Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze279.0ms (2.5%)

Memory
-20.9MiB live, 381.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample2.4s (20.9%)

Memory
-97.6MiB live, 1 930.8MiB allocated
Samples
1.8s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
const: 798.0ms (54.6% of total)
ival-<=: 167.0ms (11.4% of total)
ival-sin: 133.0ms (9.1% of total)
ival-mult: 126.0ms (8.6% of total)
ival-div: 70.0ms (4.8% of total)
ival-sqrt: 55.0ms (3.8% of total)
ival-sub: 44.0ms (3% of total)
ival-and: 33.0ms (2.3% of total)
ival->: 26.0ms (1.8% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain132.0ms (1.2%)

Memory
-16.7MiB live, 230.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.999973714351654 0.00018568082305137068 0.5079403519630432)(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+02
-0254
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+002
-00254
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
51.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
const: 12.0ms (33.8% of total)
ival-sin: 7.0ms (19.7% of total)
ival-mult: 6.0ms (16.9% of total)
ival-div: 4.0ms (11.3% of total)
ival-sub: 3.0ms (8.4% of total)
ival-sqrt: 3.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess50.0ms (0.4%)

Memory
11.3MiB live, 48.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178101
2132101
324399
448499
590799
6119599
7133499
8141699
9146399
10147999
11148399
01011
01611
12211
22611
33111
43811
54811
66311
78611
810811
911611
1011811
011811
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(*.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)

simplify5.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize38.0ms (0.3%)

Memory
-39.8MiB live, 82.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.22259260231507558
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.28515625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3359375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
30.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.8% of total)
ival-mult: 5.0ms (22% of total)
const: 4.0ms (17.6% of total)
ival-sin: 3.0ms (13.2% of total)
ival-sqrt: 2.0ms (8.8% of total)
ival-sub: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB 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)))
2.0ms
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
@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)))

simplify209.0ms (1.8%)

Memory
17.3MiB live, 293.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202815
1602725
21761652
35215599
47627598
08026569
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 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))))) (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (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 (*.f32 u1 u1) #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))) (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))))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 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)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.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 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 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)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (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 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (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 (/ (+ 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))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (-.f32 (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 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #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 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (*.f32 u1 u1)))
(+ (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)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (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)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.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 (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))))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 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)))
(* 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 (fma.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))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #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))

rewrite210.0ms (1.9%)

Memory
-57.9MiB live, 255.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01632
14632
223732
3195432
0973432
Stop Event
iter limit
node limit
iter limit
Counts
6 → 521
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 u1 #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 u1) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.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 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (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 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (*.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 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #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))))
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(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (neg.f32 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))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

eval65.0ms (0.6%)

Memory
8.7MiB live, 123.8MiB allocated
Compiler

Compiled 14 550 to 2 560 computations (82.4% saved)

prune49.0ms (0.4%)

Memory
-8.6MiB live, 74.8MiB allocated
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New53627563
Fresh000
Picked011
Done000
Total53628564
Accuracy
99.5%
Counts
564 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.8%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.3%
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.2%
(*.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)))
98.0%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
30.3%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.5%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
97.6%
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.4%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
79.4%
(*.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)))
36.8%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
36.3%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
34.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #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 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
35.5%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#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 963 to 805 computations (16.4% saved)

simplify121.0ms (1.1%)

Memory
7.1MiB live, 163.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
036250
059248
194248
2138248
3214248
4369242
5850242
62808242
76412242
08275242
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(sqrt.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #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 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(pow.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 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 (/.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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.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)
(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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(sqrt.f32 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

localize346.0ms (3%)

Memory
3.3MiB live, 205.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22259260231507558
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.28515625
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3359375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34212875976844204
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
accuracy0.2421875
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy0.29296875
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.3326950195368841
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.3359375
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.22259260231507558
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.24609375
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.28515625
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3359375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.1875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3359375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33822250976844204
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy6.333729297192363
#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)))
accuracy0.22259260231507558
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.28515625
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3359375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.5029487793053261
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Samples
280.0ms256×0valid
Compiler

