u1)) 2) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1))
37.0ms
cosTheta_i
@inf
((* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (pow (/ u1 (- 1 u1)) 2) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1))
28.0ms
u2
@inf
((* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (pow (/ u1 (- 1 u1)) 2) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1))
25.0ms
u1
@inf
((* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (pow (/ u1 (- 1 u1)) 2) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1))
17.0ms
u2
@-inf
((* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (pow (/ u1 (- 1 u1)) 2) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1))

simplify178.0ms (1.8%)

Memory
14.1MiB live, 207.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03891547
113791333
254781302
081581227
Stop Event
iter limit
node limit
Counts
82 → 81
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)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* -1 u1)
1
(+ 1 (* -1 u1))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ 1 (* 2 (/ 1 u1)))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
(+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* u1 (- (/ 1 u1) 1))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (sqrt -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)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* 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))))))))))
(* 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))))
(* (sqrt (/ u1 (- 1 u1))) (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 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (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 (*.f32 #s(literal 1/2 binary32) u1) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 (fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) u1 #s(literal 3 binary32)) u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 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 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* (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))))

rewrite225.0ms (2.3%)

Memory
0.7MiB live, 230.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038205
062186
1142186
2595186
35301186
08516181
Stop Event
iter limit
node limit
iter limit
Counts
21 → 992
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 u1)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
Outputs
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 u1)) (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (+.f32 (pow.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (-.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (pow.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)))) (-.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (*.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (-.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (-.f32 (*.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(-.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (log.f32 u1) (log1p.f32 u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(-.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(fma.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(fma.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
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eval158.0ms (1.6%)

Memory
-0.2MiB live, 141.0MiB allocated
Compiler

Compiled 26 926 to 3 613 computations (86.6% saved)

prune99.0ms (1%)

Memory
5.0MiB live, 137.6MiB allocated
Pruning

57 alts after pruning (52 fresh and 5 done)

PrunedKeptTotal
New92039959
Fresh71320
Picked145
Done011
Total92857985
Accuracy
99.8%
Counts
985 → 57
Alt Table
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StatusAccuracyProgram
52.9%
(/.f32 (-.f32 (*.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (-.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.6%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
72.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.7%
(*.f32 (/.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 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.2%
(*.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (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)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
73.5%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
72.3%
(*.f32 (exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) (log.f32 (exp.f32 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.3%
(*.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (log.f32 (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0%
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
63.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
19.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 4 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 2 703 to 2 017 computations (25.4% saved)

simplify158.0ms (1.6%)

Memory
20.4MiB live, 120.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))
cost-diff0
(sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32)))
cost-diff0
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
cost-diff0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff6
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(*.f32 (sqrt.f32 u1) u2)
cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
cost-diff0
#s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
cost-diff0
(/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
cost-diff0
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
052394
082394
1115394
2178394
3239394
4344394
5491394
6650394
7806394
81143394
91773394
102568394
113198394
124236394
134781378
145625370
08606370
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
(/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
u1
#s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1)
(-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 u1 #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (/.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
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(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 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 1/8 binary32)
#s(literal 8 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))))))
(/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)))))
u1
#s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
#s(approx (- 1 u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1)
(-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 u1 #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (/.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))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 1/8 binary32)
#s(literal 8 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize188.0ms (1.9%)

Memory
14.4MiB live, 199.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33431625976844204
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy1.50039152689889
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))
accuracy5.7591747025395685
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy24.91301873743379
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.1875
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3522262695368841
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy10.963548175656689
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.26953125
(*.f32 (sqrt.f32 u1) u2)
accuracy0.36166000976844204
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy5.7591747025395685
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
accuracy7.08222328743311
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.19207001953688402
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
153.0ms248×0valid
9.0ms5exit
Compiler

