Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze396.0ms (5.7%)

Memory
45.5MiB live, 645.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.7s (25%)

Memory
64.1MiB live, 2 249.4MiB allocated
Samples
1.3s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 406.0ms (38.5% of total)
ival-mult: 133.0ms (12.6% of total)
ival-<=: 113.0ms (10.7% of total)
ival-sin: 112.0ms (10.6% of total)
ival-div: 73.0ms (6.9% of total)
ival-sub: 71.0ms (6.7% of total)
ival-sqrt: 68.0ms (6.4% of total)
ival-and: 35.0ms (3.3% of total)
ival->: 35.0ms (3.3% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain143.0ms (2%)

Memory
-36.6MiB live, 171.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9999743103981018 5.741933151170997e-9 0.5045972466468811)(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 -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sub: 9.0ms (24.1% of total)
const: 8.0ms (21.5% of total)
ival-sin: 7.0ms (18.8% of total)
ival-mult: 6.0ms (16.1% of total)
ival-div: 4.0ms (10.7% of total)
ival-sqrt: 3.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess60.0ms (0.9%)

Memory
5.4MiB live, 62.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 11 to 11 computations (0% saved)

simplify3.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12036
02036
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize32.0ms (0.5%)

Memory
-19.4MiB live, 27.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.1917763183790941
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.296875
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
25.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
const: 4.0ms (26.4% of total)
ival-mult: 3.0ms (19.8% of total)
ival-sin: 3.0ms (19.8% of total)
ival-div: 2.0ms (13.2% of total)
ival-sqrt: 2.0ms (13.2% of total)
ival-sub: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)))
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)))

simplify140.0ms (2%)

Memory
35.8MiB live, 123.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite159.0ms (2.3%)

Memory
-18.4MiB live, 168.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval88.0ms (1.3%)

Memory
-15.8MiB live, 83.9MiB allocated
Compiler

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

prune26.0ms (0.4%)

Memory
11.4MiB live, 56.8MiB allocated
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New46524489
Fresh000
Picked011
Done000
Total46525490
Accuracy
99.6%
Counts
490 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
72.0%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
87.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
98.1%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
54.6%
(*.f32 (+.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.3%
(*.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.5%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 899 to 739 computations (17.8% saved)

simplify200.0ms (2.9%)

Memory
-40.2MiB live, 197.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043307
074307
1117303
2208303
3446303
41105303
52718288
66576288
08363287
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
u1
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(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 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
u1
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sin.f32 (acos.f32 u1))
(acos.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
Outputs
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
u1
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(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 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) 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
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
u1
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sin.f32 (acos.f32 u1))
(acos.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)

localize238.0ms (3.4%)

Memory
12.7MiB live, 158.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1917763183790941
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.21875
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.30078125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.34765625
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.23828125
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy0.296875
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy4.14665376617717
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy0.1917763183790941
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.1953125
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.30078125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.31640625
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.12890625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33041000976844204
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy5.566296917762994
#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)))
accuracy0.1917763183790941
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.265625
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
accuracy0.296875
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
190.0ms256×0valid
Compiler

Compiled 307 to 40 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
const: 114.0ms (66.3% of total)
ival-mult: 18.0ms (10.5% of total)
ival-sin: 14.0ms (8.1% of total)
ival-sqrt: 9.0ms (5.2% of total)
ival-div: 8.0ms (4.7% of total)
ival-acos: 4.0ms (2.3% of total)
ival-sub: 3.0ms (1.7% of total)
ival-add: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory
-16.7MiB live, 72.5MiB allocated
Counts
25 → 145
Calls
Call 1
Inputs
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt 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))))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(* u1 (+ 1 (pow u1 2)))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))))
(+ (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* -1/8 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))))))
(+ (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))))))))
(* -1 u1)
(* u1 (- (* -1 u1) 1))
1
(+ 1 (pow u1 2))
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(/ (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sin (acos u1)))
(* u1 (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (* (sin (acos u1)) (sqrt -1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1)))))
(* u1 (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (* (pow u1 2) (* (sin (acos u1)) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (* (sin (acos u1)) (sqrt -1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* u1 (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (* (pow u1 2) (* (sin (acos u1)) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (sin (* 314159265359/50000000000 u2)) (* (pow u1 3) (* (sin (acos u1)) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (* (sin (acos u1)) (sqrt -1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1)))))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (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 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (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))))
(* -1 (/ (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sin (acos u1))))
(* -1 (* u1 (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (sin (acos u1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (sin (acos u1))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))) u1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1)))) (* -1/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (sin (acos u1)))))) u1)) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))) u1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* -1 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (sin (acos u1)))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ u2 (sin (acos u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1))))) (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1)))))))))))
(* 314159265359/50000000000 (* (sqrt u1) (/ u2 (sin (acos u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1))))) (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1)))))))))))
(* 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 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
u1
@0
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
8.0ms
u1
@inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
7.0ms
u2
@-inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
7.0ms
u1
@-inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
5.0ms
u2
@inf
((/ (* (- -1 u1) u1) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ (* (- -1 u1) u1) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- -1 u1) u1) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))

