Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze296.0ms (4.1%)

Memory
7.9MiB live, 564.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.8s (25.4%)

Memory
36.9MiB live, 2 312.6MiB allocated
Samples
1.4s8 256×0valid
0.0ms3×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 405.0ms (35.4% of total)
ival-sqrt: 148.0ms (12.9% of total)
ival-<=: 148.0ms (12.9% of total)
ival-sin: 139.0ms (12.2% of total)
ival-mult: 109.0ms (9.5% of total)
ival-div: 74.0ms (6.5% of total)
ival-sub: 50.0ms (4.4% of total)
ival-and: 34.0ms (3% of total)
ival->: 27.0ms (2.4% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain224.0ms (3.1%)

Memory
-0.4MiB live, 114.0MiB 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 -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms512×0valid
Compiler

Compiled 123 to 48 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 7.0ms (22.3% of total)
const: 7.0ms (22.3% of total)
ival-mult: 6.0ms (19.1% of total)
ival-div: 4.0ms (12.7% of total)
ival-sub: 3.0ms (9.5% of total)
ival-sqrt: 3.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess88.0ms (1.2%)

Memory
-16.1MiB live, 34.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178101
2148101
332899
477899
5175299
6404699
7643999
01011
01611
12211
22611
33411
44711
57911
613411
728411
838611
940411
1042811
1142911
042911
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB 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)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize63.0ms (0.9%)

Memory
7.2MiB live, 42.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.2017338132413075
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33984375
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
56.0ms256×0valid
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 35.0ms (74.2% of total)
const: 4.0ms (8.5% of total)
ival-sin: 3.0ms (6.4% of total)
ival-div: 2.0ms (4.2% of total)
ival-sqrt: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 30
Calls
Call 1
Inputs
(*.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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* 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
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (/ u1 (- 1 u1)))
1.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (/ u1 (- 1 u1)))
1.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (/ u1 (- 1 u1)))
1.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (/ u1 (- 1 u1)))
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (/ u1 (- 1 u1)))

simplify64.0ms (0.9%)

Memory
-17.1MiB live, 20.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150604
0529570
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
30 → 29
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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* 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))))
(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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1)) (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 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)))) (* (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)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (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)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -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)) (neg.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) 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 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 5/16 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #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 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.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 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #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))

rewrite144.0ms (2%)

Memory
-5.0MiB live, 78.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
01623
14723
224323
0206223
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 95
Calls
Call 1
Inputs
(*.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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Outputs
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (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 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 u1 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.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 u1 #s(literal 1 binary32))) u1)
(*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (/.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 u1 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (*.f32 u1 (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 u1 (-.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 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(fma.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(+.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(+.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1))
(+.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))

eval12.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated
Compiler

Compiled 2 769 to 535 computations (80.7% saved)

prune16.0ms (0.2%)

Memory
2.4MiB live, 41.0MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New10420124
Fresh000
Picked011
Done000
Total10421125
Accuracy
99.5%
Counts
125 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶98.1%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
▶97.8%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
97.8%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.1%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
98.0%
(*.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)))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.6%
(*.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)))
79.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
79.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
▶98.3%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) 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))))
97.9%
(*.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)))))
▶79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
▶79.4%
#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))
75.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
Compiler

Compiled 725 to 619 computations (14.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize108.0ms (1.5%)

Memory
1.5MiB live, 224.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(/.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))))))
accuracy0.28515625
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.33203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.3366012695368841
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.1640625
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy0.2017338132413075
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.33203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.38900375976844204
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.3203125
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.3912887695368841
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))
accuracy3.7163074594333336
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
accuracy6.424556366935761
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)))
accuracy0.12890625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.28515625
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy0.3912887695368841
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))
accuracy6.276151935194656
#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))
accuracy0.2017338132413075
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.25
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33984375
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
81.0ms256×0valid
Compiler

Compiled 590 to 74 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 15.0ms (26.1% of total)
ival-div: 13.0ms (22.6% of total)
ival-sqrt: 12.0ms (20.8% of total)
const: 8.0ms (13.9% of total)
ival-sin: 7.0ms (12.2% of total)
ival-add: 1.0ms (1.7% of total)
ival-sub: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
-18.7MiB live, 70.7MiB allocated
Counts
18 → 107
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(sin.f32 (*.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))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
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u1
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(* (sqrt u1) (pow u2 2))
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(/ 1 u1)
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-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (sqrt -1))
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(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
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(* (pow u2 2) (sqrt -1))
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(+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1))))
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(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
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(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
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(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -942477796077/400000000000 (/ (sqrt -1) u1))) u1)) (* 314159265359/50000000000 (sqrt -1)))
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(+ (* -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))))
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(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* -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))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* (sqrt (/ u1 (- 1 u1))) (pow u2 2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* 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)))
(sin (* 314159265359/50000000000 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
Calls