Compiled 278 to 41 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-pow: 48.0ms (34.4% of total)
ival-mult: 47.0ms (33.6% of total)
ival-sqrt: 19.0ms (13.6% of total)
ival-div: 7.0ms (5% of total)
ival-sub: 5.0ms (3.6% of total)
const: 4.0ms (2.9% of total)
ival-sin: 3.0ms (2.1% of total)
ival-pow2: 3.0ms (2.1% of total)
adjust: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series208.0ms (2.2%)

Memory
-27.0MiB live, 213.2MiB allocated
Counts
20 → 92
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
(/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
#s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
Outputs
(* (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)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2)))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* -314159265359/160000000000 (/ u2 (pow u1 3))) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(+ (* 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)))
(+ (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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2)))
(+ (* 314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -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)) 1/2) u1)) (pow (sqrt -1) 2))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(* 314159265359/50000000000 (* (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))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- 1 (pow u1 2)))) 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))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
48.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (* 314159265359/50000000000 u2)) (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (pow (pow (/ u1 (- 1 u1)) 1/8) 8) (/ (* (- (pow u1 -2) 1) u1) (- 1 (/ -1 u1))))
39.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (* 314159265359/50000000000 u2)) (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (pow (pow (/ u1 (- 1 u1)) 1/8) 8) (/ (* (- (pow u1 -2) 1) u1) (- 1 (/ -1 u1))))
23.0ms
cosTheta_i
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (* 314159265359/50000000000 u2)) (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (pow (pow (/ u1 (- 1 u1)) 1/8) 8) (/ (* (- (pow u1 -2) 1) u1) (- 1 (/ -1 u1))))
21.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (* 314159265359/50000000000 u2)) (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (pow (pow (/ u1 (- 1 u1)) 1/8) 8) (/ (* (- (pow u1 -2) 1) u1) (- 1 (/ -1 u1))))
21.0ms
cosTheta_i
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (* 314159265359/50000000000 u2)) (sqrt (pow (pow (/ u1 (- 1 u1)) 1/8) 8)) (pow (pow (/ u1 (- 1 u1)) 1/8) 8) (/ (* (- (pow u1 -2) 1) u1) (- 1 (/ -1 u1))))

simplify194.0ms (2%)

Memory
30.7MiB live, 132.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03941709
113881447
256761424
081591339
Stop Event
iter limit
node limit
Counts
92 → 91
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)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* (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)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2)))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* -314159265359/160000000000 (/ u2 (pow u1 3))) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(+ (* 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)))
(+ (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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2)))
(+ (* 314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -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)) 1/2) u1)) (pow (sqrt -1) 2))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(* 314159265359/50000000000 (* (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))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- 1 (pow u1 2)))) 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))))
(* (sqrt (/ u1 (- 1 u1))) (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 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(* (sqrt u1) u2)
(*.f32 (sqrt.f32 u1) u2)
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1)
(+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 u2 (fma.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) u2 u2) (sqrt.f32 u1) (*.f32 (neg.f32 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) u1)) (*.f32 u1 u1)))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -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 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) 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)))))
(+.f32 (/.f32 (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 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 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (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 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) 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 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
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(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2)))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (fma.f32 #s(literal -314159265359/100000000000 binary32) u2 (/.f32 (*.f32 #s(literal 942477796077/400000000000 binary32) u2) u1)) u1))
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(fma.f32 (/.f32 u2 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -314159265359/160000000000 binary32) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (fma.f32 #s(literal -314159265359/100000000000 binary32) u2 (/.f32 (*.f32 #s(literal 942477796077/400000000000 binary32) u2) u1)) u1)))
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(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal -314159265359/100000000000 binary32)) (/.f32 (fma.f32 #s(literal 314159265359/160000000000 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u2) (*.f32 #s(literal 942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2))) u1)) (neg.f32 u1)))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
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(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
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(* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2)))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(+ (* 314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (/.f32 u2 u1) #s(literal 314159265359/100000000000 binary32)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (fma.f32 #s(literal -314159265359/100000000000 binary32) u2 (/.f32 (*.f32 #s(literal 942477796077/400000000000 binary32) u2) u1)) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (-.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) u2) (/.f32 (fma.f32 #s(literal -942477796077/400000000000 binary32) u2 (/.f32 (*.f32 #s(literal 314159265359/160000000000 binary32) u2) u1)) u1)) (neg.f32 u1)))
(pow (sqrt -1) 2)
#s(literal -1 binary32)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(+ (* -1 (/ (- (* -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)) 1/2) u1)) (pow (sqrt -1) 2))
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32)) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(-.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(-.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.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))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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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(* 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 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- 1 (pow u1 2)))) u2))
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(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* (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))))

