Beckmann Sample, near normal, slope_x

Time bar (total: 10.1s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze352.0ms (3.5%)

Memory
45.1MiB live, 381.3MiB allocated; 23ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample2.2s (21.3%)

Memory
95.6MiB live, 3 214.2MiB allocated; 858ms collecting garbage
Samples
1.7s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
const: 334.0ms (24.5% of total)
ival-cosu: 314.0ms (23.1% of total)
ival-<=: 217.0ms (16% of total)
ival-log: 161.0ms (11.8% of total)
ival-sqrt: 78.0ms (5.7% of total)
ival-mult: 66.0ms (4.9% of total)
ival-neg: 64.0ms (4.7% of total)
ival-sub: 52.0ms (3.8% of total)
ival-and: 36.0ms (2.6% of total)
ival->: 28.0ms (2.1% of total)
exact: 6.0ms (0.4% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain163.0ms (1.6%)

Memory
-19.1MiB live, 231.4MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2035(0.9999374151229858 0.004522622562944889 0.09788829833269119)3(0.9999371767044067 0.011452642269432545 1.943787708569289e-8)(log.f32 (-.f32 #s(literal 1 binary32) u1))
20-2(0.9999381303787231 0.06709928065538406 0.7392313480377197)(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-u2
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-u1
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u1))sensitivity2059
Confusion
Predicted +Predicted -
+1943
-1148
Precision
0.9463414634146341
Recall
0.9847715736040609
Confusion?
Predicted +Predicted MaybePredicted -
+19430
-11840
Precision?
0.9120370370370371
Recall?
1.0
Freqs
test
numberfreq
051
1205
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms512×0valid
Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pi: 11.0ms (23.3% of total)
ival-mult: 10.0ms (21.1% of total)
ival-cosu: 8.0ms (16.9% of total)
ival-log: 8.0ms (16.9% of total)
ival-sub: 3.0ms (6.3% of total)
ival-sqrt: 3.0ms (6.3% of total)
ival-neg: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess203.0ms (2%)

Memory
-16.9MiB live, 214.2MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042122
192122
2197122
3425122
4872122
51513122
62380122
75174122
01313
02213
13613
26113
312013
421713
531413
634413
740213
846413
947713
1057513
11106913
12269413
13570013
14752913
0879113
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% 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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify140.0ms (1.4%)

Memory
34.2MiB live, 180.9MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
02250
13650
26150
312050
421750
531450
634450
740250
846450
947750
1057550
11106950
12269450
13570050
14752950
0879150
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize38.0ms (0.4%)

Memory
-29.7MiB live, 61.5MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1489079981959479
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.203125
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.28515625
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy14.287779114280307
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
27.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 4.0ms (23.2% of total)
ival-cosu: 4.0ms (23.2% of total)
ival-log: 4.0ms (23.2% of total)
ival-sqrt: 2.0ms (11.6% of total)
ival-pi: 1.0ms (5.8% of total)
ival-sub: 1.0ms (5.8% of total)
ival-neg: 1.0ms (5.8% 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)

series64.0ms (0.6%)

Memory
26.9MiB live, 72.0MiB allocated; 7ms collecting garbage
Counts
6 → 59
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))
Calls

9 calls:

TimeVariablePointExpression
44.0ms
u2
@inf
((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
7.0ms
u2
@-inf
((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms
u2
@0
((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@-inf
((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify231.0ms (2.3%)

Memory
0.1MiB live, 243.6MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061647
110511359
243601355
081271293
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/4 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))) u1)) (*.f32 u1 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 u1 u1)) #s(literal -1/2 binary32))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (*.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 u1 u1)) #s(literal -1/2 binary32))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.f32 (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (-.f32 (log.f32 u1) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)) (log.f32 #s(literal -1 binary32)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)))) u1) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)))) u1) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (neg.f32 u1)))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32) #s(literal 1/3 binary32)) u1))) u1) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32))) (neg.f32 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))

rewrite108.0ms (1.1%)

Memory
9.7MiB live, 99.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02239
16739
235639
0317735
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 159
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Outputs
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(+.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (neg.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
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(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32))))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (neg.f32 u2) (PI.f32))) (sin.f32 (*.f32 (neg.f32 u2) (PI.f32)))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (cos.f32 (*.f32 u2 (PI.f32)))) (neg.f32 (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(fma.f32 (fabs.f32 (cos.f32 (*.f32 u2 (PI.f32)))) (fabs.f32 (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 1 binary32)))
(cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))

eval34.0ms (0.3%)

Memory
-6.6MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 361 to 1 025 computations (80.9% saved)

prune29.0ms (0.3%)

