Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze731.0ms (7.1%)

Memory
-85.3MiB live, 379.3MiB allocated; 805ms collecting garbage
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)

sample1.9s (18.5%)

Memory
69.6MiB live, 3 223.2MiB allocated; 621ms collecting garbage
Samples
1.4s8 256×0valid
1.0ms5×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 455.0ms (38.5% of total)
ival-<=: 151.0ms (12.8% of total)
ival-sin: 134.0ms (11.3% of total)
ival-mult: 109.0ms (9.2% of total)
ival-sqrt: 105.0ms (8.9% of total)
ival-sub: 75.0ms (6.3% of total)
ival-div: 69.0ms (5.8% of total)
ival->: 40.0ms (3.4% of total)
ival-and: 34.0ms (2.9% of total)
exact: 5.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain117.0ms (1.1%)

Memory
12.2MiB live, 294.1MiB allocated; 27ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
53.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 8.0ms (22.6% of total)
const: 7.0ms (19.8% of total)
ival-div: 6.0ms (16.9% of total)
ival-mult: 6.0ms (16.9% of total)
ival-sub: 4.0ms (11.3% of total)
ival-sqrt: 3.0ms (8.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess249.0ms (2.4%)

Memory
4.3MiB live, 232.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
161103
289103
3133103
4307101
595699
6555799
01011
01611
12011
22311
33311
46611
525711
6208011
7538611
0852911
Stop Event
1×iter limit
1×node limit
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
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)

simplify173.0ms (1.7%)

Memory
-10.2MiB live, 241.5MiB allocated; 38ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12036
22336
33336
46636
525736
6208036
7538636
0852936
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize35.0ms (0.3%)

Memory
-16.5MiB live, 72.5MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.19921875
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3359375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.36328125
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
24.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
const: 4.0ms (25.7% of total)
ival-mult: 3.0ms (19.2% of total)
ival-sin: 3.0ms (19.2% of total)
ival-div: 2.0ms (12.8% of total)
ival-sub: 2.0ms (12.8% of total)
ival-sqrt: 2.0ms (12.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
5 → 42
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
Calls

9 calls:

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

simplify182.0ms (1.8%)

Memory
30.8MiB live, 211.9MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186776
1647686
22944671
08646633
Stop Event
1×iter limit
1×node limit
Counts
42 → 41
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (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 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 3/8 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1/2 binary32) u1) (*.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)) (/.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/8 binary32) u1))) 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)) (/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) u1)) u1))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite60.0ms (0.6%)

Memory
-15.5MiB live, 85.5MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
14228
019728
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 27
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(*.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 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.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 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (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 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval11.0ms (0.1%)

Memory
-24.9MiB live, 19.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 528 to 333 computations (78.2% saved)

prune12.0ms (0.1%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New511768
Fresh000
Picked011
Done000
Total511869
Accuracy
99.7%
Counts
69 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.9%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (*.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)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.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)))
▶91.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
88.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
▶94.5%
#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) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
▶81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 817 to 601 computations (26.4% saved)

simplify159.0ms (1.5%)

Memory
-4.8MiB live, 228.0MiB allocated; 43ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
cost-diff7
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff7
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff7
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff0
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
cost-diff0
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff4
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053578
094548
1162548
2429524
31619490
44408490
08172474
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
u1
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 u1 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 314159265359/50000000000 binary32)
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(pow.f32 u2 #s(literal 4 binary32))
u2
#s(literal 4 binary32)
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 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 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
u1
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 u1 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) u2))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2)
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) u2)
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 314159265359/50000000000 binary32)
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 4 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 u2 #s(literal 4 binary32))
u2
#s(literal 4 binary32)
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)

localize146.0ms (1.4%)

Memory
14.7MiB live, 305.3MiB allocated; 23ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.35348380115753786
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
accuracy0.359375
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.549823779305326
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy1.3499307549626023
#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) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
accuracy0.17578125
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
accuracy0.28125
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.11947250976844201
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy2.0775179246024837
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
accuracy0.17578125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.363945019536884
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy5.586426999485656
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3310737793053261
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
accuracy0.359375
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.37890625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
Samples
91.0ms246×0valid
19.0ms10×5exit
Compiler

