Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze389.0ms (4.9%)

Memory
7.9MiB live, 362.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample2.0s (25.5%)

Memory
-92.9MiB live, 2 920.4MiB allocated
Samples
1.3s8 256×0valid
13.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 414.0ms (38.4% of total)
ival-<=: 153.0ms (14.2% of total)
ival-mult: 145.0ms (13.5% of total)
ival-sin: 111.0ms (10.3% of total)
ival-div: 70.0ms (6.5% of total)
ival-sqrt: 60.0ms (5.6% of total)
ival-sub: 54.0ms (5% of total)
ival-and: 33.0ms (3.1% of total)
ival->: 29.0ms (2.7% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain116.0ms (1.5%)

Memory
7.5MiB live, 167.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f32(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))cancellation10
Confusion
Predicted +Predicted -
+11
-0254
Precision
1.0
Recall
0.5
Confusion?
Predicted +Predicted MaybePredicted -
+101
-00254
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms512×0valid
Compiler

Compiled 123 to 48 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sub: 8.0ms (22% of total)
const: 7.0ms (19.2% of total)
ival-mult: 6.0ms (16.5% of total)
ival-sin: 6.0ms (16.5% of total)
ival-div: 4.0ms (11% of total)
ival-sqrt: 3.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess52.0ms (0.7%)

Memory
3.8MiB live, 40.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178101
2132101
324399
447099
585499
6110499
7123899
8131099
9135699
10137299
11137699
01011
01611
12211
22611
33111
43811
54811
66311
78611
810811
911611
1011811
011811
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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

localize37.0ms (0.5%)

Memory
3.0MiB live, 47.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.2149951076414739
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
30.0ms256×0valid
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 8.0ms (39.8% of total)
const: 4.0ms (19.9% of total)
ival-mult: 3.0ms (14.9% of total)
ival-div: 2.0ms (9.9% of total)
ival-sqrt: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-23.4MiB live, 13.8MiB 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
6.0ms
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)))
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
@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
@-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)))

simplify186.0ms (2.4%)

Memory
13.9MiB live, 201.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202815
1602725
21745652
35203599
47613598
08018569
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))

rewrite181.0ms (2.3%)

Memory
-1.6MiB live, 246.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01632
14632
223732
3195332
0969232
Stop Event
iter limit
node limit
iter limit
Counts
6 → 521
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(*.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))))
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(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(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)))

eval59.0ms (0.8%)

Memory
10.3MiB live, 122.1MiB allocated
Compiler

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

prune32.0ms (0.4%)

Memory
-8.0MiB live, 73.3MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New53429563
Fresh000
Picked011
Done000
Total53430564
Accuracy
99.5%
Counts
564 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%
(/.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))))))
71.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
29.7%
(*.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)))
97.9%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.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)))
97.9%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.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 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
97.5%
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.3%
(*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (-.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
(*.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)))
79.1%
(*.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)))
71.6%
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
22.8%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
34.2%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.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)))
29.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.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)))
33.8%
(*.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)))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.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)))))
45.9%
(*.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)))
96.3%
(*.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)))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#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 1 095 to 863 computations (21.2% saved)

simplify144.0ms (1.8%)

Memory
32.1MiB live, 147.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff256
(/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))
cost-diff6176
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff256
(/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
cost-diff352
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff64
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff544
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045349
079397
1123397
2218340
3478340
41466292
56189292
08430283
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
u1
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))))
(/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))
u1
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(log1p.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(neg.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(log1p.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize157.0ms (2%)

Memory
21.6MiB live, 244.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy4.286111304464207
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy29.15807916695835
(log1p.f32 u1)
accuracy0.2149951076414739
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy4.286111304464207
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy0.2265625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.2734375
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.31640625
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.1875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3203125
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy6.451797970758857
#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)))
accuracy0.2149951076414739
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.4375
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
Samples
121.0ms256×0valid
Compiler

Compiled 714 to 90 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 42.0ms (45% of total)
ival-mult: 15.0ms (16.1% of total)
ival-sqrt: 11.0ms (11.8% of total)
ival-sin: 6.0ms (6.4% of total)
ival-sub: 5.0ms (5.4% of total)
const: 4.0ms (4.3% of total)
ival-exp: 3.0ms (3.2% of total)
ival-log1p: 3.0ms (3.2% of total)
ival-add: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series97.0ms (1.2%)