Compiled 241 to 33 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-sin: 221.0ms (84% of total)
ival-mult: 14.0ms (5.3% of total)
ival-pow: 9.0ms (3.4% of total)
ival-div: 8.0ms (3% of total)
ival-sqrt: 5.0ms (1.9% of total)
const: 4.0ms (1.5% of total)
ival-sub: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series359.0ms (3.2%)

Memory
18.8MiB live, 650.3MiB allocated
Counts
22 → 130
Calls
Call 1
Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #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 u1 (-.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Outputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ -1 u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 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)
(+ (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 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(+ 1 (* -1 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ 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 (/ 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)))))
(* 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)
(- (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)))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) 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 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ (* 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 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 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))))))))))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* 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))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
Calls

9 calls:

TimeVariablePointExpression
74.0ms
cosTheta_i
@0
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (- 1 u1) (* (* (pow (- 1 u1) -1/2) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (pow (- 1 u1) -1/2) (sqrt u1)) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))
57.0ms
u2
@inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (- 1 u1) (* (* (pow (- 1 u1) -1/2) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (pow (- 1 u1) -1/2) (sqrt u1)) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))
51.0ms
u2
@0
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (- 1 u1) (* (* (pow (- 1 u1) -1/2) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (pow (- 1 u1) -1/2) (sqrt u1)) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))
32.0ms
u2
@-inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (- 1 u1) (* (* (pow (- 1 u1) -1/2) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (pow (- 1 u1) -1/2) (sqrt u1)) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))
31.0ms
u1
@inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (- 1 u1) (* (* (pow (- 1 u1) -1/2) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (* (pow (- 1 u1) -1/2) (sqrt u1)) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))

simplify260.0ms (2.3%)

Memory
-2.5MiB live, 235.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06062785
118292533
256922525
084812390
Stop Event
iter limit
node limit
Counts
130 → 129
Calls
Call 1
Inputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ -1 u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 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)
(+ (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 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(+ 1 (* -1 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ 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 (/ 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)))))
(* 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)
(- (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)))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) 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 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ (* 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 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 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))))))))))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* 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))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
Outputs
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) (fma.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.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 #s(literal -1 binary32))) (sqrt.f32 u1) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (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 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (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))))
(* 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 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u2 u2) (sqrt.f32 u1) (*.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 #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 #s(literal 1/2 binary32) (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 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) u1 #s(literal -1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (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))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) u2) u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #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))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite148.0ms (1.3%)

Memory
24.4MiB live, 253.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036187
059166
1166161
2886161
08127161
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 323
Calls
Call 1
Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #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 u1 (-.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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) u1) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1))) (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (pow.f32 u1 #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) u1) (/.f32 #s(literal -1 binary32) u1))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 u1 #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (neg.f32 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) u1) #s(literal -1 binary32)) u1)
(/.f32 (*.f32 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
(/.f32 (*.f32 (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 u1 #s(literal -2 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (pow.f32 u1 #s(literal -2 binary32))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 u1 #s(literal -2 binary32))) (pow.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 u1 #s(literal -2 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 u1 #s(literal -2 binary32))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal -1 binary32)) (neg.f32 u1))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1)) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #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 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal 1 binary32)) u1)
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))
(/.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(/.f32 (exp.f32 (log.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1))) (exp.f32 (log.f32 u1)))
(/.f32 (exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) (exp.f32 (log.f32 (*.f32 u1 u1))))
(/.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1))
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (*.f32 u1 u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) u1) (neg.f32 u1))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (*.f32 (neg.f32 u1) u1))
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(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (neg.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))

eval335.0ms (3%)

Memory
5.9MiB live, 390.9MiB allocated
Compiler

Compiled 43 632 to 6 009 computations (86.2% saved)

prune104.0ms (0.9%)

Memory
12.5MiB live, 210.4MiB allocated
Pruning

63 alts after pruning (61 fresh and 2 done)

PrunedKeptTotal
New1 660521 712
Fresh13922
Picked415
Done011
Total1 677631 740
Accuracy
99.8%
Counts
1 740 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.9%
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
97.8%
(/.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
97.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.1%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
79.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
72.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
79.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
97.4%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
70.2%
(*.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)))
97.8%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
42.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
97.5%
(*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 u1)))
97.5%
(*.f32 (*.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.5%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
79.4%
(*.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)))
36.8%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.4%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.2%
#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))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32)))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 u1)))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#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)))
79.3%
#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))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
57.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#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)))
79.3%
#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 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#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)))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
-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)))))
0.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 u2 u1) (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))))))
61.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 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)))))
61.6%
#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 2 899 to 2 306 computations (20.5% saved)

simplify192.0ms (1.7%)