simplify237.0ms (3.4%)

Memory
5.7MiB live, 247.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06673487
124383128
087032957
Stop Event
iter limit
node limit
Counts
145 → 144
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt 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))))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(* u1 (+ 1 (pow u1 2)))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))))
(+ (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* -1/8 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))))))
(+ (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))))))))
(* -1 u1)
(* u1 (- (* -1 u1) 1))
1
(+ 1 (pow u1 2))
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(/ (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sin (acos u1)))
(* u1 (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (* (sin (acos u1)) (sqrt -1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1)))))
(* u1 (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (* (pow u1 2) (* (sin (acos u1)) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (* (sin (acos u1)) (sqrt -1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* u1 (+ (* -1/8 (/ (sin (* 314159265359/50000000000 u2)) (* (pow u1 2) (* (sin (acos u1)) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (sin (* 314159265359/50000000000 u2)) (* (pow u1 3) (* (sin (acos u1)) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (* (sin (acos u1)) (sqrt -1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1)))))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (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 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (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))))
(* -1 (/ (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (sin (acos u1))))
(* -1 (* u1 (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (sin (acos u1))))) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (sin (acos u1))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))) u1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1)))) (* -1/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (sin (acos u1)))))) u1)) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))) u1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (sin (acos u1))))))
(* -1 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (sin (acos u1)))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ u2 (sin (acos u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1))))) (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1)))))))))))
(* 314159265359/50000000000 (* (sqrt u1) (/ u2 (sin (acos u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1))))) (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1)))))))))))
(* 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 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 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 (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 u1)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 u1)) #s(literal 1 binary32)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 u1 u1)) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 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)))
(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 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32))) u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)))))
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(fma.f32 (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32) (*.f32 #s(literal 1/16 binary32) (sqrt.f32 u1))) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 u1))
(* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (acos.f32 u1))) (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)) (sin (acos u1)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* -1/8 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (acos.f32 u1))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1))))
(+ (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (acos.f32 u1))) (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32)))) (*.f32 u1 u1))) (*.f32 u1 u1) (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1))))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1 u1) 1))
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (- u1 1)))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ u2 (sin (acos u1)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (/.f32 u2 (sin.f32 (acos.f32 u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1))))) (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (acos.f32 u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ (pow u2 2) (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- 1 u1))) (/ 1 (sin (acos u1)))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 (*.f32 u2 u2) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (acos.f32 u1))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (acos.f32 u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* 314159265359/50000000000 (* (sqrt u1) (/ u2 (sin (acos u1)))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) u2) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1))))) (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 u2 u2) (sin.f32 (acos.f32 u1))) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 u2 u2) (sin.f32 (acos.f32 u1))) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ (pow u2 2) (sin (acos u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (/ 1 (sin (acos u1)))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 u2 u2) (sin.f32 (acos.f32 u1))) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* 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)))))))
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) u2) u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)
(* 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))))))))
(*.f32 (fma.f32 (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 u2 u2) (*.f32 (sqrt.f32 u1) #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) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (* u1 (- 1 u1))) (/ (sin (* 314159265359/50000000000 u2)) (sin (acos u1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (acos.f32 u1))))

rewrite159.0ms (2.3%)

Memory
24.9MiB live, 207.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043228
074236
1194227
21014180
010117178
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 358
Calls
Call 1
Inputs
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.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 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
Outputs
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 u1 (-.f32 #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 u1 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 u1 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 u1 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32)))
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(fma.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(fma.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 #s(literal 1 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 u1 #s(literal 1 binary32)) (*.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 u1 #s(literal 1 binary32))))
(fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.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 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (-.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 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 u1 #s(literal 1 binary32))) (*.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 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 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.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 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))
(+.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.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 (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(+.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))

eval109.0ms (1.6%)