Compiled 472 to 47 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 31.0ms (35.9% of total)
const: 13.0ms (15% of total)
adjust: 10.0ms (11.6% of total)
ival-div: 9.0ms (10.4% of total)
ival-add: 9.0ms (10.4% of total)
ival-sub: 4.0ms (4.6% of total)
ival-sqrt: 4.0ms (4.6% of total)
ival-pow: 3.0ms (3.5% of total)
ival-sin: 3.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
-31.7MiB live, 57.7MiB allocated; 9ms collecting garbage
Counts
27 → 146
Calls
Call 1
Inputs
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#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) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Outputs
1
(+ 1 (* -1 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
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)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (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))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (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))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (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))) (+ (* 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))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))
(+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (pow u1 3))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))
(+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))
(+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* 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))))))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))
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(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/12600000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1)))))) u1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1))) u1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/12600000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1)))) u1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))
(+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (/ (sqrt -1) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* -3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* 3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (/ (sqrt -1) u1)) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1))) u1))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 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 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (* 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)))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
(* (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))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -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))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(sin (* 314159265359/50000000000 u2))
Calls

9 calls:

TimeVariablePointExpression
19.0ms
u1
@0
((- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))))) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1) (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
8.0ms
u2
@0
((- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))))) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1) (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
8.0ms
u1
@inf
((- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))))) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1) (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
6.0ms
u1
@-inf
((- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))))) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1) (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
5.0ms
u2
@inf
((- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (sqrt (/ u1 (- 1 u1))) 314159265359/50000000000) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))))) (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (* (- (/ 1 u1) 1) u1) (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))

simplify211.0ms (2%)

Memory
53.0MiB live, 234.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06815051
124734324
082954033
Stop Event
1×iter limit
1×node limit
Counts
146 → 145
Calls
Call 1
Inputs
1
(+ 1 (* -1 u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
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)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (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))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (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))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (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))) (+ (* 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))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))
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(+ (* -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))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/12600000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (+ (* 942477796077/400000000000 (sqrt -1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1))))))) u1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))) u1)) (+ (* 314159265359/50000000000 (sqrt -1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1))))) u1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* 31006276680305942139213528068663279/2400000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/12600000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1)))))) u1)) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* (pow u2 4) (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1))) u1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/10500000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/12600000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1)))) u1)) (* 302029322777818351566783844332719832329455959975176141755859165754785028165295919/7875000000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1))))
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))
(+ (* 3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (/ (sqrt -1) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* -3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))
(+ (* -1 (/ (+ (* -3060196847853821555298148281676017575122444629042460390799/75000000000000000000000000000000000000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* 3060196847853821555298148281676017575122444629042460390799/120000000000000000000000000000000000000000000000000000000 (/ (sqrt -1) u1)) (* 3060196847853821555298148281676017575122444629042460390799/100000000000000000000000000000000000000000000000000000000 (sqrt -1))) u1))) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 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 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (* 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)))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
(* (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))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -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))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(sin (* 314159265359/50000000000 u2))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
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u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
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(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u2 4) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
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(fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))
(* (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 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))
(*.f32 (*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 6 binary32))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u2 #s(literal 4 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (pow.f32 u2 #s(literal 6 binary32)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(*.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

rewrite304.0ms (2.9%)

Memory
-22.0MiB live, 358.3MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053427
094363
1308363
22318361
09166351
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 513
Calls
Call 1
Inputs
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#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) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Outputs
(*.f32 (/.f32 (-.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 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (fma.f32 (*.f32 u1 u1) (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (*.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) #s(literal -1 binary32))) (*.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (*.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) #s(literal 1 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
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(+.f32 (/.f32 (*.f32 (*.f32 (pow.f32 u2 #s(literal 6 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32))) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (*.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))) (/.f32 (*.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32))) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (*.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))))
(+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u2))
(*.f32 (neg.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (fabs.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fabs.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 3 binary32)))) #s(literal -1 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 (*.f32 u1 u1) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1))) #s(literal -1 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(fabs.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(fabs.f32 (neg.f32 (exp.f32 (neg.f32 (log1p.f32 u1)))))
(fabs.f32 (exp.f32 (neg.f32 (log1p.f32 u1))))
(+.f32 (cosh.f32 (neg.f32 (log1p.f32 u1))) (sinh.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32)))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (fabs.f32 (/.f32 (*.f32 u1 u1) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (fabs.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fabs.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) u1)
(*.f32 (/.f32 (*.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 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)
(*.f32 (neg.f32 u1) (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 u1 (fabs.f32 (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 u1 (fabs.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 u1 u1) (fabs.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(/.f32 (*.f32 u1 u1) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 (*.f32 u1 u1) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32)))
(fabs.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)
(*.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) u1) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (neg.f32 u2)) (neg.f32 u2))
(*.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2)
(*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 u2 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 (sqrt.f32 u1) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

eval87.0ms (0.8%)

Memory
-3.1MiB live, 141.1MiB allocated; 28ms collecting garbage
Compiler

Compiled 36 353 to 3 339 computations (90.8% saved)

prune48.0ms (0.5%)