Memory
-24.9MiB live, 219.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff1
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff5
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
cost-diff11
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (*.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 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff6
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
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
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049410
084365
1141365
2235362
3363362
4803296
52556296
64981296
76316296
87242296
97779296
08003295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#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)
(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 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 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))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))))
(/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))
u1
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#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)
(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 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)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 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 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))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #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 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
(-.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(neg.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize231.0ms (2%)

Memory
3.7MiB live, 319.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.21478010231507558
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.26953125
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.38671875
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.36328125
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
accuracy5.976466068152185
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy29.347925077610732
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
accuracy0.29916000976844204
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
accuracy0.32259750976844204
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.32421875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy5.976466068152185
#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 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.25390625
(*.f32 (sqrt.f32 u1) u2)
accuracy0.35384750976844204
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy5.976466068152185
#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))))
accuracy7.828863465576604
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.1328125
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy0.21478010231507558
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.30859375
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.32421875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
Samples
145.0ms244×0valid
13.0ms12×5exit
Compiler

Compiled 351 to 46 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-div: 64.0ms (53.5% of total)
ival-mult: 21.0ms (17.5% of total)
ival-sqrt: 9.0ms (7.5% of total)
ival-sin: 9.0ms (7.5% of total)
ival-sub: 5.0ms (4.2% of total)
const: 4.0ms (3.3% of total)
adjust: 3.0ms (2.5% of total)
ival-neg: 2.0ms (1.7% of total)
ival-add: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
10.7MiB live, 53.4MiB allocated
Counts
24 → 111
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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 u1 #s(literal -1 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 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(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 (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(* 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
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1 u1))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* (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 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* 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 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(- (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 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(+ (* 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)))))
(- (/ 1 u1) 1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (* -1 (/ (+ (* -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))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* 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))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
u2
@0
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) 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))) (- u1 -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))) (neg (* (/ u1 (- u1 -1)) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))))) (* 314159265359/50000000000 u2)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (* 314159265359/50000000000 u2) (/ 1 (- u1 -1)) (sin (* 314159265359/50000000000 u2)))
5.0ms
u2
@inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) 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))) (- u1 -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))) (neg (* (/ u1 (- u1 -1)) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))))) (* 314159265359/50000000000 u2)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (* 314159265359/50000000000 u2) (/ 1 (- u1 -1)) (sin (* 314159265359/50000000000 u2)))
5.0ms
u2
@-inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) 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))) (- u1 -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))) (neg (* (/ u1 (- u1 -1)) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))))) (* 314159265359/50000000000 u2)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (* 314159265359/50000000000 u2) (/ 1 (- u1 -1)) (sin (* 314159265359/50000000000 u2)))
4.0ms
u1
@-inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) 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))) (- u1 -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))) (neg (* (/ u1 (- u1 -1)) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))))) (* 314159265359/50000000000 u2)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (* 314159265359/50000000000 u2) (/ 1 (- u1 -1)) (sin (* 314159265359/50000000000 u2)))
3.0ms
u1
@inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) 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))) (- u1 -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (* 314159265359/50000000000 u2)) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))) (neg (* (/ u1 (- u1 -1)) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (+ (* 1 (/ 1 (- u1 -1))) (neg (* (/ u1 (- u1 -1)) u1))))) (* 314159265359/50000000000 u2)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (* 314159265359/50000000000 u2) (/ 1 (- u1 -1)) (sin (* 314159265359/50000000000 u2)))

simplify201.0ms (1.8%)