9 calls:

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

simplify104.0ms (1.5%)

Memory
-8.5MiB live, 135.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05282772
019342616
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
107 → 106
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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* 314159265359/50000000000 (sqrt u1))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt u1)) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(* (sqrt u1) (pow u2 2))
(+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))
(+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(* (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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (sqrt -1))
(- (* 314159265359/50000000000 (sqrt -1)) (* 314159265359/100000000000 (/ 1 (* u1 (sqrt -1)))))
(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (sqrt -1)))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 314159265359/50000000000 (sqrt -1)))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 314159265359/50000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 314159265359/50000000000 (sqrt -1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(- (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 314159265359/50000000000 (sqrt -1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 314159265359/100000000000 (* u1 (sqrt -1))))
(* (pow u2 2) (sqrt -1))
(+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))
(+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1))))
(+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))
(- (/ 1 u1) 1)
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(+ (* 1/2 (/ (* (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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 314159265359/100000000000 (/ (sqrt -1) u1)) (* 314159265359/50000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -942477796077/400000000000 (/ (sqrt -1) u1))) u1)) (* 314159265359/50000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* -1 (/ (+ (* 314159265359/160000000000 (/ (sqrt -1) u1)) (* 942477796077/400000000000 (sqrt -1))) u1))) u1)) (* 314159265359/50000000000 (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))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 942477796077/400000000000 (sqrt -1))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/100000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -314159265359/160000000000 (sqrt -1)) (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 942477796077/400000000000 (sqrt -1)))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 314159265359/50000000000 (sqrt -1))))
(+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 3/8 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (* (pow u2 2) (sqrt -1)))) u1)) (* (pow u2 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 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (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))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* (sqrt (/ u1 (- 1 u1))) (pow u2 2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* 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)))
(sin (* 314159265359/50000000000 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(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 (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)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.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 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.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))))
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* 314159265359/50000000000 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(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)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt u1)) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #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)))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) u2) #s(literal 314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) #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 #s(literal 314159265359/100000000000 binary32) (fma.f32 (sqrt.f32 u1) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u2) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) u1 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2) #s(literal 314159265359/100000000000 binary32))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1)))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32))) u1 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) u1 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (pow u2 2))
(*.f32 (*.f32 u2 u2) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 u2 u2) (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 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)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
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(* 314159265359/50000000000 u2)
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(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.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 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) (*.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 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) (*.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.f32 u2 u2) (*.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)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

rewrite193.0ms (2.7%)

Memory
-4.5MiB live, 313.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037192
062184
1173184
2922172
08396170
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 071
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(sin.f32 (*.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))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.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 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 (*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))))
(*.f32 (neg.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 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 (sqrt.f32 u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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)))))
(/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
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(/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (*.f32 (sin.f32 (*.f32 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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(pow.f32 (exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32))
(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))
(fabs.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

eval182.0ms (2.6%)

Memory
30.1MiB live, 222.4MiB allocated
Compiler

Compiled 30 236 to 4 037 computations (86.6% saved)

prune114.0ms (1.6%)

Memory
-13.3MiB live, 188.5MiB allocated
Pruning

50 alts after pruning (49 fresh and 1 done)

PrunedKeptTotal
New1 026451 071
Fresh11415
Picked505
Done011
Total1 042501 092
Accuracy
99.8%
Counts
1 092 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
98.0%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.1%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 u1) (+.f32 u1 #s(literal 1 binary32))))))
▶98.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
96.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
75.7%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) 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)))))
89.4%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
98.1%
(/.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))))))
97.5%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
▶97.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
98.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
79.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
79.2%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 50000000000/314159265359 binary32))))
98.2%
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
98.1%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
97.6%
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
97.6%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
97.7%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
✓98.3%
(*.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 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
79.4%
#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))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.6%
#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))))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
▶87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
79.4%
#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)))
79.6%
#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)))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
75.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
▶64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 2 153 to 1 733 computations (19.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize150.0ms (2.1%)