rewrite169.0ms (1.8%)

Memory
7.7MiB live, 142.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052302
082307
1214307
21070229
09045229
Stop Event
iter limit
node limit
iter limit
Counts
20 → 667
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
(/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
#s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))))
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))))
(/.f32 (neg.f32 u1) (neg.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 u1) #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
#s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))
(neg.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 u2 (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) u2))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (fabs.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (fabs.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32))) #s(literal 8 binary32)) (pow.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32))) #s(literal 8 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (-.f32 (*.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))) (*.f32 (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))))) (-.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (-.f32 (*.f32 (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))) (*.f32 (cosh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (fma.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 u1))) (neg.f32 (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
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(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -6 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -4 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -4 binary32)) #s(literal 1 binary32)) u1) (*.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -6 binary32)) #s(literal 1 binary32)) u1) (*.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -4 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) u1) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)))
(fma.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))))))
(+.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))))
(+.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))))))
(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) u1)) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) u1)))
(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 #s(literal -1 binary32) u1)))
(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)))
(neg.f32 (neg.f32 (*.f32 u1 (expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32))))))

eval93.0ms (1%)

Memory
-28.1MiB live, 77.1MiB allocated
Compiler

Compiled 16 427 to 2 449 computations (85.1% saved)

prune90.0ms (0.9%)

Memory
-8.1MiB live, 84.5MiB allocated
Pruning

63 alts after pruning (54 fresh and 9 done)

PrunedKeptTotal
New47317490
Fresh103747
Picked145
Done055
Total48463547
Accuracy
99.8%
Counts
547 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(/.f32 (-.f32 (*.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (-.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.6%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
72.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.3%
(*.f32 (/.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 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (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)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
73.5%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
72.3%
(*.f32 (exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) (log.f32 (exp.f32 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.3%
(*.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (log.f32 (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0%
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
19.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 4 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
79.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
65.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
19.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
19.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
Compiler

Compiled 3 040 to 2 210 computations (27.3% saved)

simplify152.0ms (1.6%)

Memory
3.2MiB live, 143.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 u1 #s(literal 1/4 binary32))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
cost-diff5
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
cost-diff1
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
cost-diff10
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
cost-diff0
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff0
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff5
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053401
083390
1139378
2292367
3705317
42638299
57697299
08553296
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
(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 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 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 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.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)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (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))
u1
#s(literal 1 binary32)
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(pow.f32 u1 #s(literal 1/4 binary32))
u1
#s(literal 1/4 binary32)
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
Outputs
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 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 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 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 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #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)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(neg.f32 u1)
(*.f32 (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))
u1
#s(literal 1 binary32)
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(pow.f32 u1 #s(literal 1/4 binary32))
u1
#s(literal 1/4 binary32)
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)

localize173.0ms (1.8%)

Memory
7.2MiB live, 245.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.34994125976844204
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.36166000976844204
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy5.843094185884827
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy7.7269790605037185
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.3678512695368841
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy3.8308796146842687
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy8.016769545656905
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
accuracy11.633002567193262
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.26953125
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34212875976844204
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy5.843094185884827
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.33203125
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy11.633002567193262
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy30.77341206458713
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
accuracy0.231305934065628
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3046875
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34765625
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
130.0ms256×0valid
Compiler