Memory
-21.2MiB live, 214.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04522108
113691925
242831688
083561593
Stop Event
iter limit
node limit
Counts
111 → 110
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 (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(* 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
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1 u1))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* (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 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* 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 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(- (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 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(+ (* 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)))))
(- (/ 1 u1) 1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (* -1 (/ (+ (* -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))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* 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))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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 #s(literal 1/2 binary32) (*.f32 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 (*.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 (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 u1) #s(literal -1/16 binary32) #s(literal -1/2 binary32)))) (*.f32 u1 u1) (sqrt.f32 u1)) 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)))))
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(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
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(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (*.f32 u2 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -314159265359/100000000000 binary32)))) u1))
(+ (* -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))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (/.f32 (*.f32 u2 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 942477796077/400000000000 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 314159265359/160000000000 binary32)))) u1)) u1))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 (sqrt.f32 u1) u2)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) #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 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(-.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(-.f32 (/.f32 (-.f32 u1 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) u1) u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) u1)) u1)
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (*.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 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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)))) (* (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 (fma.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))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (*.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) (fma.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 (*.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 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)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.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)))))))))
(*.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

rewrite168.0ms (1.5%)

Memory
4.6MiB live, 281.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049280
084262
1270206
21915204
08952202
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 506
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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 u1 #s(literal -1 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 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
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(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 (neg.f32 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (exp.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (neg.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)))) (neg.f32 (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -3 binary32)))))
(/.f32 (neg.f32 (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (exp.f32 (neg.f32 (log1p.f32 u1)))) #s(literal -1 binary32))
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(/.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))
(/.f32 (fma.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32))) (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -3 binary32))))
(/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(-.f32 (/.f32 (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(-.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (/.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
(-.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (+.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)))) (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -3 binary32)))) (/.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -3 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (neg.f32 (neg.f32 u1)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) u1 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 u1 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/2 binary32))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval276.0ms (2.4%)

Memory
16.4MiB live, 239.5MiB allocated
Compiler

Compiled 41 913 to 6 625 computations (84.2% saved)

prune133.0ms (1.2%)

Memory
16.8MiB live, 230.6MiB allocated
Pruning

82 alts after pruning (76 fresh and 6 done)

PrunedKeptTotal
New1 220281 248
Fresh84856
Picked145
Done022
Total1 229821 311
Accuracy
99.8%
Counts
1 311 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.9%
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
97.8%
(/.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
39.1%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
98.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 u1 u1))))
98.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))
98.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
72.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
79.4%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
79.4%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
79.4%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
97.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.1%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
72.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
79.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
97.4%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
70.2%
(*.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)))
42.5%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
98.1%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
97.5%
(*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 u1)))
97.5%
(*.f32 (*.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
32.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal -1 binary32))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
79.4%
(*.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)))
37.8%
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
20.4%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.2%
#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 u1 #s(literal -1 binary32)))))
79.2%
#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))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
59.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
57.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 u1)))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#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)))
79.3%
#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))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
56.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#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)))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#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 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#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)))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
-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)))))
0.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 u2 u1) (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))))))
61.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 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)))))
61.6%
#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))))
61.7%
#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)))
Compiler

Compiled 3 759 to 2 969 computations (21% saved)

simplify197.0ms (1.7%)

Memory
-5.6MiB live, 183.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
cost-diff0
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
cost-diff0
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
cost-diff0
(*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
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))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(*.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)
cost-diff0
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
cost-diff0
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
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) #s(literal 314159265359/50000000000 binary32)) u2)))
cost-diff0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
cost-diff2
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)
cost-diff4
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
053375
086372
1148372
2266362
3469362
4920362
53286350
08047350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
u1
(-.f32 u1 #s(literal -1 binary32))
#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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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)
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
u1
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(-.f32 u1 #s(literal -1 binary32))
u1
#s(literal -1 binary32)
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
Outputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
u1
(-.f32 u1 #s(literal -1 binary32))
#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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)
(*.f32 (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 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)
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
(-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
u1
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(-.f32 u1 #s(literal -1 binary32))
u1
#s(literal -1 binary32)
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)

localize144.0ms (1.3%)

Memory
-7.4MiB live, 186.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 u1 #s(literal -1 binary32))
accuracy0.0
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.0
(sqrt.f32 (fma.f32 u1 u1 u1))
accuracy0.0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.0
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
accuracy0.0
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
accuracy0.0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.0
(*.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)))
accuracy0.0
(*.f32 u2 u2)
accuracy0.0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.0
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
accuracy0.0
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy0.0
(sqrt.f32 u1)
accuracy0.0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy0.0
#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)))
accuracy0.0
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.0
(*.f32 u1 u1)
accuracy0.0
(sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32))))
accuracy0.0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
Samples
114.0ms256×0invalid
Compiler

