Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze254.0ms (2.7%)

Memory
36.7MiB live, 472.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample2.0s (21.3%)

Memory
20.3MiB live, 2 347.5MiB allocated
Samples
1.6s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 532.0ms (42.3% of total)
ival-mult: 171.0ms (13.6% of total)
ival-<=: 152.0ms (12.1% of total)
ival-sin: 126.0ms (10% of total)
ival-div: 88.0ms (7% of total)
ival-sqrt: 65.0ms (5.2% of total)
ival-sub: 55.0ms (4.4% of total)
ival-and: 32.0ms (2.5% of total)
ival->: 29.0ms (2.3% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain418.0ms (4.4%)

Memory
-182.4MiB live, 121.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
77.0ms512×0valid
Compiler

Compiled 123 to 48 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 38.0ms (61.8% of total)
const: 7.0ms (11.4% of total)
ival-sin: 6.0ms (9.8% of total)
ival-div: 4.0ms (6.5% of total)
ival-sqrt: 3.0ms (4.9% of total)
ival-sub: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess49.0ms (0.5%)

Memory
-10.7MiB live, 26.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB 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
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize44.0ms (0.5%)

Memory
-8.2MiB live, 33.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.1842849697981886
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37890625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
25.0ms256×0valid
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
const: 4.0ms (27% of total)
ival-mult: 3.0ms (20.3% of total)
ival-sin: 3.0ms (20.3% of total)
ival-div: 2.0ms (13.5% of total)
ival-sqrt: 2.0ms (13.5% of total)
ival-sub: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
6 → 46
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
Calls

9 calls:

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

simplify258.0ms (2.7%)

Memory
11.5MiB live, 196.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202815
1602725
21761652
35215599
47627598
08026569
Stop Event
iter limit
node limit
Counts
46 → 45
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))))) (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (*.f32 u1 u1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

rewrite142.0ms (1.5%)

Memory
-2.4MiB live, 228.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval93.0ms (1%)

Memory
0.4MiB live, 120.6MiB allocated
Compiler

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

prune27.0ms (0.3%)

Memory
36.1MiB live, 74.4MiB allocated
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New53924563
Fresh000
Picked011
Done000
Total53925564
Accuracy
99.5%
Counts
564 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.5%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
30.4%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
33.2%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.6%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
25.7%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
73.4%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
37.8%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.2%
(*.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)))))
46.2%
(*.f32 (exp.f32 (*.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#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 849 to 719 computations (15.3% saved)

simplify190.0ms (2%)

Memory
-24.3MiB live, 257.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff6400
(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
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)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff0
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff0
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff160
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040305
069297
1107297
2159297
3261297
4442291
5971291
63051291
76764291
08240291
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 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)
(sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))
(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(log.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)
(-.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 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/4 binary32)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (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)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (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)
(sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (exp.f32 (log.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 #s(literal 1 binary32) u1))
(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(log.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)
(-.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

localize118.0ms (1.2%)

Memory
7.7MiB live, 242.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33041000976844204
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy1.6394699923232565
(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
accuracy27.345643823895017
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy0.28125
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3046875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.38671875
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy3.99726633787514
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy0.1842849697981886
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.234375
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3046875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.39291000976844204
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.15234375
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.35546875
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy6.152570428179247
#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)))
accuracy0.1842849697981886
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37890625
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.5201950195368841
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Samples
87.0ms256×0valid
Compiler

Compiled 612 to 81 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 16.0ms (23.1% of total)
ival-div: 9.0ms (13% of total)
ival-exp: 9.0ms (13% of total)
ival-sin: 7.0ms (10.1% of total)
ival-sqrt: 6.0ms (8.7% of total)
ival-log: 5.0ms (7.2% of total)
ival-hypot: 4.0ms (5.8% of total)
ival-sub: 4.0ms (5.8% of total)
const: 4.0ms (5.8% of total)
ival-pow: 4.0ms (5.8% of total)
ival-add: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series357.0ms (3.7%)