Memory
10.8MiB live, 236.6MiB allocated
Compiler

Compiled 28 756 to 4 367 computations (84.8% saved)

prune69.0ms (1%)

Memory
-8.6MiB live, 135.2MiB allocated
Pruning

44 alts after pruning (41 fresh and 3 done)

PrunedKeptTotal
New1 014311 045
Fresh91019
Picked325
Done011
Total1 026441 070
Accuracy
99.8%
Counts
1 070 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (*.f32 (sin.f32 (acos.f32 u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.7%
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
6.9%
(*.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
41.5%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
57.9%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
97.5%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (acos.f32 u1)) (*.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
35.3%
(*.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)))
98.3%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.9%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
81.8%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
98.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
74.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
96.4%
(*.f32 (exp.f32 (*.f32 (log.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))))
96.5%
(*.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (acos u1))) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (/.f32 u2 (sin.f32 (acos.f32 u1)))))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
81.9%
#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)))
81.9%
#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))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.9%
#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)))
3.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
64.9%
#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 1 953 to 1 540 computations (21.1% saved)

simplify135.0ms (1.9%)

Memory
4.2MiB live, 191.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff2
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
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
(neg.f32 u1)
cost-diff0
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff3
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058472
098478
1150474
2287459
3590459
41247451
52852451
67127451
08807451
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 u1)
u1
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#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)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(sqrt.f32 u1)
u1
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))
(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 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.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) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(pow.f32 u1 #s(literal 4 binary32))
#s(literal 4 binary32)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) 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 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 u1)
u1
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#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)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (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)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) 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
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (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 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) u1) (fma.f32 u1 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 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.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 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(pow.f32 u1 #s(literal 4 binary32))
#s(literal 4 binary32)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) 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

localize196.0ms (2.8%)

Memory
-13.4MiB live, 323.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.29296875
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy3.969952561730918
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy28.078534500382048
(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy0.1917763183790941
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.30859375
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30859375
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
accuracy0.2890625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
accuracy0.3515625
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy2.3373271379246083
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy5.270047629479305
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
accuracy0.265625
(*.f32 (sqrt.f32 u1) u2)
accuracy0.34765625
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy5.507677258034981
#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))))
accuracy8.009128908067154
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.1917763183790941
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.2890625
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.29296875
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
156.0ms254×0valid
1.0ms0invalid
Compiler

Compiled 415 to 53 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
const: 39.0ms (28.7% of total)
ival-mult: 29.0ms (21.3% of total)
ival-sin: 26.0ms (19.1% of total)
ival-sqrt: 19.0ms (14% of total)
ival-div: 11.0ms (8.1% of total)
ival-add: 4.0ms (2.9% of total)
ival-pow: 3.0ms (2.2% of total)
ival-sub: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
40.1MiB live, 40.1MiB allocated
Counts
27 → 109
Calls
Call 1
Inputs
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 u1)
#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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(sqrt.f32 u1)
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(fma.f32 u1 u1 #s(literal -1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* 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)))))))))
(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)
(* 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)
1
(+ 1 (* -1 u1))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(+ 1 (* u1 (- (* -1 u1) 1)))
(+ 1 (* u1 (- (* u1 (- u1 1)) 1)))
(* u1 (+ 1 (pow u1 2)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 3 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 1 u1))))))))
-1
(- (pow u1 2) 1)
(+ 1 (pow u1 2))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* u1 (- (/ 1 u1) 1))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (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)))
(+ (* 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 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) 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 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
u2
@0
((* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
5.0ms
u2
@inf
((* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
4.0ms
u2
@-inf
((* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
3.0ms
u1
@-inf
((* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))
2.0ms
u1
@inf
((* (neg u1) (/ -1 (- 1 u1))) (* (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (neg u1) (/ -1 (- 1 u1)))) (neg u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (* (sqrt (/ 1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (+ (* u1 u1) -1) (+ (* u1 u1) 1))

simplify240.0ms (3.4%)