Compiled 330 to 47 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 47.0ms (49.3% of total)
ival-sqrt: 15.0ms (15.7% of total)
ival-div: 12.0ms (12.6% of total)
const: 8.0ms (8.4% of total)
ival-sin: 6.0ms (6.3% of total)
ival-add: 3.0ms (3.1% of total)
ival-sub: 3.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (0.9%)

Memory
7.1MiB live, 99.1MiB allocated
Counts
28 → 187
Calls
Call 1
Inputs
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
(sin.f32 (*.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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 u1 u1)
(sqrt.f32 u1)
(*.f32 u2 u2)
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (fma.f32 u1 u1 u1))
(-.f32 u1 #s(literal -1 binary32))
Outputs
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 (pow u1 2))) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (sqrt u1))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (pow u1 2) 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))))))))
(+ (* -1 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* u1 (+ (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* -1/2 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1)))))))))) u1)
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(pow u1 2)
(* (sqrt u1) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow u1 5)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 3) (+ (* -1/8 (* (sqrt (pow u1 3)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* (pow u1 3) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt u1) (/ 1 (pow (sqrt -1) 5)))))))))
(sqrt -1)
(+ (sqrt -1) (* -1/2 (/ u1 (sqrt -1))))
(+ (sqrt -1) (* u1 (- (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* u1 (- (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
-1
(- (/ 1 u1) 1)
(* u1 (- (/ 1 (pow u1 2)) 1))
(* (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)))))
(* 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))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(- (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))))
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 (pow u1 2))))
(* 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)))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))))))))
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2)))
(- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2)))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (* -1/8 (sqrt (/ 1 (pow u1 9)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* -1/16 (sqrt (/ 1 (pow u1 13))))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (+ 1 (* 1/4 u1)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(* u1 (+ 1 (/ 1 u1)))
(* -1 (* u1 (- 1 (/ 1 (pow u1 2)))))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 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))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (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 (* (pow u1 3) (- (/ 1 (pow u1 2)) 1)))
(* 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))
(* -1 (sin (* 314159265359/50000000000 u2)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* 1/8 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2))))) u1)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* 1/16 (sin (* 314159265359/50000000000 u2))) (+ (* 1/8 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2)))))) u1)) (+ (* 1/8 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2)))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2))))) u1)))
(* -1 (+ 1 (* 1/2 (/ 1 u1))))
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 u1))) u1)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 u1))) u1))) u1)) 1)
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (pow u1 3))) (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/2 (sqrt u1)) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1)))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
(* 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))) 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))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))
(* 314159265359/50000000000 (* (/ u2 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))))))
(pow u2 2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (/ (sin (* 314159265359/50000000000 u2)) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
Calls

9 calls:

TimeVariablePointExpression
52.0ms
u2
@inf
((/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/ (- 1 (* u1 u1)) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (sin (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* u1 (+ (* u1 u1) -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (* u2 314159265359/50000000000) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1))) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1))) (* u1 u1) (sqrt u1) (* u2 u2) (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1))) (* 314159265359/50000000000 u2) (sqrt (+ (* u1 u1) u1)) (- u1 -1))
21.0ms
u2
@0
((/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/ (- 1 (* u1 u1)) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (sin (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* u1 (+ (* u1 u1) -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (* u2 314159265359/50000000000) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1))) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1))) (* u1 u1) (sqrt u1) (* u2 u2) (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1))) (* 314159265359/50000000000 u2) (sqrt (+ (* u1 u1) u1)) (- u1 -1))
8.0ms
u1
@-inf
((/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/ (- 1 (* u1 u1)) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (sin (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* u1 (+ (* u1 u1) -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (* u2 314159265359/50000000000) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1))) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1))) (* u1 u1) (sqrt u1) (* u2 u2) (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1))) (* 314159265359/50000000000 u2) (sqrt (+ (* u1 u1) u1)) (- u1 -1))
7.0ms
u1
@inf
((/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/ (- 1 (* u1 u1)) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (sin (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* u1 (+ (* u1 u1) -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (* u2 314159265359/50000000000) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1))) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1))) (* u1 u1) (sqrt u1) (* u2 u2) (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1))) (* 314159265359/50000000000 u2) (sqrt (+ (* u1 u1) u1)) (- u1 -1))
5.0ms
u1
@0
((/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/ (- 1 (* u1 u1)) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (sin (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (sqrt (/ u1 (- 1 u1))) (* u1 (+ (* u1 u1) -1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (* u2 314159265359/50000000000) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1))) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1))) (* u1 u1) (sqrt u1) (* u2 u2) (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1))) (* 314159265359/50000000000 u2) (sqrt (+ (* u1 u1) u1)) (- u1 -1))

simplify200.0ms (1.8%)