Compiled 324 to 47 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 45.0ms (40.1% of total)
ival-div: 28.0ms (25% of total)
const: 13.0ms (11.6% of total)
ival-sqrt: 10.0ms (8.9% of total)
ival-pow: 5.0ms (4.5% of total)
ival-sub: 4.0ms (3.6% of total)
ival-add: 3.0ms (2.7% of total)
ival-sin: 3.0ms (2.7% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series216.0ms (2.2%)

Memory
17.5MiB live, 214.5MiB allocated
Counts
25 → 114
Calls
Call 1
Inputs
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(pow.f32 u1 #s(literal 1/4 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 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)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(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))))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(- (* -1 u1) 1)
(pow (* 1 u1) 1/4)
(* -1 u1)
(* u1 (- (* -1 u1) 1))
1
(+ 1 (pow u1 2))
(* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))))
(* 314159265359/50000000000 (* (pow (* 1 u1) 1/4) u2))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (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)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -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)))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2)))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* -314159265359/160000000000 (/ u2 (pow u1 3))) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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)))
(+ (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)))
(* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2)))
(+ (* 314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -942477796077/400000000000 (/ u2 u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -314159265359/160000000000 (/ u2 u1)) (* 942477796077/400000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 (* u2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 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))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- 1 (pow u1 2)))) 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))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 u1) 1))) (* u2 (sqrt -1))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
Calls

9 calls:

TimeVariablePointExpression
60.0ms
u1
@0
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1))) (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (pow u1 1/4) (* (pow u1 1/4) (* u2 314159265359/50000000000))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (pow u1 1/4) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (* (pow u1 1/4) (* u2 314159265359/50000000000)))
54.0ms
u1
@-inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1))) (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (pow u1 1/4) (* (pow u1 1/4) (* u2 314159265359/50000000000))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (pow u1 1/4) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (* (pow u1 1/4) (* u2 314159265359/50000000000)))
52.0ms
u2
@inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1))) (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (pow u1 1/4) (* (pow u1 1/4) (* u2 314159265359/50000000000))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (pow u1 1/4) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (* (pow u1 1/4) (* u2 314159265359/50000000000)))
23.0ms
u2
@0
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1))) (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (pow u1 1/4) (* (pow u1 1/4) (* u2 314159265359/50000000000))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (pow u1 1/4) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (* (pow u1 1/4) (* u2 314159265359/50000000000)))
12.0ms
u2
@-inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1))) (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (+ (* -1 u1) -1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (pow u1 1/4) (* (pow u1 1/4) (* u2 314159265359/50000000000))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (pow u1 1/4) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (* (pow u1 1/4) (* u2 314159265359/50000000000)))

simplify169.0ms (1.8%)