Memory
6.2MiB live, 98.0MiB allocated; 8ms collecting garbage
Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New59638634
Fresh8412
Picked415
Done011
Total60844652
Accuracy
99.9%
Counts
652 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
96.5%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
97.9%
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1)))) (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1)) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
92.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
▶92.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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)))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶98.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
85.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
83.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
90.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1) #s(literal 2 binary32)) (*.f32 u1 u1)) (-.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) #s(literal -1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.2%
(*.f32 #s(approx (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
88.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
81.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
92.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
94.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.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))
94.5%
#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) (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))) u2))
92.2%
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))) u2))
88.8%
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
79.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32))) (fma.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) u2))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
81.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
✓81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
▶76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
▶63.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 2 947 to 1 882 computations (36.1% saved)

simplify191.0ms (1.8%)

Memory
21.6MiB live, 166.0MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(+.f32 (neg.f32 u1) #s(literal -1 binary32))
cost-diff2
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
cost-diff9
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
cost-diff2
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))
cost-diff2
(fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
cost-diff0
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
cost-diff0
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
cost-diff0
(*.f32 (sqrt.f32 u1) u2)
cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068714
0120666
1214666
2597647
32674641
08725629
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))
(fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 u1 #s(literal 314159265359/100000000000 binary32))
#s(literal 314159265359/100000000000 binary32)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))
#s(literal 1 binary32)
(/.f32 #s(literal 1/4 binary32) u1)
#s(literal 1/4 binary32)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 314159265359/100000000000 binary32) u2)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
u1
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (neg.f32 u1) #s(literal -1 binary32))
(neg.f32 u1)
#s(literal -1 binary32)
#s(literal 1 binary32)
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 u1 u2) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 u1 u2) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 u1 u2) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 u1 u2) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))) (*.f32 u1 u1))
(fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (*.f32 u1 u2) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)))
(*.f32 u1 #s(literal 314159265359/100000000000 binary32))
(*.f32 #s(literal 314159265359/100000000000 binary32) u1)
#s(literal 314159265359/100000000000 binary32)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2)
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))
#s(literal 1 binary32)
(/.f32 #s(literal 1/4 binary32) u1)
#s(literal 1/4 binary32)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 314159265359/100000000000 binary32) u2)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))
u1
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1))
(fma.f32 u1 u1 u1)
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(+.f32 (neg.f32 u1) #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(neg.f32 u1)
#s(literal -1 binary32)
#s(literal 1 binary32)
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize361.0ms (3.5%)

Memory
-73.9MiB live, 251.5MiB allocated; 86ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.42873002930532605
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
accuracy0.4296875
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
accuracy0.3515625
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1))
accuracy0.3600387695368841
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
accuracy2.1011340340017344
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
accuracy5.586426999485656
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
accuracy0.28125
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
accuracy0.2890625
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy0.359375
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
accuracy2.109672631902006
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy0.28515625
(*.f32 (sqrt.f32 u1) u2)
accuracy0.34375
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy5.586426999485656
#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))))
accuracy7.333560632640747
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
accuracy0.11947250976844201
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.29296875
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
213.0ms246×0valid
15.0ms10×5exit
Compiler