Memory
10.3MiB live, 316.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08554488
127003863
084603611
Stop Event
iter limit
node limit
Counts
187 → 186
Calls
Call 1
Inputs
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 (pow u1 2))) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (sqrt u1))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (pow u1 2) 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))))))))
(+ (* -1 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* u1 (+ (* -1 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* -1/2 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1)))))))))) u1)
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(pow u1 2)
(* (sqrt u1) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow u1 5)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 3) (+ (* -1/8 (* (sqrt (pow u1 3)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* (pow u1 3) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt u1) (/ 1 (pow (sqrt -1) 5)))))))))
(sqrt -1)
(+ (sqrt -1) (* -1/2 (/ u1 (sqrt -1))))
(+ (sqrt -1) (* u1 (- (* 1/2 (/ (* u1 (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* u1 (- (* u1 (+ (* 1/2 (/ (* u1 (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
-1
(- (/ 1 u1) 1)
(* u1 (- (/ 1 (pow u1 2)) 1))
(* (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)))))
(* 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))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(- (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))))
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 (pow u1 2))))
(* 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)))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))))))))
(+ 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2)))
(- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2)))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (* -1/8 (sqrt (/ 1 (pow u1 9)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* -1/16 (sqrt (/ 1 (pow u1 13))))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (+ 1 (* 1/4 u1)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(* u1 (+ 1 (/ 1 u1)))
(* -1 (* u1 (- 1 (/ 1 (pow u1 2)))))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 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))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (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 (* (pow u1 3) (- (/ 1 (pow u1 2)) 1)))
(* 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))
(* -1 (sin (* 314159265359/50000000000 u2)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* 1/8 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2))))) u1)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* 1/16 (sin (* 314159265359/50000000000 u2))) (+ (* 1/8 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2)))))) u1)) (+ (* 1/8 (sin (* 314159265359/50000000000 u2))) (* 1/2 (sin (* 314159265359/50000000000 u2)))))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2))))) u1)))
(* -1 (+ 1 (* 1/2 (/ 1 u1))))
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 u1))) u1)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 u1))) u1))) u1)) 1)
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (pow u1 3))) (* -1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/2 (sqrt u1)) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1)))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
(* 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))) 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))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))
(* 314159265359/50000000000 (* (/ u2 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))))))
(pow u2 2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (/ (sin (* 314159265359/50000000000 u2)) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
Outputs
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 (pow u1 2))) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) 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 (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 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (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 u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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)))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 u1 u1) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
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(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 u1))) u2))
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(* 314159265359/50000000000 (* (/ u2 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))
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(* u2 (+ (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))))
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(* u2 (+ (* 314159265359/50000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (/ (pow u2 2) (+ 1 u1)) (sqrt (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (/ 1 (+ 1 u1)) (sqrt (+ u1 (pow u1 2)))))))))))
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(pow u2 2)
(*.f32 u2 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
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(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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rewrite198.0ms (1.7%)

Memory
-2.3MiB live, 222.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053306
086300
1281268
21849268
08253268
Stop Event
iter limit
node limit
iter limit
Counts
28 → 939
Calls
Call 1
Inputs
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
(sin.f32 (*.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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 u1 #s(literal -1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 u1 u1)
(sqrt.f32 u1)
(*.f32 u2 u2)
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (fma.f32 u1 u1 u1))
(-.f32 u1 #s(literal -1 binary32))
Outputs
(expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) u1)
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (-.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 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) u1) (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) u1) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) u1) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1)))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))) (neg.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (neg.f32 u1))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 u1 (*.f32 u1 u1))) (*.f32 (neg.f32 u1) u1))
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(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))))) (sqrt.f32 (neg.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (sqrt.f32 (-.f32 (*.f32 u1 u1) u1)))
(/.f32 (hypot.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (hypot.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) u1)) (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (hypot.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(pow.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (fma.f32 u1 u1 u1) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 u1 u1 u1)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) u1))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (neg.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) u1)) (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 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 u1 #s(literal -1 binary32))
(fma.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(fma.f32 (/.f32 (neg.f32 u1) u1) (/.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 (neg.f32 u1) u1) #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 u1)) u1 #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)

eval186.0ms (1.6%)