Memory
7.3MiB live, 205.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
accuracy0.2890625
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy0.33203125
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
accuracy0.14128142682900036
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
accuracy0.2017338132413075
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.33203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.38900375976844204
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
accuracy0.24609375
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2)
accuracy0.30078125
(*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2)
accuracy0.3912887695368841
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32)))
accuracy3.7163074594333336
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
accuracy0.2890625
(*.f32 (sqrt.f32 u1) u2)
accuracy0.38509750976844204
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy6.276151935194656
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
accuracy7.678416366445966
#s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.2017338132413075
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.24609375
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33984375
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
100.0ms256×0valid
Compiler

Compiled 562 to 96 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 26.0ms (33.1% of total)
ival-div: 13.0ms (16.5% of total)
ival-sub: 12.0ms (15.3% of total)
ival-sin: 10.0ms (12.7% of total)
const: 10.0ms (12.7% of total)
ival-sqrt: 8.0ms (10.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.8%)

Memory
-7.4MiB live, 107.8MiB allocated
Counts
20 → 142
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #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)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.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))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32)))
(*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
Outputs
(* (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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (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) u2)
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* -314159265359/50000000000 u2)))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/8 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* -314159265359/50000000000 u2)))))))))) u1)
(/ 1 (sin (* -314159265359/50000000000 u2)))
(+ (* -1/2 (/ u1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))))
(+ (* u1 (- (* -1/8 (/ u1 (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ 1 (sin (* -314159265359/50000000000 u2)))))) (/ 1 (sin (* -314159265359/50000000000 u2))))
(+ (* u1 (- (* u1 (- (* -1/16 (/ u1 (sin (* -314159265359/50000000000 u2)))) (* 1/8 (/ 1 (sin (* -314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (sin (* -314159265359/50000000000 u2)))))) (/ 1 (sin (* -314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2))))
(+ (* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (pow u1 3)) (sin (* -314159265359/50000000000 u2)))))
(+ (* -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)))))))
(+ (* -1 (* (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)))))))))
(* (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
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(+ (* -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) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(- (/ 1 u1) 1)
(* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
(- (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))))
(- (+ (* -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 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/8 (/ 1 (* (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 u1) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))))))
(* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(+ (* -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 (* (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)))))))
(+ (* -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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(/ -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(- (* 1/2 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))
(- (+ (/ 1/8 (* (pow u1 2) (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) (/ 1/2 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))
(- (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* 1/8 (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* 1/2 (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* (sqrt u1) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))))))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* -314159265359/50000000000 u2)
(* -50000000000/314159265359 (* (/ 1 u2) (sqrt (- 1 u1))))
(/ (+ (* -314159265359/300000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -50000000000/314159265359 (sqrt (- 1 u1)))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -314159265359/300000000000 (sqrt (- 1 u1)))))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -314159265359/300000000000 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- 1 u1)))))))) u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* -1 (* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(* (/ 1 (sin (* -314159265359/50000000000 u2))) (sqrt (- 1 u1)))
(* -1 (* (sqrt (/ u1 (- 1 u1))) (sin (* -314159265359/50000000000 u2))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
u2
@0
((* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (sin (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) (* (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) u2) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (- (/ 1 u1) 1) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2)))) (* -314159265359/50000000000 u2) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))))))
12.0ms
u1
@inf
((* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (sin (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) (* (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) u2) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (- (/ 1 u1) 1) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2)))) (* -314159265359/50000000000 u2) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))))))
7.0ms
u2
@-inf
((* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (sin (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) (* (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) u2) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (- (/ 1 u1) 1) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2)))) (* -314159265359/50000000000 u2) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))))))
7.0ms
u2
@inf
((* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (sin (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) (* (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) u2) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (- (/ 1 u1) 1) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2)))) (* -314159265359/50000000000 u2) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))))))
5.0ms
u1
@0
((* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (sin (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) (* (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) u2) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* u2 314159265359/50000000000) (sin (* u2 314159265359/50000000000)) (- (/ 1 u1) 1) (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2)))) (* -314159265359/50000000000 u2) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/ 1 (* (/ -1 (sqrt u1)) (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))))))

simplify103.0ms (1.4%)