Compiled 561 to 65 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 116.0ms (67.8% of total)
const: 12.0ms (7% of total)
ival-div: 10.0ms (5.8% of total)
ival-sqrt: 8.0ms (4.7% of total)
ival-sub: 7.0ms (4.1% of total)
ival-add: 7.0ms (4.1% of total)
adjust: 5.0ms (2.9% of total)
ival-sin: 3.0ms (1.8% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
42.6MiB live, 42.6MiB allocated; 0ms collecting garbage
Counts
28 → 117
Calls
Call 1
Inputs
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (neg.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (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))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1))
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
1
(+ 1 (* -1 u1))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2))
(/ (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2))) u1)
(/ (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))))) u1)
(/ (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)) u1)
(/ (+ (* -1/4 (* (sqrt u1) u2)) (+ (* (sqrt u1) u2) (* (sqrt (pow u1 3)) u2))) u1)
-1
(- (* -1 u1) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (sqrt (pow u1 3)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* u1 (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1/4 (sqrt (/ 1 u1)))
(/ (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1))) u1)
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)))))
(* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) u2)) (+ (* (sqrt (/ 1 u1)) u2) (* (sqrt (/ 1 (pow u1 3))) u2))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (+ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 7/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))))
(+ (* -9/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 7/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 7/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))))))
(* u1 (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 (pow u1 3))))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))) u1))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1)) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))
(* u2 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* u2 (* (sqrt -1) (+ 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 u1))))
(sin (* 314159265359/50000000000 u2))
(* -1 (* u2 (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
(* -1 (* u2 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
u2
@0
((* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))) (* (+ (neg u1) -1) 1) (+ (neg u1) -1) (* (sqrt (/ u1 (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (* (- (/ 1 u1) 1) u1) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (* (- 1 (/ 1/4 u1)) (sqrt u1)) (* (+ (neg u1) -1) (- u1 -1)))
7.0ms
u2
@inf
((* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))) (* (+ (neg u1) -1) 1) (+ (neg u1) -1) (* (sqrt (/ u1 (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (* (- (/ 1 u1) 1) u1) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (* (- 1 (/ 1/4 u1)) (sqrt u1)) (* (+ (neg u1) -1) (- u1 -1)))
7.0ms
u2
@-inf
((* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))) (* (+ (neg u1) -1) 1) (+ (neg u1) -1) (* (sqrt (/ u1 (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (* (- (/ 1 u1) 1) u1) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (* (- 1 (/ 1/4 u1)) (sqrt u1)) (* (+ (neg u1) -1) (- u1 -1)))
5.0ms
u1
@-inf
((* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))) (* (+ (neg u1) -1) 1) (+ (neg u1) -1) (* (sqrt (/ u1 (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (* (- (/ 1 u1) 1) u1) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (* (- 1 (/ 1/4 u1)) (sqrt u1)) (* (+ (neg u1) -1) (- u1 -1)))
5.0ms
u1
@inf
((* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* (sqrt u1) u2) 314159265359/50000000000) (* (sqrt u1) u2) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))) (* (+ (neg u1) -1) 1) (+ (neg u1) -1) (* (sqrt (/ u1 (/ (+ (* (+ (* u1 u1) u1) u1) (* (+ (neg u1) -1) 1)) (* (+ (neg u1) -1) (- u1 -1))))) (sin (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2) (sin (* 314159265359/50000000000 u2)) (sin (* 314159265359/50000000000 u2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u2 u2)) (* (- (/ 1 u1) 1) u1) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (* (- 1 (/ 1/4 u1)) (sqrt u1)) (* (+ (neg u1) -1) (- u1 -1)))

simplify172.0ms (1.7%)

Memory
-20.1MiB live, 209.8MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05052547
118802254
088722119
Stop Event
1×iter limit
1×node limit
Counts
117 → 116
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* (sqrt u1) u2)
1
(+ 1 (* -1 u1))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2))
(/ (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2))) u1)
(/ (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))))) u1)
(/ (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)) u1)
(/ (+ (* -1/4 (* (sqrt u1) u2)) (+ (* (sqrt u1) u2) (* (sqrt (pow u1 3)) u2))) u1)
-1
(- (* -1 u1) 1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (sqrt (pow u1 3)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* u1 (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1/4 (sqrt (/ 1 u1)))
(/ (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1))) u1)
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)))))
(* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) u2)) (+ (* (sqrt (/ 1 u1)) u2) (* (sqrt (/ 1 (pow u1 3))) u2))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (+ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))
(+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 7/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))))
(+ (* -9/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 7/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 7/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)))))))
(* u1 (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 (pow u1 3))))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))) u1))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1)) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))
(* u2 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* u2 (* (sqrt -1) (+ 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1))))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 u1))))
(sin (* 314159265359/50000000000 u2))
(* -1 (* u2 (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
(* -1 (* u2 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))
Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
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(*.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))) (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32))) u2) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32))) u2) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))))) (*.f32 u2 u2))) u2)
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (* (sqrt -1) (+ 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sqrt -1) (+ 1 u1))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))) (*.f32 (fma.f32 (*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32))) u2) u2)) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))))) (*.f32 u2 u2))) (*.f32 u2 u2))) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (+ (* -1 (+ 1 u1)) (* u1 (+ u1 (pow u1 2)))))) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 u1))))
(*.f32 (*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) u1 (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1)))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* -1 (* u2 (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u2)
(* -1 (* u2 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))
(neg.f32 (*.f32 (neg.f32 u2) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))

rewrite175.0ms (1.7%)

Memory
-1.5MiB live, 185.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068451
0120441
1399413
03064409
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
28 → 337
Calls
Call 1
Inputs
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (neg.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) (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))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1))
(*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))
Outputs
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.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) (*.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (fma.f32 u1 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))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (+.f32 #s(literal -1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (*.f32 (+.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.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 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (+.f32 #s(literal -1 binary32) u1)))
(fma.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)))
(fma.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(fma.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(fma.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32) (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)))
(fma.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)))
(fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)))
(+.f32 (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(+.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(+.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(+.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)))

eval50.0ms (0.5%)