Memory
-2.4MiB live, 669.7MiB allocated
Counts
23 → 163
Calls
Call 1
Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (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 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (exp.f32 (log.f32 (/.f32 u1 (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))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
Outputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ -1 u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(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))))))))
(+ (* -1/2 (* (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 (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))))))))
(+ (* -1/2 (* (sqrt (pow u1 5)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* u1 (+ 1 (* -1 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
1
(+ 1 (pow u1 2))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))
(- 1 (/ 1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (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))))))
(+ (* 1/2 (/ (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)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* 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)))))
(* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 9))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 9))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))
(/ 1 u1)
(/ (- 1 (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (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)))))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 5/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 3/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (/ (- (/ 1 (pow u1 2)) 1) u1))
(* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))
(* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) u1))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 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)) (+ 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 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2)))))))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
73.0ms
cosTheta_i
@0
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1))
57.0ms
u1
@inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1))
44.0ms
u1
@-inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1))
38.0ms
u1
@0
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1))
31.0ms
u2
@-inf
((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin (* u2 314159265359/50000000000)) (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* u2 314159265359/50000000000) (+ (* u1 u1) 1))

simplify201.0ms (2.1%)

Memory
40.2MiB live, 265.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07333748
122653317
268932945
085692786
Stop Event
iter limit
node limit
Counts
163 → 162
Calls
Call 1
Inputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
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(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) u2))
(* 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 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2)))))))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
Outputs
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(fma.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 u1 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 u1))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1/2 binary32)))) (*.f32 u1 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1/2 binary32)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.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)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 314159265359/100000000000 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 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 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)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.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 #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)
(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))))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 u1 (*.f32 #s(literal 3/8 binary32) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))
(+ (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 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32))) (*.f32 u1 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 #s(literal -1/2 binary32) (+.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 (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/2 binary32))) (*.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 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))))
(+ (* -1/2 (* (sqrt (pow u1 5)) (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 5 binary32))) #s(literal -1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 3/8 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32))) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* u1 (+ 1 (* -1 (pow u1 2))))
(-.f32 u1 (pow.f32 u1 #s(literal 3 binary32)))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(fma.f32 (fma.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)) 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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/2 binary32))) (*.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(*.f32 (fma.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(- 1 (* 2 (/ 1 u1)))
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(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) u2))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 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)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* 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)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (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 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2)))))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 (pow u1 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (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 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(*.f32 (fma.f32 (sqrt.f32 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 u1) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (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)) (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (+ 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite191.0ms (2%)

Memory
-35.9MiB live, 289.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040220
069202
1195192
21150192
09267192
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 051
Calls
Call 1
Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (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 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (exp.f32 (log.f32 (/.f32 u1 (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))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
Outputs
(*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) u1) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (+.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 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(*.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1))) (exp.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (pow.f32 u1 #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) u1) (/.f32 #s(literal -1 binary32) u1))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 u1 #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)))
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(-.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 (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 0 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 u1 #s(literal -1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))
(fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(fma.f32 (neg.f32 u1) (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 u1 u1 #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(exp.f32 (log1p.f32 (*.f32 u1 u1)))
(neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)))

eval224.0ms (2.3%)

Memory
39.9MiB live, 348.7MiB allocated
Compiler

Compiled 34 995 to 5 319 computations (84.8% saved)

prune94.0ms (1%)

Memory
-22.3MiB live, 222.4MiB allocated
Pruning

62 alts after pruning (59 fresh and 3 done)

PrunedKeptTotal
New1 307501 357
Fresh10919
Picked325
Done011
Total1 320621 382
Accuracy
99.8%
Counts
1 382 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.5%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.5%
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
97.9%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
77.5%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.5%
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
63.2%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #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 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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))))
97.6%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
25.9%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
80.1%
(*.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)))
98.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
(*.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))))
79.9%
(*.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))))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.7%
(*.f32 (sqrt.f32 u1) (*.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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))))
97.8%
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.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)))))
75.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))) #s(literal -1/8 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.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))))
63.2%
(*.f32 #s(approx (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
79.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
79.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
-0.0%
#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) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 u2 (*.f32 u1 u1)) (/.f32 u2 u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
16.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
64.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32))))))
Compiler