Memory
-17.5MiB live, 177.9MiB allocated
Counts
24 → 164
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(log1p.f32 u1)
Outputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(+ 1 (* u1 (- (* 2 u1) 1)))
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 u1))) 1)))
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
(+ (* (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) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 (pow u1 2))
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -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 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sqrt u1) (sqrt -1))
(* 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))))))
(* u1 (- 1 (/ 1 u1)))
(* u1 (- (+ 1 (/ 2 (pow u1 2))) (/ 1 u1)))
(* u1 (- (+ 1 (/ 2 (pow u1 2))) (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3))))))
(+ 1 (/ 1 u1))
(- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2)))
(+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1)))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -5/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (pow u1 2) (exp (neg (* -1 (log (/ 1 u1))))))
(* (pow u1 2) (+ (exp (neg (* -1 (log (/ 1 u1))))) (* -1 (/ (exp (neg (* -1 (log (/ 1 u1))))) u1))))
(* (pow u1 2) (+ (exp (neg (* -1 (log (/ 1 u1))))) (+ (* -1 (/ (exp (neg (* -1 (log (/ 1 u1))))) u1)) (* 2 (/ (exp (neg (* -1 (log (/ 1 u1))))) (pow u1 2))))))
(* (pow u1 2) (+ (exp (neg (* -1 (log (/ 1 u1))))) (+ (* -2 (/ (exp (neg (* -1 (log (/ 1 u1))))) (pow u1 3))) (+ (* -1 (/ (exp (neg (* -1 (log (/ 1 u1))))) u1)) (* 2 (/ (exp (neg (* -1 (log (/ 1 u1))))) (pow u1 2)))))))
(/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))
(/ (+ (/ 1 (exp (neg (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) u1)
(/ (- (+ (/ 1 (exp (neg (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (/ 1 (* (pow u1 2) (exp (neg (* -1 (log (/ 1 u1)))))))) u1)
(/ (+ (* -1 (/ (+ (/ 1 (exp (neg (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (pow u1 2))) (+ (/ 1 (exp (neg (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1))))))))) u1)
(* (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 5) (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 5) (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))) (+ (* -1/2 (* (sqrt (/ (exp (neg (* -1 (log (/ 1 u1))))) (pow u1 7))) (* (sin (* 314159265359/50000000000 u2)) (+ (* 1/4 (/ u1 (exp (neg (* -1 (log (/ 1 u1))))))) (/ 1 (exp (neg (* -1 (log (/ 1 u1)))))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (sin (* 314159265359/50000000000 u2))))))
(sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1))))))))
(+ (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (* 1/2 (sqrt (/ 1 (* (pow u1 3) (exp (neg (* -1 (log (/ 1 u1))))))))))
(+ (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (sqrt (/ 1 (* (pow u1 5) (exp (neg (* -1 (log (/ 1 u1))))))))) (* 1/2 (sqrt (/ 1 (* (pow u1 3) (exp (neg (* -1 (log (/ 1 u1)))))))))))
(+ (sqrt (/ 1 (* u1 (exp (neg (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (sqrt (/ 1 (* (pow u1 5) (exp (neg (* -1 (log (/ 1 u1))))))))) (+ (* -1/2 (* (sqrt (/ (exp (neg (* -1 (log (/ 1 u1))))) (pow u1 7))) (+ (* 1/4 (/ u1 (exp (neg (* -1 (log (/ 1 u1))))))) (/ 1 (exp (neg (* -1 (log (/ 1 u1))))))))) (* 1/2 (sqrt (/ 1 (* (pow u1 3) (exp (neg (* -1 (log (/ 1 u1))))))))))))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* 2 (/ 1 u1)) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1)) 1) u1)) 1)))
(+ 1 (* -1 (/ (- (/ 1 u1) 1) u1)))
(+ 1 (* -1 (/ (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* 5/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sin (* 314159265359/50000000000 u2))) (* -3/16 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(* (pow u1 2) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (pow u1 2) (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))))
(* (pow u1 2) (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -2 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1))))
(* (pow u1 2) (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -2 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)) (* 2 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1))))
(/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))
(/ (+ (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)) (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))
(* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 5) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (* (pow (sqrt -1) 2) (- (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (* -1/4 (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 5) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)) (* (pow (sqrt -1) 2) (- (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (* -1/4 (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
u2
@inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)) (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))) (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1)))))) (* (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (log (+ 1 u1)))
15.0ms
u1
@-inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)) (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))) (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1)))))) (* (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (log (+ 1 u1)))
13.0ms
u2
@-inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)) (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))) (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1)))))) (* (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (log (+ 1 u1)))
7.0ms
cosTheta_i
@0
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)) (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))) (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1)))))) (* (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (log (+ 1 u1)))
7.0ms
u1
@inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)) (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))) (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1)))))) (* (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (+ (* u1 u1) 1) (exp (neg (log (+ 1 u1))))))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (+ (* u1 u1) 1) (log (+ 1 u1)))

simplify230.0ms (2.9%)