Memory
16.7MiB live, 284.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04572379
116022120
266952101
093741972
Stop Event
iter limit
node limit
Counts
109 → 108
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* 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)))))))))
(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)
(* 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)
1
(+ 1 (* -1 u1))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(+ 1 (* u1 (- (* -1 u1) 1)))
(+ 1 (* u1 (- (* u1 (- u1 1)) 1)))
(* u1 (+ 1 (pow u1 2)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 3 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 1 u1))))))))
-1
(- (pow u1 2) 1)
(+ 1 (pow u1 2))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* u1 (- (/ 1 u1) 1))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (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)))
(+ (* 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 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) 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 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #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 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(* -1 u1)
(neg.f32 u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(* (sqrt u1) u2)
(*.f32 (sqrt.f32 u1) u2)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32))) u1 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32))) (*.f32 u1 u1)))
(+ 1 (* u1 (- (* -1 u1) 1)))
(fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- u1 1)) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 #s(literal 3/2 binary32) (sqrt.f32 u1)))) (*.f32 u1 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)) (- 3 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 3/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)))) u1 (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 #s(literal 3/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
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(*.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) u2))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))))))
(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.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 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 (-.f32 (*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 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)) (sqrt (/ 1 (- 1 u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ (* u1 (+ 1 (pow u1 2))) (* (+ (/ 1 (+ 1 (pow u1 2))) (/ (pow u1 4) (- (pow u1 2) 1))) (- 1 u1)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (pow.f32 u2 #s(literal 4 binary32)))

rewrite236.0ms (3.4%)

Memory
-28.6MiB live, 204.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058324
098328
1276307
21635307
08285307
Stop Event
iter limit
node limit
iter limit
Counts
27 → 517
Calls
Call 1
Inputs
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 u1)
#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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(sqrt.f32 u1)
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(fma.f32 u1 u1 #s(literal -1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
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(+.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #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)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))
(+.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.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 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #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 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))) (*.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 1 binary32))) (*.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1 binary32))) (*.f32 (neg.f32 (fma.f32 u1 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))) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (*.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(-.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 u1)) (neg.f32 u1)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 (neg.f32 u1)))
(fma.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 u1)) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 u1 (fabs.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))))
(+.f32 (/.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 u1 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))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(+.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(+.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #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)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))

eval135.0ms (1.9%)

Memory
25.7MiB live, 230.6MiB allocated
Compiler

Compiled 28 195 to 3 631 computations (87.1% saved)

prune114.0ms (1.6%)

Memory
18.9MiB live, 239.4MiB allocated
Pruning

59 alts after pruning (53 fresh and 6 done)

PrunedKeptTotal
New69124715
Fresh72936
Picked235
Done033
Total70059759
Accuracy
99.8%
Counts
759 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
81.6%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.7%
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
6.7%
(*.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
34.5%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (- 1 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
57.8%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
8.6%
(*.f32 (*.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (neg.f32 u2)) (neg.f32 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 u2 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
91.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32))) u2)))
91.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
36.2%
(*.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)))
81.8%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.8%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.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)))
98.2%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.8%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
98.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
74.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
96.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.4%
(*.f32 (exp.f32 (*.f32 (log.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))))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
81.9%
#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)))
81.9%
#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))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.9%
#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)))
3.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
64.9%
#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))))
64.9%
#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 2 740 to 2 149 computations (21.6% saved)

simplify183.0ms (2.6%)

Memory
3.2MiB live, 100.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
cost-diff2
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))
cost-diff6
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057446
097446
1159446
2343436
3799430
41985424
53736424
64565424
75316424
85688424
96031424
106754424
08197420
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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)
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 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
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 u2)
u2
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))
(/.f32 #s(literal -314159265359/100000000000 binary32) u1)
#s(literal -314159265359/100000000000 binary32)
u1
(/.f32 u2 (sqrt.f32 #s(literal -1 binary32)))
u2
(sqrt.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))
#s(literal 314159265359/50000000000 binary32)
(/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))
(*.f32 #s(literal -942477796077/400000000000 binary32) u2)
#s(literal -942477796077/400000000000 binary32)
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)
(*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(sqrt.f32 u1)
u1
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal -1/2 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (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))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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)
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(+.f32 #s(literal 1 binary32) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 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
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (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)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 u2)
u2
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (-.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 #s(literal 942477796077/400000000000 binary32) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (-.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 #s(literal 942477796077/400000000000 binary32) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))) u2))
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 (-.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 #s(literal 942477796077/400000000000 binary32) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))) u2)
(/.f32 #s(literal -314159265359/100000000000 binary32) u1)
#s(literal -314159265359/100000000000 binary32)
u1
(/.f32 u2 (sqrt.f32 #s(literal -1 binary32)))
u2
(sqrt.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) u1)) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
(/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))
(*.f32 (/.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) u1) u2)
(*.f32 #s(literal -942477796077/400000000000 binary32) u2)
#s(literal -942477796077/400000000000 binary32)
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)
(*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal -1/2 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