Memory
20.6MiB live, 143.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06714015
025263784
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
142 → 141
Calls
Call 1
Inputs
(* (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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (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) u2)
(* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* -314159265359/50000000000 u2)))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/8 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* -314159265359/50000000000 u2)))))))))) u1)
(/ 1 (sin (* -314159265359/50000000000 u2)))
(+ (* -1/2 (/ u1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))))
(+ (* u1 (- (* -1/8 (/ u1 (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ 1 (sin (* -314159265359/50000000000 u2)))))) (/ 1 (sin (* -314159265359/50000000000 u2))))
(+ (* u1 (- (* u1 (- (* -1/16 (/ u1 (sin (* -314159265359/50000000000 u2)))) (* 1/8 (/ 1 (sin (* -314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (sin (* -314159265359/50000000000 u2)))))) (/ 1 (sin (* -314159265359/50000000000 u2))))
(* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2))))
(+ (* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (pow u1 3)) (sin (* -314159265359/50000000000 u2)))))
(+ (* -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)))))))
(+ (* -1 (* (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)))))))))
(* (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
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(+ (* -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) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(- (/ 1 u1) 1)
(* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
(- (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))))
(- (+ (* -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 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/8 (/ 1 (* (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 u1) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))))))
(* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(+ (* -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 (* (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)))))))
(+ (* -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)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(/ -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(- (* 1/2 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))
(- (+ (/ 1/8 (* (pow u1 2) (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) (/ 1/2 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))
(- (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) (* 1/8 (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) u1)) (* 1/2 (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* (sqrt u1) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))))))))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* 314159265359/300000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(* -314159265359/50000000000 u2)
(* -50000000000/314159265359 (* (/ 1 u2) (sqrt (- 1 u1))))
(/ (+ (* -314159265359/300000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -50000000000/314159265359 (sqrt (- 1 u1)))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -314159265359/300000000000 (sqrt (- 1 u1)))))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -314159265359/300000000000 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- 1 u1)))))))) u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(sin (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* -1 (* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(* (/ 1 (sin (* -314159265359/50000000000 u2))) (sqrt (- 1 u1)))
(* -1 (* (sqrt (/ u1 (- 1 u1))) (sin (* -314159265359/50000000000 u2))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
Outputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (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)) (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 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (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 #s(literal -1/2 binary32) (fma.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 u1 u1) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) u1)) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) u2 (*.f32 (*.f32 (sqrt.f32 u1) u2) #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 #s(literal 314159265359/100000000000 binary32) (fma.f32 (sqrt.f32 u1) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u2) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* (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))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.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 u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.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 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.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) u2)
(*.f32 (sqrt.f32 u1) u2)
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(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -314159265359/300000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -50000000000/314159265359 binary32))) u2)
(/ (+ (* -50000000000/314159265359 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -314159265359/300000000000 (sqrt (- 1 u1))) (* (pow u2 2) (+ (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- 1 u1)))) (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- 1 u1)))))))) u2)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 #s(literal -314159265359/300000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -50000000000/314159265359 binary32))) u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 3)))
(*.f32 (*.f32 (pow.f32 u2 #s(literal 3 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -1 (* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(* (/ 1 (sin (* -314159265359/50000000000 u2))) (sqrt (- 1 u1)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(* -1 (* (sqrt (/ u1 (- 1 u1))) (sin (* -314159265359/50000000000 u2))))
(neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(neg.f32 (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (pow.f32 u2 #s(literal 3 binary32))))

rewrite201.0ms (2.8%)

Memory
-33.3MiB live, 287.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049211
081210
1225201
21230188
08473184
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 766
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #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)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.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))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32)))
(*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2)
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (neg.f32 (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)))
(*.f32 (*.f32 (sin.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 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal -1 binary32)) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal -1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(literal -1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
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eval145.0ms (2%)

Memory
26.6MiB live, 212.0MiB allocated
Compiler

Compiled 20 997 to 3 012 computations (85.7% saved)

prune62.0ms (0.9%)

Memory
6.3MiB live, 209.8MiB allocated
Pruning

57 alts after pruning (52 fresh and 5 done)

PrunedKeptTotal
New70819727
Fresh113344
Picked145
Done011
Total72057777
Accuracy
99.9%
Counts
777 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
98.0%
(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))
98.1%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
✓98.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
96.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
▶75.7%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
95.6%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
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)))))
95.6%
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.1%
(/.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))))))
97.5%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
75.4%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
▶98.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.1%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
▶98.2%
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
97.6%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
97.7%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
59.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
57.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (PI.f32)))))
✓98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
▶79.6%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
79.4%
#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))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.6%
#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))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
✓87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
79.4%
#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)))
79.6%
#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)))))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
75.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
✓64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
▶64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
Compiler

Compiled 2 428 to 1 931 computations (20.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize119.0ms (1.7%)