Compiled 2 879 to 2 242 computations (22.1% saved)

simplify240.0ms (2.5%)

Memory
-3.7MiB live, 151.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
cost-diff0
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 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 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
cost-diff160
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 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) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff0
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
cost-diff0
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
cost-diff0
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052388
088388
1141388
2245383
3474383
4816383
51161383
61186383
71367383
81649383
91704383
101773383
112110383
122134383
132170383
142213383
152237383
162279383
172304383
182321383
192323383
202335383
212360383
222390383
232475383
243162383
253867383
265308383
276386383
286848383
297302383
08042380
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal 4 binary32)
#s(literal -1/8 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 u2 u2) #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) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(*.f32 u2 #s(literal 314159265359/100000000000 binary32))
#s(literal 314159265359/100000000000 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u1 u1)
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
Outputs
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal 4 binary32)
#s(literal -1/8 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))) (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) u2) #s(literal 314159265359/50000000000 binary32)))
#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 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.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 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(*.f32 (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.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 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))
(*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u2) #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/100000000000 binary32))
(*.f32 #s(literal 314159265359/100000000000 binary32) u2)
#s(literal 314159265359/100000000000 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u1 u1)
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)

localize131.0ms (1.4%)

Memory
5.1MiB live, 239.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy0.26171875
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.3046875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.38671875
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.41148378907376815
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy3.103981662571673
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))))
accuracy6.152570428179247
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
accuracy26.800103441844513
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
accuracy0.30859375
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy0.37890625
(*.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)))
accuracy3.4189178481498232
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy6.3440820098428965
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
accuracy0.23046875
(*.f32 (sqrt.f32 u1) u2)
accuracy0.39453125
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy6.152570428179247
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
accuracy7.735698182609966
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.1842849697981886
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37890625
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.9099506837909422
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
Samples
95.0ms256×0valid
Compiler

Compiled 683 to 101 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 24.0ms (31.7% of total)
ival-div: 11.0ms (14.5% of total)
ival-pow: 11.0ms (14.5% of total)
const: 10.0ms (13.2% of total)
ival-sqrt: 8.0ms (10.6% of total)
ival-sin: 6.0ms (7.9% of total)
ival-add: 3.0ms (4% of total)
ival-sub: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series366.0ms (3.8%)

Memory
6.8MiB live, 470.2MiB allocated
Counts
26 → 143
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.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)))
(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 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Outputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ 1 (pow u1 4))
(/ (+ 1 (* -4 u1)) (pow u1 4))
(/ (+ 1 (* u1 (- (* 6 u1) 4))) (pow u1 4))
(/ (+ 1 (* u1 (- (* u1 (+ 6 (* -4 u1))) 4))) (pow u1 4))
(/ -1 u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)))))
(* 314159265359/50000000000 (sqrt u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))
(- 1 (* 4 (/ 1 u1)))
(- (+ 1 (/ 6 (pow u1 2))) (* 4 (/ 1 u1)))
(- (+ 1 (/ 6 (pow u1 2))) (+ (* 4 (/ 1 u1)) (* 4 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* 314159265359/100000000000 (* (sqrt (pow u1 5)) u2))
(* (pow u1 3) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(* (pow u1 3) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 5))) u2)))))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u1))) u1))) u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -314159265359/100000000000 (* (sqrt (pow u1 5)) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))) u1)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* u2 (+ (* 314159265359/100000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* 314159265359/50000000000 (sqrt 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))))))))
(* 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)))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* -314159265359/100000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
Calls

9 calls:

TimeVariablePointExpression
74.0ms
cosTheta_i
@inf
((* (pow (pow (/ (- u1 1) u1) 4) -1/8) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) 4) -1/8) (pow (/ (- u1 1) u1) 4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (sqrt u1) 314159265359/50000000000) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))))
55.0ms
u1
@inf
((* (pow (pow (/ (- u1 1) u1) 4) -1/8) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) 4) -1/8) (pow (/ (- u1 1) u1) 4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (sqrt u1) 314159265359/50000000000) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))))
48.0ms
u1
@0
((* (pow (pow (/ (- u1 1) u1) 4) -1/8) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) 4) -1/8) (pow (/ (- u1 1) u1) 4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (sqrt u1) 314159265359/50000000000) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))))
37.0ms
u2
@inf
((* (pow (pow (/ (- u1 1) u1) 4) -1/8) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) 4) -1/8) (pow (/ (- u1 1) u1) 4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (sqrt u1) 314159265359/50000000000) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))))
35.0ms
u2
@0
((* (pow (pow (/ (- u1 1) u1) 4) -1/8) (sin (* 314159265359/50000000000 u2))) (pow (pow (/ (- u1 1) u1) 4) -1/8) (pow (/ (- u1 1) u1) 4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (sqrt u1) 314159265359/50000000000) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))))

simplify235.0ms (2.5%)

Memory
-6.5MiB live, 175.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06422881
119632620
261872411
082542291
Stop Event
iter limit
node limit
Counts
143 → 142
Calls
Call 1
Inputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ 1 (pow u1 4))
(/ (+ 1 (* -4 u1)) (pow u1 4))
(/ (+ 1 (* u1 (- (* 6 u1) 4))) (pow u1 4))
(/ (+ 1 (* u1 (- (* u1 (+ 6 (* -4 u1))) 4))) (pow u1 4))
(/ -1 u1)
(/ (- u1 1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)))))
(* 314159265359/50000000000 (sqrt u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))
(- 1 (* 4 (/ 1 u1)))
(- (+ 1 (/ 6 (pow u1 2))) (* 4 (/ 1 u1)))
(- (+ 1 (/ 6 (pow u1 2))) (+ (* 4 (/ 1 u1)) (* 4 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* 314159265359/100000000000 (* (sqrt (pow u1 5)) u2))
(* (pow u1 3) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(* (pow u1 3) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 5))) u2)))))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- 4 (* 6 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 u1))) u1))) u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -314159265359/100000000000 (* (sqrt (pow u1 5)) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))) u1)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* u2 (+ (* 314159265359/100000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* 314159265359/50000000000 (sqrt 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))))))))
(* 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)))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* -314159265359/100000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
Outputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1/2 binary32)))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1/2 binary32)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(/ 1 (pow u1 4))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(/ (+ 1 (* -4 u1)) (pow u1 4))
(/.f32 (fma.f32 #s(literal -4 binary32) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))
(/ (+ 1 (* u1 (- (* 6 u1) 4))) (pow u1 4))
(/.f32 (fma.f32 (fma.f32 #s(literal 6 binary32) u1 #s(literal -4 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))
(/ (+ 1 (* u1 (- (* u1 (+ 6 (* -4 u1))) 4))) (pow u1 4))
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u1 #s(literal 6 binary32)) u1 #s(literal -4 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.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)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 314159265359/100000000000 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 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 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)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1)))
(* (sqrt u1) u2)
(*.f32 (sqrt.f32 u1) u2)
(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))
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(* 314159265359/50000000000 u2)
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314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
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(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) #s(literal 314159265359/300000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(/.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32))))) u2)
(* (sqrt (/ u1 (- u1 1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* -314159265359/100000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1))) (neg.f32 u2))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(*.f32 (neg.f32 (-.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))) (pow.f32 u2 #s(literal 3 binary32)))

rewrite264.0ms (2.8%)

Memory
0.7MiB live, 364.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052300
088296
1255289
21467289
08350280
Stop Event
iter limit
node limit
iter limit
Counts
26 → 583
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.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)))
(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 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (pow.f32 (pow.f32 u1 #s(literal -4 binary32)) #s(literal -1/8 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/8 binary32)) (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 4 binary32)))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 8 binary32)) #s(literal -1/16 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32))
(exp.f32 (fma.f32 (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 4 binary32)) #s(literal -1/16 binary32) (*.f32 (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 4 binary32)) #s(literal -1/16 binary32))))
(exp.f32 (*.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 4 binary32)) #s(literal -1/16 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 8 binary32))) #s(literal -1/16 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 4 binary32)) #s(literal -1/8 binary32)))
(*.f32 (pow.f32 u1 #s(literal -4 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 u1 #s(literal -4 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 4 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 4 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 u1 #s(literal -4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -2 binary32)) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -2 binary32)))
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log1p.f32 (/.f32 #s(literal -1 binary32) u1)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -4 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (sqrt.f32 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) u1))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 u1)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) u1))
(*.f32 (/.f32 (sqrt.f32 u1) u1) (/.f32 (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (exp.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (-.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (-.f32 (*.f32 u1 u1) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) u1)))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1))))
(*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))))
(*.f32 (fma.f32 u1 (neg.f32 u1) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (neg.f32 u1))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))) u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(*.f32 #s(literal -1 binary32) (expm1.f32 (neg.f32 (log.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) u1))
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(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))