localize168.0ms (2.4%)

Memory
-9.7MiB live, 268.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy0.0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.0
(sqrt.f32 u1)
accuracy0.0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.0
(*.f32 #s(literal -942477796077/400000000000 binary32) u2)
accuracy0.0
(sqrt.f32 #s(literal -1 binary32))
accuracy0.0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
accuracy0.0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
accuracy0.0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
accuracy0.0
(*.f32 u2 u2)
accuracy0.0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.0
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy0.0
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
accuracy0.0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Samples
109.0ms256×0invalid
Compiler

Compiled 337 to 52 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 26.0ms (33.7% of total)
const: 16.0ms (20.8% of total)
ival-sqrt: 11.0ms (14.3% of total)
ival-div: 6.0ms (7.8% of total)
ival-pow: 6.0ms (7.8% of total)
ival-add: 4.0ms (5.2% of total)
ival-sin: 3.0ms (3.9% of total)
ival-sub: 3.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (1%)

Memory
-3.5MiB live, 57.9MiB allocated
Counts
27 → 116
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 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))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #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)
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (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))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 u2 u2)
(sqrt.f32 #s(literal -1 binary32))
(*.f32 #s(literal -942477796077/400000000000 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))))))))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(* 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))
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1))))
(/ (+ (* -314159265359/100000000000 (/ (* u1 u2) (sqrt -1))) (* -942477796077/400000000000 (/ u2 (sqrt -1)))) (pow u1 2))
(/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* u1 (+ (* -314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/50000000000 (* u1 (* u2 (sqrt -1))))))) (pow u1 2))
(/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* 314159265359/50000000000 (* (pow u1 2) (* u2 (sqrt -1))))) (pow u1 2))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(+ 1 (* u1 (+ 1/2 (* -1/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8)))))
(* (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))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (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)))))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
(+ (* 1/2 (/ (* (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)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* 942477796077/400000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -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 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
(* 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)))))))))))
(* 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))))))))))
(* u2 (- (* 314159265359/50000000000 (sqrt -1)) (+ (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1)))))))
(* u2 (- (* 314159265359/50000000000 (sqrt -1)) (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(pow u2 2)
(* -942477796077/400000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt -1)) (+ (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1))))))))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt -1)) (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))))))
Calls

9 calls:

TimeVariablePointExpression
46.0ms
u1
@inf
((* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (- 1 u1) -1/2)) (sqrt u1) (pow (- 1 u1) -1/2) (sin (* 314159265359/50000000000 u2)) (sqrt (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 u2) (sqrt -1) (* -942477796077/400000000000 u2))
6.0ms
u2
@inf
((* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (- 1 u1) -1/2)) (sqrt u1) (pow (- 1 u1) -1/2) (sin (* 314159265359/50000000000 u2)) (sqrt (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 u2) (sqrt -1) (* -942477796077/400000000000 u2))
5.0ms
u2
@0
((* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (- 1 u1) -1/2)) (sqrt u1) (pow (- 1 u1) -1/2) (sin (* 314159265359/50000000000 u2)) (sqrt (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 u2) (sqrt -1) (* -942477796077/400000000000 u2))
5.0ms
u2
@-inf
((* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (- 1 u1) -1/2)) (sqrt u1) (pow (- 1 u1) -1/2) (sin (* 314159265359/50000000000 u2)) (sqrt (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 u2) (sqrt -1) (* -942477796077/400000000000 u2))
4.0ms
u1
@-inf
((* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) (pow (- 1 u1) -1/2)) (sin (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (- 1 u1) -1/2)) (sqrt u1) (pow (- 1 u1) -1/2) (sin (* 314159265359/50000000000 u2)) (sqrt (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 u2) (sqrt -1) (* -942477796077/400000000000 u2))

simplify194.0ms (2.8%)