Memory
34.3MiB live, 126.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 19 563 to 2 454 computations (87.5% saved)

prune127.0ms (1.2%)

Memory
-29.5MiB live, 122.7MiB allocated; 22ms collecting garbage
Pruning

51 alts after pruning (47 fresh and 4 done)

PrunedKeptTotal
New41218430
Fresh82937
Picked325
Done022
Total42351474
Accuracy
99.9%
Counts
474 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
91.9%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
▶98.3%
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.9%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
98.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1)))) (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(approx (* (+ (neg u1) -1) (- u1 -1)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32)) (*.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶94.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.3%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓92.2%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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)))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
70.3%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
94.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
92.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
85.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
83.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
91.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) #s(literal -1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
74.2%
(*.f32 #s(approx (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
88.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
81.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
92.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
94.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.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))
94.5%
#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) (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))) u2))
92.2%
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))) u2))
88.8%
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
79.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32))) (fma.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) u2))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
81.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
✓81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
62.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) #s(approx (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (*.f32 (*.f32 u2 #s(literal -314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1)))))
▶72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
✓63.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
63.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
▶63.6%
#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))))
81.2%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 3 552 to 2 307 computations (35.1% saved)

simplify260.0ms (2.5%)

Memory
7.9MiB live, 142.6MiB allocated; 20ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
cost-diff4
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
cost-diff0
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
cost-diff0
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
cost-diff0
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
cost-diff0
#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))))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071665
0111655
1199655
2499645
31502623
43934623
08080609
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #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))) (* 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))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #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.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))
#s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 u2 #s(literal 314159265359/100000000000 binary32))
#s(literal 314159265359/100000000000 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
u1
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 u1 u1)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #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) #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))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))
(fma.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))))
#s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2)))
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/100000000000 binary32))
(*.f32 #s(literal 314159265359/100000000000 binary32) u2)
#s(literal 314159265359/100000000000 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
u1
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 u1 u1)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2)
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
#s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
#s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize320.0ms (3.1%)

Memory
5.5MiB live, 287.9MiB allocated; 37ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.171875
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.23828125
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.3310737793053261
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
accuracy0.359375
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
accuracy0.37890625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
accuracy1.3683342132309493
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy0.3600387695368841
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
accuracy2.1011340340017344
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
accuracy5.586426999485656
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
accuracy7.722175483387905
#s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
accuracy0.3125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.32259750976844204
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))
accuracy5.586426999485656
#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))))
accuracy7.333560632640747
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
accuracy0.17578125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.38119125976844204
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Samples
188.0ms246×0valid
78.0ms10×5exit
Compiler

Compiled 473 to 64 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult: 57.0ms (34.9% of total)
const: 50.0ms (30.7% of total)
ival-add: 16.0ms (9.8% of total)
ival-div: 12.0ms (7.4% of total)
ival-sqrt: 8.0ms (4.9% of total)
adjust: 6.0ms (3.7% of total)
ival-sub: 5.0ms (3.1% of total)
ival-pow: 5.0ms (3.1% of total)
ival-sin: 3.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series289.0ms (2.8%)

Memory
21.2MiB live, 309.0MiB allocated; 53ms collecting garbage
Counts
26 → 133
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#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 (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #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))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 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)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
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)))))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2))))))))
(* 314159265359/50000000000 (sqrt u1))
1
(+ 1 (* -1 u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2))
(/ (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2))) u1)
(/ (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))))) u1)
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ 1 (* 2 (/ 1 u1)))
(+ 1 (+ (* 2 (/ 1 u1)) (/ 3 (pow u1 2))))
(+ 1 (+ (* 2 (/ 1 u1)) (+ (* 4 (/ 1 (pow u1 3))) (/ 3 (pow u1 2)))))
-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))))))
(* 314159265359/100000000000 (* (sqrt (pow u1 7)) u2))
(* (pow u1 4) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1))))
(* (pow u1 4) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)))))
(* (pow u1 4) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (+ (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 7))) u2))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)))))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(* u1 (- 1 (/ 1 u1)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/100000000000 (* (sqrt (pow u1 7)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 4) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1))))
(* (pow u1 4) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))) u1))))
(* (pow u1 4) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))) u1))) u1))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))) u1))))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) 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 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))))))))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))
(* 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)))
(* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))))
(* -1 (* u2 (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
Calls

9 calls:

TimeVariablePointExpression
90.0ms
u2
@0
((* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (* (sqrt u1) 314159265359/50000000000) (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* (* u2 314159265359/100000000000) (sqrt (/ 1 u1))) (sin (* 314159265359/50000000000 u2)) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))
51.0ms
cosTheta_i
@0
((* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (* (sqrt u1) 314159265359/50000000000) (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* (* u2 314159265359/100000000000) (sqrt (/ 1 u1))) (sin (* 314159265359/50000000000 u2)) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))
39.0ms
cosTheta_i
@-inf
((* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (* (sqrt u1) 314159265359/50000000000) (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* (* u2 314159265359/100000000000) (sqrt (/ 1 u1))) (sin (* 314159265359/50000000000 u2)) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))
26.0ms
u1
@-inf
((* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (* (sqrt u1) 314159265359/50000000000) (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* (* u2 314159265359/100000000000) (sqrt (/ 1 u1))) (sin (* 314159265359/50000000000 u2)) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))
23.0ms
u1
@0
((* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (* (* u2 314159265359/50000000000) (sqrt u1)) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (* (sqrt u1) 314159265359/50000000000) (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* (* u2 314159265359/100000000000) (sqrt (/ 1 u1))) (sin (* 314159265359/50000000000 u2)) (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))

simplify250.0ms (2.4%)

Memory
0.8MiB live, 141.9MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05482697
120162443
086602317
Stop Event
1×iter limit
1×node limit
Counts
133 → 132
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
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)))))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2))))))))
(* 314159265359/50000000000 (sqrt u1))
1
(+ 1 (* -1 u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2))
(/ (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2))) u1)
(/ (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))))) u1)
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
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-1
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(+ (* -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))))))
(* 314159265359/100000000000 (* (sqrt (pow u1 7)) u2))
(* (pow u1 4) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1))))
(* (pow u1 4) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)))))
(* (pow u1 4) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (+ (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 7))) u2))))))
(* -1 u1)
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(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 (pow u1 5))) u2)) (* 314159265359/100000000000 (/ (+ (* -1/4 (* (sqrt (/ 1 u1)) u2)) (* (sqrt (/ 1 u1)) u2)) u1)))))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(* u1 (- 1 (/ 1 u1)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 u1))) u1)) 2) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/100000000000 (* (sqrt (pow u1 7)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 4) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1))))
(* (pow u1 4) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))) u1))))
(* (pow u1 4) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))) u1))) u1))))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (/ (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) u1))))
(* (pow u1 2) (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -314159265359/100000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* -314159265359/100000000000 (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2)))))) u1))))
(* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) 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 (sqrt u1)) (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))))))))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (sqrt (/ 1 u1)) (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))
(* 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)))
(* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))))
(* -1 (* u2 (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
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(* (pow u1 2) (+ 1 (* u1 (+ 2 (* 3 u1)))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 2 (* u1 (+ 3 (* 4 u1)))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) u1 #s(literal 3 binary32)) u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)))) (*.f32 u1 u1)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* u1 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2)))) (* 314159265359/100000000000 (* (sqrt u1) u2)))))
(fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) u1) (*.f32 (sqrt.f32 u1) u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/100000000000 (+ (* -1/4 (* (sqrt u1) u2)) (* (sqrt u1) u2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 942477796077/400000000000 binary32) (*.f32 (sqrt.f32 u1) u2))) u1 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/100000000000 binary32))) u1 (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
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(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -1 (* u2 (+ (* -314159265359/50000000000 (sqrt u1)) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))))
(*.f32 (-.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))) (neg.f32 u2))
(* -1 (* u2 (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/100000000000 (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* -1 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))))
(*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u2)

rewrite318.0ms (3.1%)

Memory
4.4MiB live, 237.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071483
0111430
1369393
22635393
09077384
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 610
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
#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 (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #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))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.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 (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 (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 (neg.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (neg.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 (*.f32 u1 u1) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1)))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 3 binary32)))) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 (*.f32 u1 u1) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (neg.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 (*.f32 u1 u1) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1))) #s(literal 1/2 binary32)) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (neg.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)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal -1/4 binary32)))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (log.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))))
(pow.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(+.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(exp.f32 (-.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) #s(literal 1/8 binary32) (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) #s(literal 1/8 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) #s(literal 1/8 binary32) (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32) (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))) #s(literal 1/8 binary32))))
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(/.f32 (fabs.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))) (fabs.f32 (sqrt.f32 u1)))
(/.f32 (fabs.f32 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) #s(literal 1 binary32))) (fabs.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 314159265359/100000000000 binary32) u2)) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(fabs.f32 (*.f32 (*.f32 #s(literal -314159265359/100000000000 binary32) u2) (pow.f32 u1 #s(literal -1/2 binary32))))
(fabs.f32 (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))
(*.f32 (neg.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (fabs.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fabs.f32 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 3 binary32)))) #s(literal -1 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 (*.f32 u1 u1) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1))) #s(literal -1 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(fabs.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(fabs.f32 (neg.f32 (exp.f32 (neg.f32 (log1p.f32 u1)))))
(fabs.f32 (exp.f32 (neg.f32 (log1p.f32 u1))))
(+.f32 (cosh.f32 (neg.f32 (log1p.f32 u1))) (sinh.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32)))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (fabs.f32 (/.f32 (*.f32 u1 u1) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (fabs.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fabs.f32 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (fabs.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) u1)
(*.f32 (/.f32 (*.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 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1)
(*.f32 (neg.f32 u1) (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 u1 (fabs.f32 (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 u1 (fabs.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 u1 u1) (fabs.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(/.f32 (*.f32 u1 u1) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 (*.f32 u1 u1) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32)))
(fabs.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))
(neg.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) u1))