Memory
-14.7MiB live, 224.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy0.26953125
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
accuracy0.30078125
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.33203125
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.2017338132413075
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy0.33203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.38900375976844204
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
accuracy8.382380135544288
#s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))
accuracy0.25
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
accuracy6.276151935194656
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
accuracy0.33203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.33822250976844204
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
accuracy6.276151935194656
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
accuracy7.678416366445966
#s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
accuracy0.26171875
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy0.265625
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
accuracy0.33203125
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.33984375
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Samples
86.0ms256×0valid
Compiler

Compiled 530 to 92 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 21.0ms (30.8% of total)
ival-mult: 17.0ms (25% of total)
ival-sin: 10.0ms (14.7% of total)
ival-sqrt: 10.0ms (14.7% of total)
const: 7.0ms (10.3% of total)
ival-sub: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
28.1MiB live, 66.8MiB allocated
Counts
18 → 102
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
#s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
Outputs
(* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2))))
(+ (* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (pow u1 3)) (sin (* -314159265359/50000000000 u2)))))
(+ (* -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)))))))
(+ (* -1 (* (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) (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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* -314159265359/50000000000 u2)))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/8 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* -314159265359/50000000000 u2)))))))))) u1)
(* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(+ (* -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 (* (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)))))))
(* 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))))))
(* (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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(- (/ 1 u1) 1)
(* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
(- (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))))
(- (+ (* -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 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/8 (/ 1 (* (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)))))))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* 1/2 (/ (* (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)))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -314159265359/100000000000 (/ (* u2 (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ (sqrt -1) (* u1 (sin (* -314159265359/50000000000 u2))))))
(+ (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* -1 (/ (+ (* -1/2 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* -1/8 (/ (sqrt -1) (* u1 (sin (* -314159265359/50000000000 u2)))))) u1)))
(+ (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (sqrt -1) (* u1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) u1)) (* -1/2 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) u1)))
(* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(+ (* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -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)
(* 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))))
(/ -50000000000/314159265359 u2)
(/ (- (* -314159265359/300000000000 (pow u2 2)) 50000000000/314159265359) u2)
(/ (- (* (pow u2 2) (- (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (pow u2 2)) 314159265359/300000000000)) 50000000000/314159265359) u2)
(/ (- (* (pow u2 2) (- (* (pow u2 2) (- (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (pow u2 2)) 217043936762141594974494696480642953/45000000000000000000000000000000000)) 314159265359/300000000000)) 50000000000/314159265359) u2)
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* 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)
(/ 50000000000/314159265359 u2)
(/ (+ 50000000000/314159265359 (* 314159265359/300000000000 (pow u2 2))) u2)
(/ (+ 50000000000/314159265359 (* (pow u2 2) (+ 314159265359/300000000000 (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (pow u2 2))))) u2)
(/ (+ 50000000000/314159265359 (* (pow u2 2) (+ 314159265359/300000000000 (* (pow u2 2) (+ 217043936762141594974494696480642953/45000000000000000000000000000000000 (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (pow u2 2))))))) u2)
(* -1 (* (sqrt (/ u1 (- 1 u1))) (sin (* -314159265359/50000000000 u2))))
(* -1 (sin (* -314159265359/50000000000 u2)))
(/ 1 (sin (* -314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(sin (* 314159265359/50000000000 u2))
(* -1 (* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(/ -1 (sin (* -314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
u1
@-inf
((* (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* (* 314159265359/50000000000 u2) (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 u2) (/ 1 (- (/ 1 u1) 1)) (/ (- 1 u1) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1))) (/ 1 (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1)))) (/ -1 (sin (* -314159265359/50000000000 u2))))
4.0ms
u2
@inf
((* (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* (* 314159265359/50000000000 u2) (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 u2) (/ 1 (- (/ 1 u1) 1)) (/ (- 1 u1) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1))) (/ 1 (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1)))) (/ -1 (sin (* -314159265359/50000000000 u2))))
4.0ms
u2
@-inf
((* (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* (* 314159265359/50000000000 u2) (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 u2) (/ 1 (- (/ 1 u1) 1)) (/ (- 1 u1) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1))) (/ 1 (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1)))) (/ -1 (sin (* -314159265359/50000000000 u2))))
4.0ms
u2
@0
((* (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* (* 314159265359/50000000000 u2) (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 u2) (/ 1 (- (/ 1 u1) 1)) (/ (- 1 u1) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1))) (/ 1 (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1)))) (/ -1 (sin (* -314159265359/50000000000 u2))))
1.0ms
u1
@inf
((* (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (/ 1 (sin (* -314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (* (* 314159265359/50000000000 u2) (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 314159265359/50000000000 u2) (/ 1 (- (/ 1 u1) 1)) (/ (- 1 u1) u1) (/ (sin (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (sin (* u2 314159265359/50000000000)) (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1))) (/ 1 (* (/ -1 (sin (* -314159265359/50000000000 u2))) (sqrt (/ (- 1 u1) u1)))) (/ -1 (sin (* -314159265359/50000000000 u2))))

simplify111.0ms (1.6%)