Memory
-20.0MiB live, 255.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05152405
117942162
275062127
080141993
Stop Event
iter limit
node limit
Counts
116 → 115
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))))))))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(* 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))
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1))))
(/ (+ (* -314159265359/100000000000 (/ (* u1 u2) (sqrt -1))) (* -942477796077/400000000000 (/ u2 (sqrt -1)))) (pow u1 2))
(/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* u1 (+ (* -314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/50000000000 (* u1 (* u2 (sqrt -1))))))) (pow u1 2))
(/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* 314159265359/50000000000 (* (pow u1 2) (* u2 (sqrt -1))))) (pow u1 2))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(+ 1 (* u1 (+ 1/2 (* -1/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8)))))
(* (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))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (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)))))
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
(+ (* 1/2 (/ (* (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)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* 942477796077/400000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -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 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
(* 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)))))))))))
(* 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))))))))))
(* u2 (- (* 314159265359/50000000000 (sqrt -1)) (+ (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1)))))))
(* u2 (- (* 314159265359/50000000000 (sqrt -1)) (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(pow u2 2)
(* -942477796077/400000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt -1)) (+ (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1))))))))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt -1)) (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (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 (*.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))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))
(fma.f32 (*.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 3/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 u1))
u1
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(fma.f32 (fma.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)) u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1))))
(*.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) u1) (/.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) u1))
(/ (+ (* -314159265359/100000000000 (/ (* u1 u2) (sqrt -1))) (* -942477796077/400000000000 (/ u2 (sqrt -1)))) (pow u1 2))
(/.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 #s(literal -314159265359/100000000000 binary32) u2) (*.f32 #s(literal -942477796077/400000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) u1) u1)
(/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* u1 (+ (* -314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/50000000000 (* u1 (* u2 (sqrt -1))))))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u1) #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal -314159265359/100000000000 binary32))) u1 (*.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal -942477796077/400000000000 binary32))) u1) u1)
(/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* 314159265359/50000000000 (* (pow u1 2) (* u2 (sqrt -1))))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u1) u1) #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal -942477796077/400000000000 binary32))) u1) u1)
(+ 1 (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* -1/8 u1))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) u1) #s(literal 1/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(* (sqrt (/ 1 u1)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32) #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32) #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))) u1)
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(fma.f32 (/.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) u1) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (/.f32 (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 (/.f32 u2 (*.f32 u1 u1)) #s(literal -942477796077/400000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -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))))))
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (/.f32 (fma.f32 (/.f32 u2 (*.f32 u1 u1)) #s(literal -942477796077/400000000000 binary32) (/.f32 (*.f32 #s(literal -314159265359/160000000000 binary32) u2) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (/.f32 (fma.f32 (/.f32 u2 u1) #s(literal -314159265359/100000000000 binary32) (*.f32 (/.f32 u2 (*.f32 u1 u1)) #s(literal -942477796077/400000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -942477796077/400000000000 (/ u2 (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) u2)
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(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)
(* u2 (- (* 314159265359/50000000000 (sqrt -1)) (+ (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1)))))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 314159265359/100000000000 binary32) u1) (/.f32 #s(literal 942477796077/400000000000 binary32) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32)))) u2)
(* u2 (- (* 314159265359/50000000000 (sqrt -1)) (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1))))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow u2 2)
(*.f32 u2 u2)
(* -942477796077/400000000000 u2)
(*.f32 #s(literal -942477796077/400000000000 binary32) u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt -1)) (+ (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1))))))))
(*.f32 (neg.f32 u2) (fma.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 314159265359/100000000000 binary32) u1) (/.f32 #s(literal 942477796077/400000000000 binary32) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt -1)) (* 942477796077/400000000000 (/ 1 (* (pow u1 2) (sqrt -1)))))))
(*.f32 (neg.f32 u2) (fma.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 942477796077/400000000000 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))))

rewrite112.0ms (1.6%)