Memory
-6.0MiB live, 233.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07454284
122953627
270373359
084723132
Stop Event
iter limit
node limit
Counts
164 → 163
Calls
Call 1
Inputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (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)))))))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(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))
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(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(+ 1 (* -1/2 u1))
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(+ 1 (pow u1 2))
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(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 u1)
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(sqrt -1)
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(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
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(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
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(* -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)))))))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)) (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))
(* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 5) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (* (pow (sqrt -1) 2) (- (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (* -1/4 (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow u1 5) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)) (* (pow (sqrt -1) 2) (- (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))) (* -1/4 (/ u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow u1 3) (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* u1 (exp (neg (+ (log -1) (* -1 (log (/ -1 u1))))))))) (pow (sqrt -1) 2))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (* -1 u1) 1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) u1 #s(literal -1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* 2 u1) 1)))
(fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 u1))) 1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal 2 binary32)) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))
(fma.f32 (fma.f32 (neg.f32 u1) u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
(*.f32 (fma.f32 (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) 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)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1)) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))))))))))
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(* 314159265359/50000000000 u2)
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(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
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(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ (* u1 (- (pow u1 2) 1)) (* (+ 1 (pow u1 2)) (- u1 1)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (* (exp (neg (log (+ 1 u1)))) (+ 1 (pow u1 2))))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite208.0ms (2.6%)

Memory
-40.9MiB live, 196.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045224
079200
1244151
21777150
09829148
Stop Event
iter limit
node limit
iter limit
Counts
24 → 2 179
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(log1p.f32 u1)
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (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 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.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 #s(literal 1 binary32)) u1)))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (-.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -3 binary32))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) (/.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))))))
(*.f32 (pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(*.f32 (neg.f32 (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(*.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.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)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(*.f32 (fma.f32 (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (-.f32 #s(literal -1 binary32) u1))
(/.f32 (-.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1)))) (*.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 u1)) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 u1)))) (-.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 u1))))
(/.f32 (-.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 u1)) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 u1))) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (-.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 u1)) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 (-.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1)))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (fma.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))))
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(+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal -1 binary32) u1)))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(log1p.f32 (neg.f32 u1))
(log1p.f32 u1)

eval165.0ms (2.1%)

Memory
33.5MiB live, 263.1MiB allocated
Compiler

Compiled 37 805 to 6 517 computations (82.8% saved)

prune68.0ms (0.9%)

Memory
-12.6MiB live, 149.5MiB allocated
Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New1 281361 317
Fresh101424
Picked415
Done011
Total1 295521 347
Accuracy
99.7%
Counts
1 347 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.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))))))
71.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
31.2%
(*.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)))
86.3%
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.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 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.0%
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
31.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal -1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
25.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 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)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (* u1 u1) 1) #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
(*.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)))
79.1%
(*.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)))
28.0%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.4%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
28.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.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)))))
96.3%
(*.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)))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.0%
#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))))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
78.9%
#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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
78.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#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)))
78.6%
#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)))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#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)))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
63.8%
#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))))
79.1%
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 314159265359/50000000000 binary32))) u2))
20.2%
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 2 371 to 1 872 computations (21% saved)

simplify123.0ms (1.6%)

Memory
-1.7MiB live, 158.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff352
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
cost-diff0
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
(*.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))
cost-diff0
#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)))
cost-diff224
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 u1) u2)
cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff544
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043371
071383
1120380
2266358
3827350
42830308
56566302
08093299
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.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 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
#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)))
(*.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))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(literal -1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
u1
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) u1)
#s(literal -1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.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))) (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.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))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(literal -1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
u1
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 3 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize191.0ms (2.4%)

Memory
23.8MiB live, 135.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
accuracy0.296875
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.42025375976844204
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
accuracy0.2149951076414739
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy8.358254783228332
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.3203125
(*.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))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37337875976844204
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy6.451797970758857
#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)))
accuracy0.2578125
(*.f32 (sqrt.f32 u1) u2)
accuracy0.37337875976844204
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy6.451797970758857
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
accuracy8.308991242498616
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.2149951076414739
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.31640625
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.4375
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))
Samples
165.0ms256×0valid
Compiler