Memory
-18.4MiB live, 32.4MiB allocated; 9ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New19324217
Fresh000
Picked101
Done000
Total19424218
Accuracy
99.5%
Counts
218 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.7%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
96.2%
(*.f32 (pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
47.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 966 to 846 computations (12.4% saved)

simplify171.0ms (1.7%)

Memory
23.1MiB live, 111.7MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))
cost-diff8
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
cost-diff1
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))
cost-diff6
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))
cost-diff0
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
cost-diff0
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff1
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056423
095397
1149397
2307397
31277391
45304391
08150391
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32))
(*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/4 binary32) u1)
#s(literal -1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2)
(*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))
#s(literal 2 binary32)
(pow.f32 (PI.f32) #s(literal 3 binary32))
(PI.f32)
#s(literal 3 binary32)
u2
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))
#s(literal 0 binary32)
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/4 binary32)
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))))
(cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))
u2
(*.f32 #s(literal -2 binary32) (PI.f32))
#s(literal -2 binary32)
(PI.f32)
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32))
(*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/4 binary32) u1)
#s(literal -1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2)
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(pow.f32 (PI.f32) #s(literal 3 binary32))
(PI.f32)
#s(literal 3 binary32)
u2
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))
(*.f32 (PI.f32) (PI.f32))
#s(literal 0 binary32)
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/4 binary32)
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)
u2
(*.f32 #s(literal -2 binary32) (PI.f32))
#s(literal -2 binary32)
(PI.f32)

localize212.0ms (2.1%)

Memory
3.3MiB live, 148.4MiB allocated; 16ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1489079981959479
(cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))
accuracy0.19140625
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))))
accuracy0.28515625
(*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))
accuracy0.44759750976844204
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
accuracy0.33203125
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))
accuracy1.0
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))
accuracy1.0
(pow.f32 (PI.f32) #s(literal 3 binary32))
accuracy14.287779114280307
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.28515625
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
accuracy0.28515625
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.296875
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
accuracy1.9359000049028583
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
accuracy0.08984375
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.203125
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy7.148745511532133
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy14.287779114280307
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.09375
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
accuracy0.1489079981959479
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.203125
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.28515625
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Samples
156.0ms256×0valid
Compiler

Compiled 381 to 49 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 51.0ms (37.8% of total)
ival-sub: 25.0ms (18.5% of total)
ival-add: 24.0ms (17.8% of total)
ival-pow: 7.0ms (5.2% of total)
ival-cos: 5.0ms (3.7% of total)
const: 4.0ms (3% of total)
ival-cosu: 4.0ms (3% of total)
ival-log: 4.0ms (3% of total)
ival-sqrt: 3.0ms (2.2% of total)
ival-neg: 3.0ms (2.2% of total)
ival-log1p: 2.0ms (1.5% of total)
ival-div: 1.0ms (0.7% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series112.0ms (1.1%)

Memory
10.0MiB live, 95.0MiB allocated; 14ms collecting garbage
Counts
26 → 125
Calls
Call 1
Inputs
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(pow.f32 (PI.f32) #s(literal 3 binary32))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))))
(cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))
Outputs
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(pow (* 1 u1) 1/4)
(+ (* 1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 23/384 (pow (* 1 (pow u1 5)) 1/4)) (* 1/8 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* 39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(* -1/2 u1)
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2))
-1/3
(- (* -1/4 u1) 1/3)
(* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI)))))
(+ (* 1/8 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* -2 (* u2 (PI)))))) (* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI))))))
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1
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Calls

9 calls:

TimeVariablePointExpression
48.0ms
u2
@-inf
((pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)) (+ (* (PI) (PI)) 0) (* (sqrt (neg (log (- 1 u1)))) (cos (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (pow (PI) 3) (* u2 (* -2 (PI))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (cos (* u2 (* -2 (PI)))))
22.0ms
u2
@inf
((pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)) (+ (* (PI) (PI)) 0) (* (sqrt (neg (log (- 1 u1)))) (cos (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (pow (PI) 3) (* u2 (* -2 (PI))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (cos (* u2 (* -2 (PI)))))
20.0ms
u1
@inf
((pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)) (+ (* (PI) (PI)) 0) (* (sqrt (neg (log (- 1 u1)))) (cos (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (pow (PI) 3) (* u2 (* -2 (PI))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (cos (* u2 (* -2 (PI)))))
12.0ms
u1
@-inf
((pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)) (+ (* (PI) (PI)) 0) (* (sqrt (neg (log (- 1 u1)))) (cos (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (pow (PI) 3) (* u2 (* -2 (PI))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (cos (* u2 (* -2 (PI)))))
3.0ms
u1
@0
((pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)) (+ (* (PI) (PI)) 0) (* (sqrt (neg (log (- 1 u1)))) (cos (/ (* (* 2 (pow (PI) 3)) u2) (+ (* (PI) (PI)) 0)))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (pow (PI) 3) (* u2 (* -2 (PI))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (cos (* u2 (* -2 (PI)))))

simplify185.0ms (1.8%)