Memory
-24.7MiB live, 95.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05162445
018712322
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
102 → 101
Calls
Call 1
Inputs
(* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2))))
(+ (* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (pow u1 3)) (sin (* -314159265359/50000000000 u2)))))
(+ (* -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)))))))
(+ (* -1 (* (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) (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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* -314159265359/50000000000 u2)))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/8 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* -314159265359/50000000000 u2)))))))))) u1)
(* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(+ (* -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 (* (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)))))))
(* 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))))))
(* (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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(- (/ 1 u1) 1)
(* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
(- (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ 1 (* u1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))))))
(- (+ (* -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 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/8 (/ 1 (* (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)))))))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* 1/2 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* 1/2 (/ (* (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)))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 314159265359/100000000000 (/ u2 (sqrt -1))) (* 314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -314159265359/100000000000 (/ (* u2 (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 314159265359/100000000000 (/ u2 (sqrt -1)))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* 1/2 (/ (sqrt -1) (* u1 (sin (* -314159265359/50000000000 u2))))))
(+ (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* -1 (/ (+ (* -1/2 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* -1/8 (/ (sqrt -1) (* u1 (sin (* -314159265359/50000000000 u2)))))) u1)))
(+ (* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (sqrt -1) (* u1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) u1)) (* -1/2 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))) u1)))
(* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(+ (* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* 3/8 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)))
(+ (* -1 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* -5/16 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (sqrt -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)
(* 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))))
(/ -50000000000/314159265359 u2)
(/ (- (* -314159265359/300000000000 (pow u2 2)) 50000000000/314159265359) u2)
(/ (- (* (pow u2 2) (- (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (pow u2 2)) 314159265359/300000000000)) 50000000000/314159265359) u2)
(/ (- (* (pow u2 2) (- (* (pow u2 2) (- (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (pow u2 2)) 217043936762141594974494696480642953/45000000000000000000000000000000000)) 314159265359/300000000000)) 50000000000/314159265359) u2)
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* 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)
(/ 50000000000/314159265359 u2)
(/ (+ 50000000000/314159265359 (* 314159265359/300000000000 (pow u2 2))) u2)
(/ (+ 50000000000/314159265359 (* (pow u2 2) (+ 314159265359/300000000000 (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (pow u2 2))))) u2)
(/ (+ 50000000000/314159265359 (* (pow u2 2) (+ 314159265359/300000000000 (* (pow u2 2) (+ 217043936762141594974494696480642953/45000000000000000000000000000000000 (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (pow u2 2))))))) u2)
(* -1 (* (sqrt (/ u1 (- 1 u1))) (sin (* -314159265359/50000000000 u2))))
(* -1 (sin (* -314159265359/50000000000 u2)))
(/ 1 (sin (* -314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(sin (* 314159265359/50000000000 u2))
(* -1 (* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(/ -1 (sin (* -314159265359/50000000000 u2)))
Outputs
(* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2))))
(neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* -1 (* (sqrt u1) (sin (* -314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (pow u1 3)) (sin (* -314159265359/50000000000 u2)))))
(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) (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 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)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(+ (* -1 (* (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1)) (*.f32 u1 u1) (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) u2 (*.f32 (*.f32 (sqrt.f32 u1) u2) #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 #s(literal 314159265359/100000000000 binary32) (fma.f32 (sqrt.f32 u1) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u2) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* (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))))
(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 (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)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.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 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.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))))
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* -314159265359/50000000000 u2)))))) u1)
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/8 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))))) u1)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1)
(/ (+ (* -1 (* (sqrt u1) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* -314159265359/50000000000 u2))))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* -314159265359/50000000000 u2)))))))))) u1)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1)
(* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1)))
(neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1 (* (sin (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (sin (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(+ (* -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))))))
(fma.f32 (neg.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -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)))))))
(fma.f32 (neg.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (fma.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(fma.f32 (/.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -314159265359/100000000000 binary32) (fma.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) #s(literal -314159265359/100000000000 binary32) (fma.f32 (*.f32 u2 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -314159265359/100000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) #s(literal 314159265359/50000000000 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 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)))) (* (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)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(- (/ 1 u1) 1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(* -1 (/ (sqrt -1) (sin (* -314159265359/50000000000 u2))))
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(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2)
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(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) 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 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.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 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)
(* -314159265359/50000000000 u2)
(*.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)
(/ -50000000000/314159265359 u2)
(/.f32 #s(literal -50000000000/314159265359 binary32) u2)
(/ (- (* -314159265359/300000000000 (pow u2 2)) 50000000000/314159265359) u2)
(/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2)
(/ (- (* (pow u2 2) (- (* -217043936762141594974494696480642953/45000000000000000000000000000000000 (pow u2 2)) 314159265359/300000000000)) 50000000000/314159265359) u2)
(/.f32 (fma.f32 (fma.f32 #s(literal -217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2)
(/ (- (* (pow u2 2) (- (* (pow u2 2) (- (* -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (pow u2 2)) 217043936762141594974494696480642953/45000000000000000000000000000000000)) 314159265359/300000000000)) 50000000000/314159265359) u2)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2)
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (*.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (*.f32 u2 u2)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal 314159265359/50000000000 binary32))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2)))))))) u2)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (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 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 314159265359/300000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)
(/ 50000000000/314159265359 u2)
(/.f32 #s(literal 50000000000/314159265359 binary32) u2)
(/ (+ 50000000000/314159265359 (* 314159265359/300000000000 (pow u2 2))) u2)
(/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)
(/ (+ 50000000000/314159265359 (* (pow u2 2) (+ 314159265359/300000000000 (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (pow u2 2))))) u2)
(/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)
(/ (+ 50000000000/314159265359 (* (pow u2 2) (+ 314159265359/300000000000 (* (pow u2 2) (+ 217043936762141594974494696480642953/45000000000000000000000000000000000 (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (pow u2 2))))))) u2)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)
(* -1 (* (sqrt (/ u1 (- 1 u1))) (sin (* -314159265359/50000000000 u2))))
(neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -1 (sin (* -314159265359/50000000000 u2)))
(neg.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/ 1 (sin (* -314159265359/50000000000 u2)))
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* -1 (* (sqrt (/ (- 1 u1) u1)) (/ 1 (sin (* -314159265359/50000000000 u2)))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(/ -1 (sin (* -314159265359/50000000000 u2)))
(/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))