Compiled 698 to 84 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-mult: 110.0ms (74.4% of total)
ival-div: 14.0ms (9.5% of total)
ival-sqrt: 8.0ms (5.4% of total)
ival-sub: 5.0ms (3.4% of total)
const: 4.0ms (2.7% of total)
ival-sin: 3.0ms (2% of total)
ival-add: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-9.6MiB live, 35.6MiB allocated
Counts
23 → 121
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.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 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#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)))
(*.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))
(neg.f32 (sqrt.f32 u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
Outputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 (sqrt u1))
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -2 u1))) 1)
(- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (sqrt u1) (sqrt (pow u1 3)))
(+ (sqrt u1) (* u1 (+ (sqrt u1) (* u1 (+ (sqrt u1) (* 1/2 (sqrt (/ 1 u1))))))))
(+ (sqrt u1) (* u1 (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (sqrt u1) (* 1/2 (sqrt (/ 1 u1)))))))))))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(+ 1 (* -3 u1))
(+ 1 (* u1 (- (* 4 u1) 3)))
(+ 1 (* u1 (- (* u1 (+ 4 (* -4 u1))) 3)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
(* -1 (sin (* 314159265359/50000000000 u2)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))))))))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))))))))))))
(* -1 (+ 1 (* 3/2 (/ 1 u1))))
(- (* -1 (/ (+ 3/2 (* 11/8 (/ 1 u1))) u1)) 1)
(- (* -1 (/ (+ 11/8 (* 23/16 (/ 1 u1))) (pow u1 2))) (+ 1 (* 3/2 (/ 1 u1))))
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
u1
(* u1 (- 1 (* 3 (/ 1 u1))))
(* u1 (- (+ 1 (/ 4 (pow u1 2))) (* 3 (/ 1 u1))))
(* u1 (- (+ 1 (/ 4 (pow u1 2))) (+ (* 3 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 3/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/2 (sin (* 314159265359/50000000000 u2))) (* -11/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/2 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* 11/8 (sin (* 314159265359/50000000000 u2))) (* 23/16 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1))) u1)))
(+ 1 (* 3/2 (/ 1 u1)))
(+ 1 (+ (* 3/2 (/ 1 u1)) (/ 11/8 (pow u1 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 11/8 (* 23/16 (/ 1 u1))) u1)) 3/2) u1)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(* -1 (* u1 (- (* 3 (/ 1 u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* 4 (/ 1 u1)) 3) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 u1)) 4) u1)) 3) u1)) 1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* 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 (- (pow u1 2) 1)) (- u1 1))) (/ u2 (- 1 u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1))))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (sin (* 314159265359/50000000000 u2)) (- 1 u1)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
u1
@inf
((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -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) (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (neg (sqrt u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (* 314159265359/50000000000 u2) (* (- 1 u1) (- 1 u1)) (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))
4.0ms
u2
@inf
((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -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) (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (neg (sqrt u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (* 314159265359/50000000000 u2) (* (- 1 u1) (- 1 u1)) (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))
4.0ms
u2
@-inf
((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -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) (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (neg (sqrt u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (* 314159265359/50000000000 u2) (* (- 1 u1) (- 1 u1)) (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))
3.0ms
u1
@-inf
((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -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) (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (neg (sqrt u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (* 314159265359/50000000000 u2) (* (- 1 u1) (- 1 u1)) (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))
3.0ms
u2
@0
((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -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) (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (neg (sqrt u1)) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (neg (sqrt u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (sin (* 314159265359/50000000000 u2)) (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (* 314159265359/50000000000 u2) (* (- 1 u1) (- 1 u1)) (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))

simplify191.0ms (2.4%)

Memory
-14.0MiB live, 177.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452580
116912318
253232298
082862156
Stop Event
iter limit
node limit
Counts
121 → 120
Calls
Call 1
Inputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 (sqrt u1))
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -2 u1))) 1)
(- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (sqrt u1) (sqrt (pow u1 3)))
(+ (sqrt u1) (* u1 (+ (sqrt u1) (* u1 (+ (sqrt u1) (* 1/2 (sqrt (/ 1 u1))))))))
(+ (sqrt u1) (* u1 (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (sqrt u1) (* 1/2 (sqrt (/ 1 u1)))))))))))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(+ 1 (* -3 u1))
(+ 1 (* u1 (- (* 4 u1) 3)))
(+ 1 (* u1 (- (* u1 (+ 4 (* -4 u1))) 3)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
(* -1 (sin (* 314159265359/50000000000 u2)))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))))))))
(+ (* -1 (sin (* 314159265359/50000000000 u2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))))))))))))
(* -1 (+ 1 (* 3/2 (/ 1 u1))))
(- (* -1 (/ (+ 3/2 (* 11/8 (/ 1 u1))) u1)) 1)
(- (* -1 (/ (+ 11/8 (* 23/16 (/ 1 u1))) (pow u1 2))) (+ 1 (* 3/2 (/ 1 u1))))
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
u1
(* u1 (- 1 (* 3 (/ 1 u1))))
(* u1 (- (+ 1 (/ 4 (pow u1 2))) (* 3 (/ 1 u1))))
(* u1 (- (+ 1 (/ 4 (pow u1 2))) (+ (* 3 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 3/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/2 (sin (* 314159265359/50000000000 u2))) (* -11/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/2 (sin (* 314159265359/50000000000 u2))) (* -1 (/ (+ (* 11/8 (sin (* 314159265359/50000000000 u2))) (* 23/16 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1))) u1)))
(+ 1 (* 3/2 (/ 1 u1)))
(+ 1 (+ (* 3/2 (/ 1 u1)) (/ 11/8 (pow u1 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 11/8 (* 23/16 (/ 1 u1))) u1)) 3/2) u1)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(* -1 (* u1 (- (* 3 (/ 1 u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* 4 (/ 1 u1)) 3) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 u1)) 4) u1)) 3) u1)) 1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* 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 (- (pow u1 2) 1)) (- u1 1))) (/ u2 (- 1 u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1))))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (sin (* 314159265359/50000000000 u2)) (- 1 u1)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
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(*.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 (- (pow u1 2) 1)) (- u1 1))) (/ u2 (- 1 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 (/.f32 u2 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (/.f32 u2 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (pow u2 2) (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ 1 (- 1 u1))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (/.f32 u2 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/50000000000 binary32))) u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ (* u1 (- (pow u1 2) 1)) (- u1 1))) (/ (sin (* 314159265359/50000000000 u2)) (- 1 u1)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))))