Memory
33.7MiB live, 135.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057330
097334
1274314
01757314
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 233
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 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))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #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)
(fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (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))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 u2 u2)
(sqrt.f32 #s(literal -1 binary32))
(*.f32 #s(literal -942477796077/400000000000 binary32) u2)
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))) (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))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (acos.f32 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sin.f32 (acos.f32 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.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)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 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) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (acos.f32 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
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(*.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))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (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 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (fabs.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)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (pow.f32 u2 #s(literal 1 binary32)) (pow.f32 u2 #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 u2)) (neg.f32 (neg.f32 u2)))
(*.f32 (neg.f32 (fabs.f32 u2)) (neg.f32 (fabs.f32 u2)))
(*.f32 (fabs.f32 (fabs.f32 u2)) (fabs.f32 (fabs.f32 u2)))
(*.f32 (neg.f32 u2) (neg.f32 u2))
(*.f32 (fabs.f32 u2) (fabs.f32 u2))
(*.f32 u2 u2)
(pow.f32 (neg.f32 u2) #s(literal 2 binary32))
(pow.f32 (fabs.f32 u2) #s(literal 2 binary32))
(pow.f32 u2 #s(literal 2 binary32))
(fabs.f32 (*.f32 u2 u2))
(exp.f32 (*.f32 (log.f32 u2) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 u2) u2))
(neg.f32 (*.f32 u2 (neg.f32 u2)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 #s(literal -942477796077/400000000000 binary32) u2)
(*.f32 u2 #s(literal -942477796077/400000000000 binary32))

eval90.0ms (1.3%)

Memory
-31.3MiB live, 59.9MiB allocated
Compiler

Compiled 15 164 to 1 794 computations (88.2% saved)

prune73.0ms (1%)

Memory
3.1MiB live, 150.2MiB allocated
Pruning

69 alts after pruning (59 fresh and 10 done)

PrunedKeptTotal
New36918387
Fresh74148
Picked145
Done066
Total37769446
Accuracy
99.8%
Counts
446 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.7%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
97.7%
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
34.8%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(approx (- 1 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
58.9%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (/ 1 (+ (* u1 u1) 1)) (/ (pow u1 4) (+ (* u1 u1) -1))) (- 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
98.0%
(*.f32 (*.f32 (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)) (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.3%
(*.f32 (*.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.8%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.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)))
81.8%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.3%
(*.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 (* u1 u1))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 (neg.f32 u2) (neg.f32 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 (neg.f32 (fabs.f32 u2)) (neg.f32 (fabs.f32 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (neg.f32 (*.f32 u2 (neg.f32 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (neg.f32 (*.f32 (neg.f32 u2) u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 u2 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
91.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32))) u2)))
91.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
81.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
35.0%
(*.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)))
81.8%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.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)))
98.2%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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))))
81.7%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.8%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
98.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
74.2%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
96.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.4%
(*.f32 (exp.f32 (*.f32 (log.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))))
65.1%
#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 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)))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
81.9%
#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)))
81.9%
#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))
81.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.9%
#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)))
3.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)))))))
3.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
3.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 #s(literal 942477796077/400000000000 binary32) (/.f32 u2 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
3.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(approx (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) u2)))))
19.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 u1))))))
4.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -942477796077/400000000000 binary32) (/.f32 u2 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))))
4.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))))
64.9%
#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))))
64.9%
#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)))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (/.f32 (/.f32 (fma.f32 #s(literal 314159265359/100000000000 binary32) u2 (/.f32 (*.f32 #s(literal 942477796077/400000000000 binary32) u2) u1)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 u1))))))
Compiler

Compiled 4 444 to 1 942 computations (56.3% saved)

regimes217.0ms (3.1%)

Memory
4.4MiB live, 389.1MiB allocated
Counts
98 → 1
Calls
Call 1
Inputs
#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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.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 (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (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)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 u2 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (neg.f32 (*.f32 (neg.f32 u2) u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
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(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sin.f32 (acos.f32 u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (+.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) #s(literal 1/4 binary32)) (sqrt.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (acos.f32 u1)) (*.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.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)))
Calls

8 calls:

43.0ms
cosTheta_i
27.0ms
u2
25.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms
u1
24.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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%1cosTheta_i
98.4%1u1
98.4%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes102.0ms (1.5%)