Memory
1.7MiB live, 140.6MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06494264
122943673
093133516
Stop Event
iter limit
node limit
Counts
125 → 124
Calls
Call 1
Inputs
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
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(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(pow (* 1 u1) 1/4)
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(* -1/2 u1)
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-1/3
(- (* -1/4 u1) 1/3)
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(+ (* u1 (+ (* 23/384 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* -2 (* u2 (PI)))))) (* 1/8 (* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI)))))))) (* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI))))))
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(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (cos (* -2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(pow (* 1 (log (/ -1 u1))) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* 1 (log (/ -1 u1))) 1/4))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ -1 u1)) 3)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4))
(* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* (pow (* 1 (log (/ -1 u1))) 1/4) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (/ (cos (* -2 (* u2 (PI)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (cos (* -2 (* u2 (PI))))))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (* (cos (* -2 (* u2 (PI)))) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2))))) u1))) (* -1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (cos (* -2 (* u2 (PI))))))) u1)) (* (pow (* 1 (log (/ -1 u1))) 1/4) (cos (* -2 (* u2 (PI))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (* (cos (* -2 (* u2 (PI)))) (- (+ (* -1/32 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ -1 u1)) 3))))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (* (cos (* -2 (* u2 (PI)))) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2))))))) u1)) (* -1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (cos (* -2 (* u2 (PI))))))) u1)) (* (pow (* 1 (log (/ -1 u1))) 1/4) (cos (* -2 (* u2 (PI))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* -2 (* u2 (PI)))
(pow (* -1 (log (- 1 u1))) 1/4)
(+ (* -2 (* (pow (* -1 (log (- 1 u1))) 1/4) (* (pow u2 2) (pow (PI) 2)))) (pow (* -1 (log (- 1 u1))) 1/4))
(+ (* (pow u2 2) (+ (* -2 (* (pow (* -1 (log (- 1 u1))) 1/4) (pow (PI) 2))) (* 2/3 (* (pow (* -1 (log (- 1 u1))) 1/4) (* (pow u2 2) (pow (PI) 4)))))) (pow (* -1 (log (- 1 u1))) 1/4))
(+ (* (pow u2 2) (+ (* -2 (* (pow (* -1 (log (- 1 u1))) 1/4) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (pow (* -1 (log (- 1 u1))) 1/4) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (pow (* -1 (log (- 1 u1))) 1/4) (pow (PI) 4))))))) (pow (* -1 (log (- 1 u1))) 1/4))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))
(* (pow (* -1 (log (- 1 u1))) 1/4) (cos (* -2 (* u2 (PI)))))
(cos (* -2 (* u2 (PI))))
Outputs
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32)))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1)))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) (+.f32 (/.f32 #s(literal 1/16 binary32) (neg.f32 u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)) (*.f32 u1 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 #s(literal 1/16 binary32) (neg.f32 u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)))) u1)) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(pow (* 1 u1) 1/4)
(pow.f32 u1 #s(literal 1/4 binary32))
(+ (* 1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))
(+ (* u1 (+ (* 23/384 (pow (* 1 (pow u1 5)) 1/4)) (* 1/8 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(fma.f32 (fma.f32 #s(literal 23/384 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))) u1 (pow.f32 u1 #s(literal 1/4 binary32)))
(+ (* u1 (+ (* 1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* 39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(fma.f32 (fma.f32 (fma.f32 #s(literal 39/1024 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 23/384 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))) u1 (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))) u1 (pow.f32 u1 #s(literal 1/4 binary32)))
(* -1/2 u1)
(*.f32 #s(literal -1/2 binary32) u1)
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1)
(* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
-1/3
#s(literal -1/3 binary32)
(- (* -1/4 u1) 1/3)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI)))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* 1/8 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* -2 (* u2 (PI)))))) (* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32))))
(+ (* u1 (+ (* 23/384 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* -2 (* u2 (PI)))))) (* 1/8 (* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI)))))))) (* (pow (* 1 u1) 1/4) (cos (* -2 (* u2 (PI))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 23/384 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32))))) u1 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
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(fma.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(+ (* (pow u2 2) (+ (* -2 (* (pow (* -1 (log (- 1 u1))) 1/4) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (pow (* -1 (log (- 1 u1))) 1/4) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (pow (* -1 (log (- 1 u1))) 1/4) (pow (PI) 4))))))) (pow (* -1 (log (- 1 u1))) 1/4))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2)))) (*.f32 u2 u2))) (*.f32 u2 u2) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (pow (* -1 (log (- 1 u1))) 1/4) (cos (* -2 (* u2 (PI)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(cos (* -2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite276.0ms (2.7%)