eval75.0ms (0.7%)

Memory
14.1MiB live, 155.0MiB allocated; 26ms collecting garbage
Compiler

Compiled 27 636 to 3 007 computations (89.1% saved)

prune195.0ms (1.9%)

Memory
-47.1MiB live, 201.0MiB allocated; 28ms collecting garbage
Pruning

64 alts after pruning (59 fresh and 5 done)

PrunedKeptTotal
New62825653
Fresh83442
Picked325
Done134
Total64064704
Accuracy
99.9%
Counts
704 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
94.3%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
91.9%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
97.8%
(*.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)))))
✓98.2%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.9%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
92.8%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) u1) #s(literal 1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.7%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1)))) (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(approx (* (+ (neg u1) -1) (- u1 -1)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) u1) #s(literal 1 binary32)) (*.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1)) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
31.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(approx (/ (* u1 u1) (+ 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(approx (/ (* u1 u1) (+ 1 u1)) (*.f32 (*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
94.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
87.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ 1 (+ 1 u1)) (fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
20.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ 1 (+ 1 u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
98.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
✓98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
71.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
92.3%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #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)))
96.4%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
70.3%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
94.6%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
88.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
85.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
83.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
91.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) #s(literal -1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
74.2%
(*.f32 #s(approx (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.1%
#s(approx (* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
81.4%
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
88.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
81.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
94.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.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))
94.5%
#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) (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))) u2))
92.2%
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))) u2))
88.8%
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
81.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
✓81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
72.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
61.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (neg.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1)) u1))))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
61.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 2 binary32)) u1) (pow.f32 (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))) #s(literal 2 binary32))) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))))))))
✓63.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
63.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
63.6%
#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)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
63.6%
#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)) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
✓63.6%
#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))))
75.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) u1) (*.f32 (sqrt.f32 u1) u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))))
81.2%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 6 098 to 2 160 computations (64.6% saved)

regimes215.0ms (2.1%)

Memory
33.6MiB live, 409.7MiB allocated; 32ms collecting garbage
Counts
99 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 2 binary32)) u1) (pow.f32 (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))) #s(literal 2 binary32))) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))))))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32))) (fma.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

30.0ms
cosTheta_i
29.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
26.0ms
u1
26.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%1cosTheta_i
98.5%1u1
98.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes157.0ms (1.5%)

Memory
7.1MiB live, 290.5MiB allocated; 20ms collecting garbage
Counts
74 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (neg.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) u1) (*.f32 (sqrt.f32 u1) u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1)))) (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.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)))
Calls

8 calls:

21.0ms
cosTheta_i
21.0ms
u1
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms
u2
Results
AccuracySegmentsBranch
98.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%1cosTheta_i
98.4%1u1
98.4%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes178.0ms (1.7%)

Memory
-6.4MiB live, 281.9MiB allocated; 74ms collecting garbage
Counts
66 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (neg.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) u1) (*.f32 (sqrt.f32 u1) u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ 1 (+ 1 u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(approx (/ (* u1 u1) (+ 1 u1)) (*.f32 (*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(approx (/ (* u1 u1) (+ 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ 1 (+ 1 u1)) (fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1)) (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
#s(approx (* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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)) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) #s(approx (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (*.f32 (*.f32 u2 #s(literal -314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.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))
#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) (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 u2 u2) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))) u2))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) #s(literal -1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

48.0ms
u2
21.0ms
u1
18.0ms
cosTheta_i
18.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
98.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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%1cosTheta_i
98.3%1u1
98.3%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes197.0ms (1.9%)

Memory
2.0MiB live, 231.4MiB allocated; 19ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
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#s(approx (* (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1) u1 (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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)) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (* (/ u1 (- 1 u1)) (/ u1 (- 1 u1))) 1/4) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1)))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) #s(approx (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1))) (*.f32 (*.f32 u2 #s(literal -314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2)) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