Memory
20.1MiB live, 162.5MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.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 (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (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)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 u2 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (neg.f32 (*.f32 (neg.f32 u2) u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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) (-.f32 (*.f32 (neg.f32 (*.f32 u2 (neg.f32 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (neg.f32 u2) (neg.f32 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (neg.f32 u2)) (neg.f32 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 (neg.f32 (fabs.f32 u2)) (neg.f32 (fabs.f32 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.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)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (/.f32 (/.f32 (fma.f32 #s(literal 314159265359/100000000000 binary32) u2 (/.f32 (*.f32 #s(literal 942477796077/400000000000 binary32) u2) u1)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 u1))))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(approx (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 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)) (fma.f32 #s(literal -942477796077/400000000000 binary32) (/.f32 u2 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 #s(literal 942477796077/400000000000 binary32) (/.f32 u2 (*.f32 (*.f32 (sqrt.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)) (fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

16.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
u1
12.0ms
cosTheta_i
12.0ms
u2
Results
AccuracySegmentsBranch
96.0%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.6%1cosTheta_i
91.6%1u1
96.0%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes38.0ms (0.5%)

Memory
-0.8MiB live, 91.8MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.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 (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (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)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 u2 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (neg.f32 (*.f32 (neg.f32 u2) u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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) (-.f32 (*.f32 (neg.f32 (*.f32 u2 (neg.f32 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (neg.f32 u2) (neg.f32 u2)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (neg.f32 u2)) (neg.f32 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 (neg.f32 (fabs.f32 u2)) (neg.f32 (fabs.f32 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.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)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (/ -314159265359/100000000000 u1) (/ u2 (sqrt -1))) (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1)))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (/.f32 (/.f32 (fma.f32 #s(literal 314159265359/100000000000 binary32) u2 (/.f32 (*.f32 #s(literal 942477796077/400000000000 binary32) u2) u1)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 u1))))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(approx (+ (* (* 314159265359/50000000000 (sqrt -1)) u2) (/ (* -942477796077/400000000000 u2) (* (* (sqrt -1) u1) u1))) (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal -942477796077/400000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -314159265359/100000000000 binary32) (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 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)) (fma.f32 #s(literal -942477796077/400000000000 binary32) (/.f32 u2 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) u2 (/.f32 (*.f32 #s(literal -942477796077/400000000000 binary32) u2) (*.f32 (*.f32 (sqrt.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)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 #s(literal 942477796077/400000000000 binary32) (/.f32 u2 (*.f32 (*.f32 (sqrt.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)) (fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 #s(literal -314159265359/100000000000 binary32) u1) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal -942477796077/400000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 u2 (*.f32 u1 u1)))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

3 calls:

12.0ms
cosTheta_i
12.0ms
u2
11.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
91.6%1cosTheta_i
91.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.6%1u2
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes57.0ms (0.8%)

Memory
5.0MiB live, 103.6MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.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 (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sin (* 314159265359/50000000000 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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (* u2 u2)) 314159265359/50000000000) (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)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 u2 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #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 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)))
Outputs
#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))
Calls

8 calls:

10.0ms
u1
9.0ms
u2
6.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
cosTheta_i
6.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
81.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%1u1
81.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
81.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
81.9%1u2
81.9%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes17.0ms (0.2%)

Memory
-0.8MiB live, 46.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#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))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
81.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
81.9%1u2
81.9%1cosTheta_i
81.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
81.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes14.0ms (0.2%)

Memory
-15.9MiB live, 30.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#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)))
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:

3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
64.9%1cosTheta_i
64.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
64.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.9%1u2
64.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
64.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.9%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes11.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#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) u2) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(*.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
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
64.9%1cosTheta_i
64.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
64.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.9%1u1
64.9%1u2
64.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes9.0ms (0.1%)

Memory
-25.5MiB live, 21.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
u2
Results
AccuracySegmentsBranch
64.9%1cosTheta_i
64.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.9%1u1
64.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
64.9%1u2
64.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
64.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.11032557487487793
0.12341582775115967
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify18.0ms (0.3%)

Memory
-27.5MiB live, 31.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049210
160210
274210
378210
Stop Event
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)))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (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) 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)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (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) 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)))

derivations600.0ms (8.6%)

Memory
22.7MiB live, 402.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043228
074236
1194227
21014180
010117178
06673487
124383128
087032957
058324
098328
1276307
21635307
08285307
0202825
1707735
22810641
08637610
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 210 to 52 computations (75.2% saved)

preprocess68.0ms (1%)

Memory
11.5MiB live, 54.6MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 530 to 214 computations (59.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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