rewrite158.0ms (2%)

Memory
26.6MiB live, 211.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043271
071263
1221232
21544209
08925207
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 058
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.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 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#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)))
(*.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))
(neg.f32 (sqrt.f32 u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))
Outputs
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (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 #s(literal 1 binary32) (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
(*.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -3 binary32))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal 4 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)) (/.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (fma.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 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32))))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) 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 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u1) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))))) (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32)))))
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(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (*.f32 u1 u1)))
(+.f32 (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (*.f32 u1 u1)) (*.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (neg.f32 u1) u1)))
(+.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (*.f32 u1 u1)))
(+.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (pow.f32 u1 #s(literal 4 binary32))))
(+.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (pow.f32 u1 #s(literal 4 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))))
(+.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(+.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(+.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) u1))
(neg.f32 (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (-.f32 u1 #s(literal -1 binary32)))))

eval206.0ms (2.6%)

Memory
16.1MiB live, 258.2MiB allocated
Compiler

Compiled 31 460 to 5 186 computations (83.5% saved)

prune74.0ms (0.9%)

Memory
-1.8MiB live, 194.8MiB allocated
Pruning

58 alts after pruning (52 fresh and 6 done)

PrunedKeptTotal
New1 037221 059
Fresh153045
Picked145
Done022
Total1 053581 111
Accuracy
99.8%
Counts
1 111 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.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))))))
71.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
29.8%
(*.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)))
96.1%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.5%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
27.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.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)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (* u1 u1) 1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
(*.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)))
79.1%
(*.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)))
29.4%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.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)))))
96.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (+.f32 u1 #s(literal 0 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.2%
(*.f32 #s(approx (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (+.f32 (/.f32 #s(literal 3/2 binary32) u1) #s(literal 1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
78.9%
#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))))
79.0%
#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))))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
78.9%
#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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
78.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
78.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 (neg.f32 u1) (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#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)))
79.1%
#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))
78.6%
#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)))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#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)))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
63.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
63.8%
#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))))
63.8%
#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)))
20.2%
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 2 529 to 2 031 computations (19.7% saved)

simplify134.0ms (1.7%)

Memory
-5.9MiB live, 106.7MiB 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 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff224
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 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) #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-diff96
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff96
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff864
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff1376
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048415
082374
1148352
2337335
31162330
43434330
55926330
67777330
08091330
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(literal 0 binary32)
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #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))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1)))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 u1) (neg.f32 u1))
(sqrt.f32 u1)
u1
(neg.f32 u1)
(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(literal -1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
Outputs
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.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))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))
#s(literal 0 binary32)
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #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))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.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))) (*.f32 (/.f32 (/.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (/.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1)))
(/.f32 (neg.f32 u1) (sqrt.f32 u1))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 u1) (neg.f32 u1))
(sqrt.f32 u1)
u1
(neg.f32 u1)
(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(literal -1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(/.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)

localize187.0ms (2.4%)

Memory
3.2MiB live, 270.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(/.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))))))
accuracy0.25
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.3203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.40462875976844204
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.3203125
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.37337875976844204
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy6.451797970758857
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.25
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy0.31640625
(*.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)))
accuracy3.1411847774937733
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy6.5798496364731305
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
accuracy0.2734375
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy0.35841752930532605
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy6.451797970758857
#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)))
accuracy8.308991242498616
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy0.31640625
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.515625
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
accuracy0.5599212890737681
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Samples
143.0ms256×0valid
Compiler

Compiled 772 to 93 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 37.0ms (47.4% of total)
ival-div: 12.0ms (15.4% of total)
const: 8.0ms (10.2% of total)
ival-sqrt: 7.0ms (9% of total)
ival-sin: 6.0ms (7.7% of total)
ival-sub: 3.0ms (3.8% of total)
ival-add: 2.0ms (2.6% of total)
ival-neg: 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)

series35.0ms (0.4%)