54.0ms
cosTheta_i
34.0ms
u2
30.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
94.6%1cosTheta_i
94.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
94.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.6%1u1
94.6%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes465.0ms (4.5%)

Memory
-25.1MiB live, 249.5MiB allocated; 805ms collecting garbage
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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (neg.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) u1) (*.f32 (sqrt.f32 u1) u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ 1 (+ 1 u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(approx (/ (* u1 u1) (+ 1 u1)) (*.f32 (*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(approx (/ (* u1 u1) (+ 1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

382.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms
u1
13.0ms
cosTheta_i
13.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
94.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
94.6%1u2
94.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.6%1cosTheta_i
94.6%1u1
94.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes148.0ms (1.4%)

Memory
-0.5MiB live, 235.0MiB allocated; 96ms collecting garbage
Counts
28 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (neg.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) #s(approx (+ (* (* (sqrt u1) 314159265359/50000000000) u2) (* (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (* u1 u1))) (fma.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) (fma.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) u1) (*.f32 (sqrt.f32 u1) u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#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) #s(approx (+ (* (pow u2 4) (+ (* (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 314159265359/100000000000 binary32)) (*.f32 u2 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

34.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
26.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
21.0ms
cosTheta_i
19.0ms
u2
Results
AccuracySegmentsBranch
94.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
94.5%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.5%1u2
94.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.5%1cosTheta_i
94.5%1u1
94.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes73.0ms (0.7%)

Memory
-11.6MiB live, 173.7MiB allocated; 29ms collecting garbage
Counts
20 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 (neg.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1)) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
u1
8.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
92.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.3%1u2
92.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.3%1cosTheta_i
92.3%1u1
92.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes36.0ms (0.3%)

Memory
22.6MiB live, 117.3MiB allocated; 3ms collecting garbage
Counts
13 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

5.0ms
cosTheta_i
5.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.0ms
u2
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
88.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.8%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.8%1cosTheta_i
88.8%1u1
88.8%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes34.0ms (0.3%)

Memory
-6.8MiB live, 88.2MiB allocated; 6ms collecting garbage
Counts
12 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32))) u1) u1 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u1 u1) #s(approx (+ (* (* u1 314159265359/100000000000) (+ (* (* (- 1 (/ 1/4 u1)) (sqrt u1)) u2) (* (sqrt (/ 1 u1)) u2))) (* (* 314159265359/100000000000 u2) (sqrt (/ 1 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)))))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

5.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
u2
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
u1
Results
AccuracySegmentsBranch
83.0%1cosTheta_i
87.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.1%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.8%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.8%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.8%2u1
87.5%2u2
83.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes24.0ms (0.2%)

Memory
20.0MiB live, 66.6MiB allocated; 2ms collecting garbage
Counts
8 → 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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
81.3%1cosTheta_i
81.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
81.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
81.3%1u2
81.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.3%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes14.0ms (0.1%)

Memory
-5.6MiB live, 40.7MiB allocated; 2ms collecting garbage
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) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

2.0ms
u1
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
cosTheta_i
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
63.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.6%1u1
63.6%1u2
63.6%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes13.0ms (0.1%)

Memory
-3.1MiB live, 43.3MiB allocated; 3ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 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) #s(literal 314159265359/50000000000 binary32)) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
Calls

8 calls:

3.0ms
cosTheta_i
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
63.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.6%1cosTheta_i
63.6%1u1
63.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.6%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes9.0ms (0.1%)

Memory
24.2MiB live, 24.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1.0ms
u1
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
63.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
63.6%1cosTheta_i
63.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.6%1u2
63.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
63.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
63.6%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch84.0ms (0.8%)

Memory
-48.7MiB live, 0.8MiB allocated; 48ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.019193528220057487
0.024169284850358963
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify64.0ms (0.6%)

Memory
17.2MiB live, 67.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093380
1114380
2143380
3165380
4196380
5402380
63067380
77031380
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(if (<=.f32 u1 #s(literal 5368709/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (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 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(if (<=.f32 u1 #s(literal 5368709/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2)) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))

derivations1.2s (12%)

Memory
34.5MiB live, 1 201.6MiB allocated; 158ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068451
0120441
1399413
03064409
053427
094363
1308363
22318361
09166351
06815051
124734324
082954033
0186776
1647686
22944671
08646633
071483
0111430
1369393
22635393
09077384
05052547
118802254
088722119
01028
01628
14228
019728
Stop Event
1×fuel
1×iter limit
1×iter limit
1×iter limit
1×unsound
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×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 380 to 96 computations (74.7% saved)

preprocess65.0ms (0.6%)

Memory
-16.3MiB live, 175.2MiB allocated; 18ms collecting garbage
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 950 to 334 computations (64.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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