eval87.0ms (0.9%)

Memory
20.4MiB live, 209.0MiB allocated
Compiler

Compiled 22 844 to 3 304 computations (85.5% saved)

prune93.0ms (1%)

Memory
4.9MiB live, 212.4MiB allocated
Pruning

58 alts after pruning (53 fresh and 5 done)

PrunedKeptTotal
New76823791
Fresh243054
Picked325
Done033
Total79558853
Accuracy
99.8%
Counts
853 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.5%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
92.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
35.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.8%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
97.9%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
75.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)))
79.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2)))
98.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
97.8%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
77.5%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.2%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #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 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.8%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
97.8%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
97.8%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
97.6%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
88.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) u2)))
88.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) u2)))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)) u2)))
5.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) #s(approx (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
98.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
(*.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))))
79.9%
(*.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))))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.8%
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.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)))))
75.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
51.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 8 binary32))) #s(literal -1/16 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.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))))
64.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
79.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
19.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (*.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))))
Compiler

Compiled 2 648 to 2 101 computations (20.7% saved)

simplify195.0ms (2%)

Memory
8.2MiB live, 245.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
cost-diff224
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
cost-diff544
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
cost-diff64
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
cost-diff320
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff3136
(-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff3552
(*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff0
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051476
081476
1149439
2329422
3848396
43183396
55202396
08120384
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #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 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
(*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
#s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.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)
#s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
(*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 98696044010906577398881/2500000000000000000000 binary32)
(-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
Outputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #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 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
(*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
#s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 u2 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 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)
#s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 u2 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (/.f32 u2 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32)))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(*.f32 (*.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) u2) u2)
(*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))
(*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 98696044010906577398881/2500000000000000000000 binary32)
(-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32)) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u2
#s(literal 314159265359/50000000000 binary32)

localize146.0ms (1.5%)

Memory
-17.5MiB live, 175.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2734375
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
accuracy0.28515625
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.3046875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.313163769536884
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy0.37890625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy0.40625
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))
accuracy0.4453125
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy3.4189178481498232
#s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.30859375
(*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
accuracy0.37890625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
accuracy3.4189178481498232
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
accuracy30.56798722462565
#s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
accuracy0.23828125
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy0.41148378907376815
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy6.152570428179247
#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)))
accuracy7.735698182609966
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy0.16796875
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy0.1842849697981886
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.29134750976844204
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.3046875
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
Samples
106.0ms256×0valid
Compiler