Memory
10.3MiB live, 61.4MiB allocated
Counts
26 → 132
Calls
Call 1
Inputs
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #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)
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(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)
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (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
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (* -1 u1) 1))
(* u1 (- (* u1 (- (* -1 u1) 1)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1))
(* -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) (- (* u1 (- (* -1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))) (sqrt u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (sqrt u1))
1
(+ 1 (* -1 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)
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ 1 (/ 1 u1))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3)))))
(* -1 (sqrt -1))
(- (* 1/2 (/ 1 (* u1 (sqrt -1)))) (sqrt -1))
(- (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))) (sqrt -1))
(- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))) (+ (sqrt -1) (* -1/2 (/ (+ 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)))) (* (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))))))
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sqrt -1))
(* 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))))))
(pow (sqrt -1) 2)
(+ (/ (pow (sqrt -1) 2) u1) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (pow (sqrt -1) 2) u1)) (pow (sqrt -1) 2)) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) u1) (* -1 (pow (sqrt -1) 2))) u1)) (pow (sqrt -1) 2)) 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 (pow (sqrt -1) 2))
(- (* -1 (/ (pow (sqrt -1) 2) u1)) (pow (sqrt -1) 2))
(- (* -1 (/ (+ (/ (pow (sqrt -1) 2) u1) (pow (sqrt -1) 2)) u1)) (pow (sqrt -1) 2))
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) u1)) (* -1 (pow (sqrt -1) 2))) u1)) (pow (sqrt -1) 2)) u1)) (pow (sqrt -1) 2))
(- (* -1/2 (/ (sqrt -1) u1)) (sqrt -1))
(- (* -1 (/ (- (* 3/8 (/ (sqrt -1) u1)) (* -1/2 (sqrt -1))) u1)) (sqrt -1))
(- (* -1 (/ (- (* -1 (/ (- (* -5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1))))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 3/8 (/ 1 (* u1 (sqrt -1))))) u1)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (/ 5/16 (* (pow u1 2) (sqrt -1))) (+ (/ 3/8 (* u1 (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))) u1)) (/ 1 (sqrt -1)))
(* -314159265359/50000000000 (/ u2 (sqrt -1)))
(+ (* -314159265359/50000000000 (/ u2 (sqrt -1))) (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))))
(+ (* -314159265359/50000000000 (/ u2 (sqrt -1))) (* -1 (/ (+ (* 942477796077/400000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)))
(+ (* -314159265359/50000000000 (/ u2 (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* -314159265359/160000000000 (/ u2 (* u1 (sqrt -1))))) u1)) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)))
(* -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 (- 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 (+ (* -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)
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 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 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(sin (* 314159265359/50000000000 u2))
(* -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 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
u1
@-inf
((* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1))))) (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 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) (/ 1 (/ (sqrt u1) (neg u1))) (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (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)))))
5.0ms
u1
@inf
((* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1))))) (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 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) (/ 1 (/ (sqrt u1) (neg u1))) (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (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)))))
4.0ms
u2
@inf
((* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1))))) (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 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) (/ 1 (/ (sqrt u1) (neg u1))) (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (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)))))
3.0ms
u2
@-inf
((* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1))))) (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 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) (/ 1 (/ (sqrt u1) (neg u1))) (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (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)))))
3.0ms
u1
@0
((* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1))))) (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 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) (/ 1 (/ (sqrt u1) (neg u1))) (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (/ 1 (/ (sqrt u1) (neg u1))) (/ -1 (sqrt (- 1 u1)))) (* 314159265359/50000000000 u2)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (/ (- 0 (* (neg (sqrt (/ u1 (- 1 u1)))) (neg (sqrt (/ u1 (- 1 u1)))))) (+ 0 (neg (sqrt (/ u1 (- 1 u1)))))) (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)))))

simplify184.0ms (2.3%)