Memory
5.1MiB live, 289.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04702280
116911983
279211981
080081859
Stop Event
iter limit
node limit
Counts
114 → 113
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 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)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (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)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(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))))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(- (* -1 u1) 1)
(pow (* 1 u1) 1/4)
(* -1 u1)
(* u1 (- (* -1 u1) 1))
1
(+ 1 (pow u1 2))
(* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))))
(* 314159265359/50000000000 (* (pow (* 1 u1) 1/4) u2))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (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)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -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)))))
(* 314159265359/50000000000 u2)
(+ (* -314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 u2))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2)))
(+ (* -314159265359/100000000000 (/ u2 u1)) (+ (* -314159265359/160000000000 (/ u2 (pow u1 3))) (+ (* 942477796077/400000000000 (/ u2 (pow u1 2))) (* 314159265359/50000000000 u2))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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)))
(+ (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)))
(* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2)))
(+ (* 314159265359/100000000000 (/ u2 u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 u2) (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1))) u1)) (* 314159265359/50000000000 (* u2 (pow (sqrt -1) 2))))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -942477796077/400000000000 (/ u2 u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -314159265359/160000000000 (/ u2 u1)) (* 942477796077/400000000000 u2)) u1)) (* 314159265359/100000000000 u2)) u1)) (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 (* u2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 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))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- 1 (pow u1 2)))) 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))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 u1) 1))) (* u2 (sqrt -1))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.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)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (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)))))))
(-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 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 (pow.f32 u1 #s(literal 3 binary32))) (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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* -314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 u2 (fma.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* -314159265359/100000000000 (* (sqrt u1) (* u2 (+ 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) (-.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) u1) u2 u2) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) u1 (*.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1)
(- (* -1 u1) 1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(pow (* 1 u1) 1/4)
(pow.f32 u1 #s(literal 1/4 binary32))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1 u1) 1))
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2)))))
(fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1)) u2 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))))
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(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (fma.f32 #s(literal 314159265359/100000000000 binary32) u2 (/.f32 (fma.f32 #s(literal -314159265359/160000000000 binary32) (/.f32 u2 u1) (*.f32 #s(literal 942477796077/400000000000 binary32) u2)) (neg.f32 u1))) (neg.f32 u1)))
(* 314159265359/50000000000 (* u2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))))
(*.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1/4 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
(* 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))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 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 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (- 1 (pow u1 2)))) u2))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.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 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 u1) 1))) (* u2 (sqrt -1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (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))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

rewrite195.0ms (2%)

Memory
-40.7MiB live, 295.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053324
083297
1236281
21298238
010776236
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 565
Calls
Call 1
Inputs
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(pow.f32 u1 #s(literal 1/4 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
Outputs
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(*.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(*.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))
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(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 u2 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 u1 #s(literal 3/8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (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 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (*.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2))
(/.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1)))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (hypot.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))
(/.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (hypot.f32 (sqrt.f32 u1) u1)) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 u2 (neg.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (neg.f32 (sin.f32 (acos.f32 u1))) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 u2 (*.f32 (sin.f32 (acos.f32 u1)) (*.f32 (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))) #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (acos.f32 u1)) (*.f32 (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sinh.f32 (acosh.f32 u1))) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (sin.f32 (acos.f32 u1)) (*.f32 (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sinh.f32 (acosh.f32 u1))) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sinh.f32 (acosh.f32 u1))) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal -314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 u1 #s(literal 1/8 binary32))) (pow.f32 u1 #s(literal 1/16 binary32))) (pow.f32 u1 #s(literal 1/16 binary32)))
(*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (pow.f32 u1 #s(literal 1/8 binary32)))) (neg.f32 (pow.f32 u1 #s(literal 1/8 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/8 binary32))) (*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 u1 #s(literal 1/8 binary32))) (pow.f32 u1 #s(literal 1/8 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/16 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/16 binary32)) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/8 binary32))) (*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/8 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 u2 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) u2))
(fma.f32 (cosh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sinh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (cosh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32))) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sinh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32)))))
(+.f32 (*.f32 (cosh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sinh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (cosh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sinh.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32)))))

eval222.0ms (2.3%)

Memory
58.1MiB live, 372.4MiB allocated
Compiler

Compiled 49 149 to 6 446 computations (86.9% saved)

prune120.0ms (1.2%)

Memory
4.1MiB live, 248.6MiB allocated
Pruning

70 alts after pruning (58 fresh and 12 done)

PrunedKeptTotal
New1 323171 340
Fresh84149
Picked145
Done189
Total1 333701 403
Accuracy
99.8%
Counts
1 403 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.6%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
72.8%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.0%
(*.f32 (/.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 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.2%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 u1 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
87.3%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* 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)))
80.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
73.5%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
36.8%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 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) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
72.3%
(*.f32 (exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) (log.f32 (exp.f32 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.0%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.3%
(*.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (log.f32 (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.6%
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0%
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
80.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) u2) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))))
80.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (pow.f32 u1 #s(literal 1/16 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/16 binary32)) (pow.f32 u1 #s(literal 3/8 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
19.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
79.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
65.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
65.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
19.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
19.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
Compiler