rewrite175.0ms (2.4%)

Memory
-2.7MiB live, 152.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050195
077191
1201180
21022166
08481164
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 774
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
#s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (/.f32 #s(literal -1 binary32) u1)))) (cosh.f32 (asinh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -3/2 binary32))))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal -1/4 binary32))) (pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal -1/4 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32))) (pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
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(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
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(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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eval332.0ms (4.6%)

Memory
-141.0MiB live, 133.2MiB allocated
Compiler

Compiled 19 623 to 2 924 computations (85.1% saved)

prune73.0ms (1%)

Memory
-17.5MiB live, 147.3MiB allocated
Pruning

65 alts after pruning (56 fresh and 9 done)

PrunedKeptTotal
New72320743
Fresh113647
Picked145
Done055
Total73565800
Accuracy
99.9%
Counts
800 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
98.0%
(/.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
97.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))
98.1%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
✓98.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
96.0%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
✓75.7%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
95.6%
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
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)))))
75.5%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
95.6%
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.1%
(/.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))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
75.4%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) #s(approx (/ (sqrt (- 1 u1)) (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
✓98.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
76.3%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
78.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
78.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.0%
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
97.7%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
97.6%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
79.2%
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.2%
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
59.5%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
57.0%
(*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (PI.f32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
97.7%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (sqrt.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.6%
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
70.4%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
79.4%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.5%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
79.4%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
79.7%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
✓79.6%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
64.6%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))))))
79.5%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
79.6%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
72.5%
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.6%
#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))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
✓87.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
79.4%
#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)))
79.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
75.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
5.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
✓64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
✓64.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
Compiler

Compiled 3 722 to 1 627 computations (56.3% saved)

regimes285.0ms (4%)

Memory
28.4MiB live, 454.4MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
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(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (PI.f32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

58.0ms
u2
50.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
32.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
30.0ms
u1
28.0ms
(/.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)

regimes150.0ms (2.1%)