Memory
7.9MiB live, 234.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05542476
116642225
251412204
081372102
Stop Event
iter limit
node limit
Counts
132 → 131
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (* -1 u1) 1))
(* u1 (- (* u1 (- (* -1 u1) 1)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1))
(* -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) (- (* u1 (- (* -1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))) (sqrt u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (sqrt u1))
1
(+ 1 (* -1 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)
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ 1 (/ 1 u1))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3)))))
(* -1 (sqrt -1))
(- (* 1/2 (/ 1 (* u1 (sqrt -1)))) (sqrt -1))
(- (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))) (sqrt -1))
(- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))) (+ (sqrt -1) (* -1/2 (/ (+ 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)))) (* (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))))))
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sqrt -1))
(* 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))))))
(pow (sqrt -1) 2)
(+ (/ (pow (sqrt -1) 2) u1) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (pow (sqrt -1) 2) u1)) (pow (sqrt -1) 2)) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) u1) (* -1 (pow (sqrt -1) 2))) u1)) (pow (sqrt -1) 2)) 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 (pow (sqrt -1) 2))
(- (* -1 (/ (pow (sqrt -1) 2) u1)) (pow (sqrt -1) 2))
(- (* -1 (/ (+ (/ (pow (sqrt -1) 2) u1) (pow (sqrt -1) 2)) u1)) (pow (sqrt -1) 2))
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) u1)) (* -1 (pow (sqrt -1) 2))) u1)) (pow (sqrt -1) 2)) u1)) (pow (sqrt -1) 2))
(- (* -1/2 (/ (sqrt -1) u1)) (sqrt -1))
(- (* -1 (/ (- (* 3/8 (/ (sqrt -1) u1)) (* -1/2 (sqrt -1))) u1)) (sqrt -1))
(- (* -1 (/ (- (* -1 (/ (- (* -5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1))))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 3/8 (/ 1 (* u1 (sqrt -1))))) u1)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (/ 5/16 (* (pow u1 2) (sqrt -1))) (+ (/ 3/8 (* u1 (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))) u1)) (/ 1 (sqrt -1)))
(* -314159265359/50000000000 (/ u2 (sqrt -1)))
(+ (* -314159265359/50000000000 (/ u2 (sqrt -1))) (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))))
(+ (* -314159265359/50000000000 (/ u2 (sqrt -1))) (* -1 (/ (+ (* 942477796077/400000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)))
(+ (* -314159265359/50000000000 (/ u2 (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -942477796077/400000000000 (/ u2 (sqrt -1))) (* -314159265359/160000000000 (/ u2 (* u1 (sqrt -1))))) u1)) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)))
(* -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 (- 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 (+ (* -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)
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 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 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(sin (* 314159265359/50000000000 u2))
(* -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 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1 u1) 1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(* u1 (- (* u1 (- (* -1 u1) 1)) 1))
(*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1))
(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32)) u1)
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(- (* -1/2 (sqrt (pow u1 3))) (sqrt u1))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1)))
(- (* (pow u1 2) (- (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))) (sqrt u1))
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 u1))
(- (* (pow u1 2) (- (* u1 (- (* -1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))) (sqrt u1))
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)) (sqrt.f32 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u2 u2) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) u1 #s(literal -1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (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) (/.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) 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)
(/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) u1) u1 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32)))) (/.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) u1)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (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))))
(-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (/.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)))
(+ 1 (/ 1 u1))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal -1 binary32))
(+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3)))))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal -1 binary32)) u1) #s(literal -1 binary32))
(* -1 (sqrt -1))
(neg.f32 (sqrt.f32 #s(literal -1 binary32)))
(- (* 1/2 (/ 1 (* u1 (sqrt -1)))) (sqrt -1))
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(-.f32 (*.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal -314159265359/50000000000 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal 314159265359/100000000000 binary32)) (/.f32 (fma.f32 #s(literal -314159265359/160000000000 binary32) (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))) #s(literal -942477796077/400000000000 binary32))) u1)) u1))
(* -1 (* (sqrt u1) (sqrt -1)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)
(* -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))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 u1))
(* -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)))))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 u1))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(- (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(+ (* -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))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) u1))
(+ (* -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))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (/.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) u2) u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(* 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)
(* 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 (fma.f32 (*.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)
(/ (+ (* 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 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 314159265359/300000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.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)) #s(literal 50000000000/314159265359 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.f32 (*.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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)
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* -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 u2 #s(literal 314159265359/50000000000 binary32))))
(* -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)))

rewrite120.0ms (1.5%)

Memory
12.3MiB live, 135.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048329
082265
1254247
01569247
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 563
Calls
Call 1
Inputs
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #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)
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(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)
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)
(*.f32 #s(literal -1 binary32) (/.f32 u1 (+.f32 #s(literal -1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) u1)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32)))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(/.f32 (*.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (neg.f32 u1) (+.f32 #s(literal -1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (neg.f32 (+.f32 #s(literal -1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) u1)))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1 #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 u1 (+.f32 #s(literal -1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) #s(literal 0 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) u1)))
(neg.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)))
(/.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 #s(literal -1 binary32) u1)))
(/.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)))
(/.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (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)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) #s(literal 1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 0 binary32))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(+.f32 #s(literal 0 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(pow.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (neg.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))

eval137.0ms (1.7%)

Memory
-29.5MiB live, 181.8MiB allocated
Compiler

Compiled 19 909 to 2 529 computations (87.3% saved)

prune76.0ms (1%)

Memory
15.1MiB live, 138.3MiB allocated
Pruning

55 alts after pruning (47 fresh and 8 done)