Compiled 817 to 97 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 19.0ms (32.1% of total)
ival-div: 11.0ms (18.6% of total)
const: 11.0ms (18.6% of total)
ival-sin: 6.0ms (10.1% of total)
ival-sqrt: 6.0ms (10.1% of total)
ival-sub: 3.0ms (5.1% of total)
ival-add: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
18.2MiB live, 54.9MiB allocated
Counts
28 → 128
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #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 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
(-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(sqrt.f32 u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
#s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
(*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (sqrt u1))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(* -1 (sqrt (/ 1 u1)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ -1 (sin (* 314159265359/50000000000 u2)))
(- (* 1/2 (/ u1 (sin (* 314159265359/50000000000 u2)))) (/ 1 (sin (* 314159265359/50000000000 u2))))
(- (* u1 (+ (* 1/8 (/ u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (/ 1 (sin (* 314159265359/50000000000 u2)))))) (/ 1 (sin (* 314159265359/50000000000 u2))))
(- (* u1 (+ (* u1 (+ (* 1/16 (/ u1 (sin (* 314159265359/50000000000 u2)))) (* 1/8 (/ 1 (sin (* 314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (sin (* 314159265359/50000000000 u2)))))) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (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))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(- (/ 1 u1) 1)
(* -1 (* (sqrt u1) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))))
(* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))))
(* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (+ (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))))))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (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))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))))))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))))))))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))))))))
(* 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))))
(* 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* -314159265359/50000000000 u2)
(* u2 (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) 314159265359/50000000000))
(* -98696044010906577398881/2500000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) 98696044010906577398881/2500000000000000000000))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* 98696044010906577398881/2500000000000000000000 (pow u2 2))
(* -50000000000/314159265359 (* (/ 1 u2) (sqrt (- 1 u1))))
(/ (+ (* -314159265359/300000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -50000000000/314159265359 (sqrt (- 1 u1)))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -314159265359/300000000000 (sqrt (- 1 u1)))))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -314159265359/300000000000 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- 1 u1)))))))) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (+ 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 6) (- 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (* 98696044010906577398881/2500000000000000000000 (/ 1 (pow u2 4)))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -1 (* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
u1
@-inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (/ (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000))) (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000))))) (/ -1 (sqrt u1)) (sqrt u1) (/ (- 1 u1) u1) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (sin (* 314159265359/50000000000 u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))
6.0ms
u2
@inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (/ (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000))) (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000))))) (/ -1 (sqrt u1)) (sqrt u1) (/ (- 1 u1) u1) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (sin (* 314159265359/50000000000 u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))
5.0ms
u2
@-inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (/ (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000))) (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000))))) (/ -1 (sqrt u1)) (sqrt u1) (/ (- 1 u1) u1) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (sin (* 314159265359/50000000000 u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))
4.0ms
u2
@0
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (/ (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000))) (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000))))) (/ -1 (sqrt u1)) (sqrt u1) (/ (- 1 u1) u1) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (sin (* 314159265359/50000000000 u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))
3.0ms
u1
@inf
((/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) 314159265359/50000000000) u2) (* (sqrt u1) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (/ (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000))) (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000))))) (/ -1 (sqrt u1)) (sqrt u1) (/ (- 1 u1) u1) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (sin (* 314159265359/50000000000 u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt (- 1 u1)) (neg (sin (* u2 314159265359/50000000000)))))

simplify207.0ms (2.2%)

Memory
-1.5MiB live, 193.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05542550
116232309
250972120
081082031
Stop Event
iter limit
node limit
Counts
128 → 127
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (sqrt u1))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(* -1 (sqrt (/ 1 u1)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ -1 (sin (* 314159265359/50000000000 u2)))
(- (* 1/2 (/ u1 (sin (* 314159265359/50000000000 u2)))) (/ 1 (sin (* 314159265359/50000000000 u2))))
(- (* u1 (+ (* 1/8 (/ u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (/ 1 (sin (* 314159265359/50000000000 u2)))))) (/ 1 (sin (* 314159265359/50000000000 u2))))
(- (* u1 (+ (* u1 (+ (* 1/16 (/ u1 (sin (* 314159265359/50000000000 u2)))) (* 1/8 (/ 1 (sin (* 314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (sin (* 314159265359/50000000000 u2)))))) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (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))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(- (/ 1 u1) 1)
(* -1 (* (sqrt u1) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))))
(* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))))
(* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (+ (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))))))
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (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))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))))))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))))))))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))))))))
(* 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))))
(* 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* -314159265359/50000000000 u2)
(* u2 (- (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) 314159265359/50000000000))
(* -98696044010906577398881/2500000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) 98696044010906577398881/2500000000000000000000))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* 98696044010906577398881/2500000000000000000000 (pow u2 2))
(* -50000000000/314159265359 (* (/ 1 u2) (sqrt (- 1 u1))))
(/ (+ (* -314159265359/300000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -50000000000/314159265359 (sqrt (- 1 u1)))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -314159265359/300000000000 (sqrt (- 1 u1)))))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -314159265359/300000000000 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- 1 u1)))))))) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sin (* 314159265359/50000000000 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (+ 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 6) (- 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (* 98696044010906577398881/2500000000000000000000 (/ 1 (pow u2 4)))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -1 (* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.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)))) u1 (*.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 (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 u1) #s(literal -1/16 binary32) #s(literal -1/2 binary32)))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 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)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(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))
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314159265359/50000000000
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(/.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/300000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -50000000000/314159265359 binary32))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -314159265359/300000000000 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- 1 u1)))))))) u2)
(/.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -217043936762141594974494696480642953/45000000000000000000000000000000000 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))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* -1 (* (pow u2 3) (+ 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(*.f32 (+.f32 (/.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 3 binary32)))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 3 binary32)))
(* (pow u2 6) (- 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (* 98696044010906577398881/2500000000000000000000 (/ 1 (pow u2 4)))))
(*.f32 (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (pow.f32 u2 #s(literal 6 binary32)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* -1 (* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(*.f32 (fma.f32 (/.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 3 binary32)))