Memory
-5.3MiB live, 165.4MiB allocated
Counts
57 → 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 50000000000/314159265359 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.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)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.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 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

31.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
22.0ms
u2
21.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
cosTheta_i
14.0ms
(sqrt.f32 (/.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)

regimes125.0ms (1.8%)

Memory
25.5MiB live, 174.8MiB 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 50000000000/314159265359 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.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)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.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 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

25.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms
u2
16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms
u1
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
87.1%1cosTheta_i
94.8%2u1
95.3%2u2
87.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.8%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.8%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.0%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
95.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes76.0ms (1.1%)

Memory
-3.0MiB live, 149.7MiB allocated
Counts
47 → 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 50000000000/314159265359 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.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)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.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 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
Calls

5 calls:

19.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
u2
14.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
13.0ms
u1
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
91.3%2u1
91.3%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.3%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.5%2u2
93.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 16 to 24 computations (-50% saved)

regimes112.0ms (1.6%)

Memory
5.1MiB live, 251.2MiB allocated
Counts
45 → 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 50000000000/314159265359 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.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)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.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 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (neg.f32 u2) (*.f32 (*.f32 (neg.f32 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 u2)) #s(literal 314159265359/300000000000 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 50000000000/314159265359 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) (- (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) -314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))) u2))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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))
Calls

8 calls:

21.0ms
u1
15.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
13.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
87.1%1cosTheta_i
87.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%1u1
87.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.1%1u2
87.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes85.0ms (1.2%)

Memory
-19.5MiB live, 172.9MiB allocated
Counts
37 → 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 #s(literal -50000000000/314159265359 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (sin (* u2 314159265359/50000000000)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal 50000000000/314159265359 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ 1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal -314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal -50000000000/314159265359 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 #s(literal 314159265359/300000000000 binary32) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.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)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ -1 (sin (* -314159265359/50000000000 u2))) (/.f32 (fma.f32 (fma.f32 #s(literal 217043936762141594974494696480642953/45000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/300000000000 binary32)) (*.f32 u2 u2) #s(literal 50000000000/314159265359 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
Calls

8 calls:

12.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) 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)))
10.0ms
u1
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
87.1%1u1
87.1%1u2
87.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.1%1cosTheta_i
87.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes59.0ms (0.8%)

Memory
5.2MiB live, 123.3MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
Calls

8 calls:

9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
cosTheta_i
7.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
87.1%1cosTheta_i
87.1%1u1
87.1%1u2
87.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes56.0ms (0.8%)

Memory
-8.6MiB live, 110.0MiB allocated
Counts
23 → 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(approx (/ -1 (/ 1 (sin (* -314159265359/50000000000 u2)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -31006276680305942139213528068663279/750000000000000000000000000000000) (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000)) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (/.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.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 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
Calls

8 calls:

9.0ms
cosTheta_i
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
79.9%1cosTheta_i
79.9%1u1
79.9%1u2
79.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
79.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.9%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes23.0ms (0.3%)

Memory
26.7MiB live, 58.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
Outputs
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
Calls

8 calls:

9.0ms
(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
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
72.5%1u2
72.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.5%1cosTheta_i
72.5%1u1
72.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes15.0ms (0.2%)

Memory
4.5MiB live, 41.4MiB allocated
Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (*.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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
Calls

8 calls:

3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
64.3%1u2
64.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
64.3%1cosTheta_i
64.3%1u1
64.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.07471057772636414
0.07567793875932693
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.19919441640377045
0.22500310838222504
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify89.0ms (1.2%)

Memory
-26.6MiB live, 102.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075314
1111314
2144314
3206314
4312314
5446314
6664314
7881314
81075314
91260314
101462314
111541314
121591314
131623314
141636314
151638314
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.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)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 5033165/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (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)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 13421773/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (+.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (*.f32 (sqrt.f32 #s(approx (/ 1 (- (/ 1 u1) 1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) 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 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))

soundness910.0ms (12.8%)

Memory
11.7MiB live, 736.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05162445
018712322
037192
062184
1173184
2922172
08396170
049211
081210
1225201
21230188
08473184
05282772
019342616
01023
01623
14723
224323
0206223
0150604
0529570
06714015
025263784
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
Compiler

Compiled 653 to 348 computations (46.7% saved)

preprocess133.0ms (1.9%)

Memory
11.6MiB live, 89.1MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 066 to 562 computations (47.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...