Memory
28.3MiB live, 310.7MiB allocated
Compiler

Compiled 38 532 to 5 426 computations (85.9% saved)

prune97.0ms (0.9%)

Memory
9.6MiB live, 247.9MiB allocated
Pruning

87 alts after pruning (79 fresh and 8 done)

PrunedKeptTotal
New1 206291 235
Fresh215071
Picked325
Done066
Total1 230871 317
Accuracy
99.8%
Counts
1 317 → 87
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
97.7%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
21.5%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) #s(approx (sqrt (+ (* u1 u1) u1)) (+.f32 #s(literal 1/2 binary32) u1))))
98.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
40.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(approx (- u1 -1) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
98.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
98.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (-.f32 u1 #s(literal -1 binary32)))))
98.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))
98.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
72.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/.f32 #s(literal 1 binary32) u1))))
79.4%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
59.1%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
79.4%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.1%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
79.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
97.4%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
70.2%
(*.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)))
42.5%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
97.5%
(*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 u1)))
31.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal -1 binary32))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
39.5%
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))))
72.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
59.1%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
59.2%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
20.4%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.9%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 314159265359/50000000000 binary32))) u2))
88.0%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
87.9%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
79.2%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
79.3%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
79.3%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
5.3%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.3%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
59.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
60.2%
#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 u1 #s(literal -1 binary32)))))
79.2%
#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))))
56.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
59.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
56.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
56.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 u1)))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#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)))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
57.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
#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)))
60.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#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 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
14.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
19.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
61.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
61.6%
#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))))
61.7%
#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)))
Compiler

Compiled 5 518 to 2 353 computations (57.4% saved)

regimes332.0ms (2.9%)

Memory
-1.2MiB live, 520.7MiB allocated
Counts
137 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
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#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (sin.f32 (*.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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) #s(approx (sqrt (+ (* u1 u1) u1)) (+.f32 #s(literal 1/2 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(approx (- u1 -1) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 (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 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 u1 (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 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.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 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 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 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal -1 binary32))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.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 (-.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 u1 u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)) (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 -1/4 binary32)) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (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 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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)))
Outputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
Calls

8 calls:

76.0ms
cosTheta_i
42.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
36.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
35.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
34.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
98.4%1cosTheta_i
98.4%1u1
98.4%1u2
98.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes361.0ms (3.2%)

Memory
-24.1MiB live, 244.6MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #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 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.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)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
#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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) 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 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 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 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #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 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.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 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 #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)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (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 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.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)) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (/.f32 u1 (/.f32 (-.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 u2 u1) (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 (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (sin.f32 (*.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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) #s(approx (sqrt (+ (* u1 u1) u1)) (+.f32 #s(literal 1/2 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
Outputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
Calls

8 calls:

65.0ms
u2
61.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
54.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
53.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
44.0ms
u1
Results
AccuracySegmentsBranch
98.3%1cosTheta_i
98.3%1u1
98.3%1u2
98.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes267.0ms (2.4%)

Memory
23.3MiB live, 235.5MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #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 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.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)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
#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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) 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 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 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 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #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 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.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 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 #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)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (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 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.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)) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (/.f32 u1 (/.f32 (-.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 u2 u1) (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 (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (sin.f32 (*.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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) #s(approx (sqrt (+ (* u1 u1) u1)) (+.f32 #s(literal 1/2 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)) (/.f32 #s(literal 1 binary32) u1))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

51.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
50.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
38.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
37.0ms
u1
26.0ms
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)

regimes231.0ms (2%)