PrunedKeptTotal
New62920649
Fresh202747
Picked325
Done066
Total65255707
Accuracy
99.9%
Counts
707 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.1%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
98.0%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.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))))))
98.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
78.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
71.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.4%
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.1%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.2%
(*.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.4%
(*.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)))))
98.1%
(*.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
26.7%
(*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (* u1 u1) 1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(*.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)))))
79.1%
(*.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)))
88.7%
(*.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) (pow.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32))) (-.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))) u2)))
89.2%
(*.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)))
88.9%
(*.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)))
5.2%
(*.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)))
71.5%
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
96.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
78.9%
#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))))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.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) (neg.f32 u1)))))
79.0%
#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))))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
78.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
79.1%
#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)))
79.1%
#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))
78.6%
#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)))
71.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%
#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)))
62.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
63.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
63.8%
#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))))
63.8%
#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)))
20.2%
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 3 671 to 1 491 computations (59.4% saved)

regimes252.0ms (3.2%)

Memory
-10.3MiB live, 429.6MiB allocated
Counts
108 → 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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (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 (/.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 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.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 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) (pow.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (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 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (-.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

43.0ms
u2
31.0ms
cosTheta_i
30.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
29.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
29.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.3%1cosTheta_i
98.3%1u1
98.3%1u2
98.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes220.0ms (2.8%)

Memory
-8.2MiB live, 149.9MiB allocated
Counts
48 → 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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (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 (/.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 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) 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 (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)))
(*.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 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 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 (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))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (*.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 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
(*.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 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #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))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 (neg.f32 u1) (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))) (/.f32 (*.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) (neg.f32 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 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 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 (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))) (fma.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.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))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (* (/ (* (- 1 u1) (- 1 u1)) (+ -1 (* u1 u1))) (- u1 1)))) (+.f32 (/.f32 #s(literal 3/2 binary32) u1) #s(literal 1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

92.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
34.0ms
u2
25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
cosTheta_i
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
89.2%1cosTheta_i
89.2%1u1
93.0%2u2
89.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.0%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes128.0ms (1.6%)

Memory
34.5MiB live, 148.7MiB allocated
Counts
43 → 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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (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 (/.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 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) 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 (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)))
(*.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 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 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 (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))) (*.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (*.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 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) u2) #s(literal 50000000000/314159265359 binary32))))
(*.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 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #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))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 (neg.f32 u1) (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))) (/.f32 (*.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) (neg.f32 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 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 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 (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))) (fma.f32 (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) (neg.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))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (* (/ (+ (* u1 u1) 1) (+ -1 (* u1 u1))) (- u1 1)))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #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)) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

28.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
u1
14.0ms
u2
11.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
89.2%1cosTheta_i
89.2%1u1
89.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.2%1u2
89.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes57.0ms (0.7%)

Memory
-29.0MiB live, 86.3MiB allocated
Counts
19 → 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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (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 (/.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 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) 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 (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)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
Calls

8 calls:

8.0ms
cosTheta_i
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
u2
6.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
79.2%1cosTheta_i
79.2%1u1
79.2%1u2
79.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
79.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes39.0ms (0.5%)

Memory
-2.1MiB live, 36.8MiB allocated
Counts
9 → 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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

13.0ms
u1
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
79.1%1u1
79.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.1%1cosTheta_i
79.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
79.1%1u2
79.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
79.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes20.0ms (0.3%)

Memory
26.2MiB live, 26.2MiB allocated
Counts
5 → 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)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (/.f32 u1 (sqrt.f32 u1)) u2) #s(literal 314159265359/50000000000 binary32))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u2
Results
AccuracySegmentsBranch
63.9%1u1
63.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.9%1cosTheta_i
63.9%1u2
63.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes35.0ms (0.5%)

Memory
-26.1MiB live, 22.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

24.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
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
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
63.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.8%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.8%1u1
63.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.8%1cosTheta_i
63.8%1u2
63.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes11.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
63.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.8%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.8%1cosTheta_i
63.8%1u1
63.8%1u2
63.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.1999898999929428
0.2169613540172577
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify28.0ms (0.4%)

Memory
-16.6MiB live, 56.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047200
166200
270200
372200
473200
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/67108864 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))) (*.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)) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/67108864 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))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 13421773/67108864 binary32)) (*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.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)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (+.f32 (*.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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 314159265359/50000000000 binary32)))
#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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))

soundness924.0ms (11.7%)

Memory
1.4MiB live, 673.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048329
082265
1254247
01569247
07454284
122953627
270373359
084723132
045224
079200
1244151
21777150
09829148
043271
071263
1221232
21544209
08925207
0202815
1602725
21745652
35203599
47613598
08018569
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
iter limit
node limit
iter limit
Compiler

Compiled 306 to 160 computations (47.7% saved)

preprocess157.0ms (2%)

Memory
-11.0MiB live, 117.0MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 686 to 386 computations (43.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...