rewrite248.0ms (2.6%)

Memory
-0.3MiB live, 277.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051390
081354
1255290
21571286
08339277
Stop Event
iter limit
node limit
iter limit
Counts
28 → 958
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #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 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
(-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(sqrt.f32 u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
#s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
(*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
#s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))) (+.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))
(+.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) u1) u1))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 (/.f32 #s(literal -1 binary32) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)))
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) u1) u1))
#s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
(*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
(*.f32 u2 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
#s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (neg.f32 (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) u2)) u2)
(*.f32 (neg.f32 (*.f32 (neg.f32 u2) u2)) #s(literal 98696044010906577398881/2500000000000000000000 binary32))
(*.f32 (*.f32 (neg.f32 u2) (neg.f32 u2)) #s(literal 98696044010906577398881/2500000000000000000000 binary32))
(*.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1 binary32)) (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) u2) (neg.f32 u2))
(*.f32 (*.f32 (neg.f32 u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32))
(*.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) (neg.f32 (neg.f32 u2)))
(*.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2)
(*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 (neg.f32 u2) u2))
(*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (neg.f32 (*.f32 (neg.f32 u2) u2)))
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 (neg.f32 u2) (neg.f32 u2)))
(*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))
(pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (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 #s(literal 0 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal -1 binary32)))
(neg.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(neg.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

eval164.0ms (1.7%)

Memory
12.4MiB live, 323.2MiB allocated
Compiler

Compiled 48 840 to 4 811 computations (90.1% saved)

prune97.0ms (1%)

Memory
17.0MiB live, 252.8MiB allocated
Pruning

64 alts after pruning (57 fresh and 7 done)

PrunedKeptTotal
New1 315251 340
Fresh163248
Picked325
Done055
Total1 334641 398
Accuracy
99.8%
Counts
1 398 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.2%
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.1%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
87.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))))
98.5%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.3%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))))
75.5%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1)))
98.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
96.4%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))))
80.1%
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
92.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
35.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
79.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2)))
63.2%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #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 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
87.5%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.8%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
97.6%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.5%
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
5.3%
(*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
89.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
88.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u2) #s(literal 314159265359/50000000000 binary32))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
88.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 314159265359/50000000000 binary32)) u2)) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
87.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2)) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
87.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 (+.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
79.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) #s(approx (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
86.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 #s(approx (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
88.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
80.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
88.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) u2)))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)) u2)))
87.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.2%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
(*.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))))
79.9%
(*.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))))
97.8%
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.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)))))
75.5%
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
96.2%
(*.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))))
5.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
92.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
63.2%
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
19.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(literal 314159265359/50000000000 binary32)) u2)))
64.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
64.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (*.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))))
Compiler

Compiled 4 652 to 1 793 computations (61.5% saved)

regimes285.0ms (3%)

Memory
-11.1MiB live, 394.7MiB allocated
Counts
123 → 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 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)))
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(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (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) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) #s(approx (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))))
(*.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))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (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 (sqrt.f32 u1) (*.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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (exp.f32 (*.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))) #s(literal -1/8 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 8 binary32))) #s(literal -1/16 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