Compiled 4 436 to 1 861 computations (58% saved)

regimes763.0ms (7.9%)

Memory
-127.5MiB live, 628.9MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
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(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) (log.f32 (exp.f32 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (-.f32 (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
Outputs
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

465.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
54.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
48.0ms
u1
43.0ms
u2
38.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
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 32 to 44 computations (-37.5% saved)

regimes251.0ms (2.6%)

Memory
11.0MiB live, 491.3MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.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 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 u1) (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 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.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 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.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 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 u1 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 8 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 4 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (log.f32 (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

65.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
28.0ms
u2
27.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
25.0ms
cosTheta_i
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 32 to 44 computations (-37.5% saved)

regimes162.0ms (1.7%)

Memory
33.2MiB live, 310.7MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.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 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 u1) (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 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 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 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

22.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
21.0ms
cosTheta_i
20.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.0ms
u2
Results
AccuracySegmentsBranch
98.2%1cosTheta_i
98.2%1u1
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%1u2
98.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes138.0ms (1.4%)

Memory
1.2MiB live, 236.3MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
18.0ms
cosTheta_i
17.0ms
u2
Results
AccuracySegmentsBranch
80.9%1cosTheta_i
88.3%2u1
90.9%2u2
84.5%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.3%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.9%3(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes190.0ms (2%)

Memory
-16.0MiB live, 231.1MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (pow (/ u1 (- 1 u1)) 2) 1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

7 calls:

58.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
49.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms
u2
16.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
u1
Results
AccuracySegmentsBranch
80.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.9%1u1
80.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.9%1u2
80.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes167.0ms (1.7%)

Memory
2.9MiB live, 139.6MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

40.0ms
cosTheta_i
38.0ms
u2
32.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
80.9%1u2
80.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%1cosTheta_i
80.9%1u1
80.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes124.0ms (1.3%)

Memory
13.7MiB live, 111.1MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #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 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

51.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
u2
9.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
80.9%1u1
80.9%1u2
80.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.9%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes108.0ms (1.1%)

Memory
-3.1MiB live, 89.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ (neg (* (+ (* u1 u1) 1) (/ u1 (+ (* u1 u1) 1)))) (+ (* -1 u1) -1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

54.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
65.2%1u2
65.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
65.2%1cosTheta_i
65.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%1u1
65.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
65.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
65.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes29.0ms (0.3%)

Memory
-2.6MiB live, 50.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
Calls

8 calls:

15.0ms
cosTheta_i
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(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))
Results
AccuracySegmentsBranch
65.2%1u1
65.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
65.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
65.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
65.2%1cosTheta_i
65.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.2%1u2
65.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes34.0ms (0.4%)

Memory
-13.3MiB live, 34.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

23.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
cosTheta_i
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
19.2%1u1
19.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.2%1cosTheta_i
19.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
19.2%1u2
19.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes10.0ms (0.1%)

Memory
27.5MiB live, 27.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
4.5%1u1
4.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.5%1u2
4.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.5%1cosTheta_i
4.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004590443801134825
0.0051309154368937016
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify34.0ms (0.3%)

Memory
-4.3MiB live, 42.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070310
196310
2144310
3179310
4206310
5225310
6253310
7285310
8291310
9293310
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))

soundness1.3s (13%)

Memory
-13.9MiB live, 501.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03941709
113881447
256761424
081591339
0202825
1707735
22810641
08637610
03891547
113791333
254781302
081581227
052302
082307
1214307
21070229
09045229
038205
062186
1142186
2595186
35301186
08516181
01032
01632
14232
217232
3119532
0940732
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 524 to 263 computations (49.8% saved)

preprocess94.0ms (1%)

Memory
-0.8MiB live, 91.3MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 754 to 280 computations (62.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...