Memory
-3.5MiB live, 233.0MiB allocated
Counts
79 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #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 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.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)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
#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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) 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 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 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 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #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 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.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 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 #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)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (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 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.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)) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (/.f32 u1 (/.f32 (-.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 u2 u1) (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 (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (sin.f32 (*.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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (-.f32 u1 #s(literal -1 binary32)) #s(approx (sqrt (+ (* u1 u1) u1)) (+.f32 #s(literal 1/2 binary32) u1))))
Outputs
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

56.0ms
u1
31.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
31.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
29.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
21.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
88.0%1cosTheta_i
93.9%2u2
88.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.6%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.7%2u1
91.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes224.0ms (2%)

Memory
9.7MiB live, 128.9MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #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 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.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)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
#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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) 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 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 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 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #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 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.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 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 #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)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (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 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.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)) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (/.f32 u1 (/.f32 (-.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 u2 u1) (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 (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (/ (- 1 (* u1 u1)) u1) (- u1 -1)))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

98.0ms
u1
35.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
32.0ms
u2
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
88.0%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.0%1u1
88.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.0%1u2
88.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 20 to 30 computations (-50% saved)

regimes226.0ms (2%)

Memory
-27.0MiB live, 172.9MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #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 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.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)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
#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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) 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 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 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 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #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 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.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 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 #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)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (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 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.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)) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))))
Outputs
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
Calls

8 calls:

53.0ms
cosTheta_i
34.0ms
u2
30.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
87.9%1cosTheta_i
87.9%1u1
87.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.9%1u2
87.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes254.0ms (2.2%)

Memory
17.2MiB live, 254.2MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #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 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2) (sqrt.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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))
(*.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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 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 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.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)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
#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))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) 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 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (-.f32 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 u1 #s(literal 1 binary32)) (neg.f32 (/.f32 (-.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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)) #s(approx (- u1 -1) #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 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.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 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) (*.f32 #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)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 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 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 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 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (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 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (/ (- u1 -1) (sqrt (+ (* u1 u1) u1)))) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.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)) (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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
Calls

8 calls:

68.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
51.0ms
u1
31.0ms
cosTheta_i
30.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
20.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
79.4%1u1
79.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.4%1cosTheta_i
79.4%1u2
79.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
79.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes69.0ms (0.6%)

Memory
9.1MiB live, 86.1MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #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 (/.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 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))))
#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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #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 #s(literal -1 binary32) (-.f32 u1 #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 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal -1 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
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:

26.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
u2
Results
AccuracySegmentsBranch
79.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%1u2
79.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
79.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
79.4%1u1
79.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.4%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes49.0ms (0.4%)

Memory
-4.3MiB live, 34.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))) (*.f32 #s(approx (sqrt (/ u1 (- 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (+.f32 (/.f32 #s(literal 1/2 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

27.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
u1
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
61.7%1u2
61.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.7%1u1
61.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.7%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
61.7%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes40.0ms (0.4%)

Memory
-15.3MiB live, 30.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (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))))
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:

25.0ms
(*.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
(*.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
61.7%1u2
61.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.7%1u1
61.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.7%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
61.7%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes36.0ms (0.3%)

Memory
-8.5MiB live, 29.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

25.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
u1
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
19.7%1u1
19.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.7%1u2
19.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.7%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
19.7%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes9.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 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
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
4.3%1cosTheta_i
4.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.3%1u2
4.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.3%1u1
4.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.31638461351394653
0.32921749353408813
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify68.0ms (0.6%)

Memory
-6.7MiB live, 67.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076338
1112336
2180334
3326334
4790334
53393334
65801334
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/16777216 binary32)) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
Outputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/16777216 binary32)) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (* 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 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (sqrt (* u1 (+ (* u1 u1) -1))) (sqrt (* (+ (* u1 u1) -1) (- u1 -1)))) (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))

soundness1.6s (14.1%)

Memory
2.0MiB live, 1 173.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04522108
113691925
242831688
083561593
049280
084262
1270206
21915204
08952202
036187
059166
1166161
2886161
08127161
08554488
127003863
084603611
06062785
118292533
256922525
084812390
053306
086300
1281268
21849268
08253268
0202815
1602725
21761652
35215599
47627598
08026569
01032
01632
14632
223732
3195432
0973432
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 773 to 442 computations (42.8% saved)

preprocess117.0ms (1%)

Memory
-24.2MiB live, 211.7MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 786 to 268 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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