53.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
39.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
35.0ms
u2
31.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1u1
98.5%1u2
98.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes261.0ms (2.7%)

Memory
7.0MiB live, 314.5MiB allocated
Counts
105 → 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 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)))
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(*.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 #s(approx (- 1 u1) #s(literal 1 binary32)) u1)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (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) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #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 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) #s(approx (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (/.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (-.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

51.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
37.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
30.0ms
u2
30.0ms
cosTheta_i
29.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1u1
98.5%1u2
98.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes170.0ms (1.8%)

Memory
-16.7MiB live, 260.5MiB allocated
Counts
62 → 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 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)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.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) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.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 (*.f32 #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 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 #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 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (*.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 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 (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #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 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 u2 (*.f32 u1 u1)) (/.f32 u2 u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) #s(approx (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (*.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 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 (+.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2)) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 314159265359/50000000000 binary32)) u2)) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u2) #s(literal 314159265359/50000000000 binary32))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

34.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
26.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
25.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
18.0ms
u2
16.0ms
u1
Results
AccuracySegmentsBranch
88.4%1cosTheta_i
88.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%2u1
93.8%2u2
92.0%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.0%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.1%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.8%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes106.0ms (1.1%)

Memory
14.9MiB live, 207.0MiB allocated
Counts
56 → 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 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)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.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) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.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 (*.f32 #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 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(approx (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 #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 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (* (* u2 314159265359/100000000000) (+ (sqrt (/ 1 u1)) (sqrt u1))) (* u1 u1))) (*.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 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 (- (* (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2)) (* 98696044010906577398881/2500000000000000000000 (* u2 u2))) (*.f32 #s(literal -98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #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 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 u2 (*.f32 u1 u1)) (/.f32 u2 u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) #s(approx (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) u2) (* u2 314159265359/50000000000)) (*.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 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 u2 (+.f32 #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2)) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 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))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 314159265359/50000000000 binary32)) u2)) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u2) #s(literal 314159265359/50000000000 binary32))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Calls

7 calls:

16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms
cosTheta_i
15.0ms
u2
15.0ms
u1
15.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
88.4%1cosTheta_i
88.4%1u1
88.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.4%1u2
88.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 21 to 33 computations (-57.1% saved)

regimes83.0ms (0.9%)

Memory
26.3MiB live, 143.3MiB allocated
Counts
32 → 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 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)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.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) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.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 (*.f32 #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 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
88.4%1u2
88.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.4%1u1
88.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.4%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes96.0ms (1%)

Memory
-9.1MiB live, 110.5MiB allocated
Counts
27 → 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 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)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(approx (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.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) (sin (* u2 314159265359/50000000000))) (sqrt (+ (* u1 u1) 1))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.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 (*.f32 #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 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 u2 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))) (*.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:

38.0ms
u2
11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
80.1%1cosTheta_i
80.1%1u1
80.1%1u2
80.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes31.0ms (0.3%)

Memory
5.2MiB live, 43.4MiB allocated
Accuracy

Total -19.2b remaining (-169.9%)

Threshold costs -19.2b (-169.9%)

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

8 calls:

15.0ms
(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 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
64.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.7%1cosTheta_i
64.7%1u1
64.7%1u2
64.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.7%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
64.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3028252422809601
0.32979732751846313
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify78.0ms (0.8%)

Memory
6.4MiB live, 79.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048163
161163
278163
392163
4117163
5166163
6233163
7609163
82817163
95301163
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/16777216 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 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)))
#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 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/16777216 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (+.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 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)))
#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)))

soundness1.1s (12%)

Memory
-27.6MiB live, 728.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040220
069202
1195192
21150192
09267192
0202815
1602725
21761652
35215599
47627598
08026569
01032
01632
14632
223732
3195432
0973432
052300
088296
1255289
21467289
08350280
07333748
122653317
268932945
085692786
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 336 to 194 computations (42.3% saved)

preprocess95.0ms (1%)

Memory
-8.4MiB live, 68.4MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 460 to 236 computations (48.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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