Memory
-19.1MiB live, 347.1MiB allocated; 143ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056272
095259
1259259
21489255
08373248
Stop Event
iter limit
node limit
iter limit
Counts
26 → 971
Calls
Call 1
Inputs
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(pow.f32 (PI.f32) #s(literal 3 binary32))
(*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)))))
(cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))
Outputs
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))) (neg.f32 (neg.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3/8 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (neg.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3/8 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (cosh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (-.f32 (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))) (*.f32 (cosh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 u1))))
(pow.f32 (*.f32 (*.f32 (log1p.f32 u1) (log1p.f32 u1)) (*.f32 (log1p.f32 u1) (log1p.f32 u1))) #s(literal 1/8 binary32))
(pow.f32 (neg.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (log1p.f32 u1) (log1p.f32 u1)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(+.f32 (cosh.f32 (fma.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32) (log.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))))) (sinh.f32 (fma.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32) (log.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) #s(literal 2 binary32))))
(+.f32 (cosh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (sinh.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (log1p.f32 u1) (log1p.f32 u1))) #s(literal 1/4 binary32)))
(exp.f32 (fma.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32) (log.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/8 binary32)) (*.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (cosh.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) (sinh.f32 (log.f32 (neg.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 u1)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 u1 u1) u1)))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log1p.f32 (neg.f32 u1))
(log1p.f32 u1)
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (neg.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)))
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(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (*.f32 (sin.f32 (neg.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (neg.f32 (*.f32 u2 (PI.f32))))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(fma.f32 (sin.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32))))))
(cos.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))))
(cos.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32))))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))

eval169.0ms (1.7%)

Memory
-12.9MiB live, 316.4MiB allocated; 61ms collecting garbage
Compiler

Compiled 38 816 to 5 630 computations (85.5% saved)

prune98.0ms (1%)

Memory
3.2MiB live, 212.0MiB allocated; 26ms collecting garbage
Pruning

44 alts after pruning (41 fresh and 3 done)

PrunedKeptTotal
New1 225291 254
Fresh71219
Picked235
Done000
Total1 234441 278
Accuracy
99.9%
Counts
1 278 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.9%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.5%
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.6%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
98.9%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.8%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.1%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
91.7%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
92.1%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/4) (fma.f32 (fma.f32 #s(literal 23/384 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))) u1 (pow.f32 u1 #s(literal 1/4 binary32)))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
78.5%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
93.5%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 39/1024 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 23/384 binary32) (pow.f32 u1 #s(literal 1/4 binary32))))) u1 (*.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) u1 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))))
92.4%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2)))) (*.f32 u2 u2))) (*.f32 u2 u2) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))))
86.6%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))))
89.5%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
96.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)))))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
47.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.2%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
93.6%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.2%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
86.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
82.7%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
74.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
54.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.9%
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.7%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
90.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
Compiler

Compiled 2 429 to 2 003 computations (17.5% saved)

simplify226.0ms (2.2%)

Memory
-17.1MiB live, 252.5MiB allocated; 79ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
cost-diff0
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
cost-diff0
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
cost-diff0
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
cost-diff7
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
cost-diff0
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff3
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff1
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff1
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
cost-diff3
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073643
0118626
1201606
2389606
3976606
42915606
57356606
08576604
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) (PI.f32))
#s(literal -2 binary32)
(PI.f32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32))
(*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/4 binary32) u1)
#s(literal -1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) (PI.f32))
#s(literal -2 binary32)
(PI.f32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
#s(literal 2 binary32)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
#s(literal 1/6 binary32)
(sqrt.f32 u1)
(*.f32 u1 u1)
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32))
(*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/4 binary32) u1)
#s(literal -1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))
(exp.f32 (PI.f32))
(PI.f32)
(*.f32 u2 #s(literal 2 binary32))
u2
#s(literal 2 binary32)
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(neg.f32 (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32))
(*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/4 binary32) u1)
#s(literal -1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(PI.f32)
u2
#s(literal 2 binary32)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
#s(literal 1/6 binary32)
(sqrt.f32 u1)
(*.f32 u1 u1)
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
(*.f32 (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32))
(*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal -1/4 binary32) u1)
#s(literal -1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))))
(cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2))
(exp.f32 (PI.f32))
(PI.f32)
(*.f32 u2 #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) u2)
u2
#s(literal 2 binary32)

localize254.0ms (2.5%)

Memory
21.4MiB live, 350.4MiB allocated; 49ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.296875
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
accuracy1.58496250072115
(exp.f32 (PI.f32))
accuracy1.9359000049028583
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
accuracy12.029765468613535
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
accuracy0.18359375
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
accuracy0.28515625
(*.f32 (PI.f32) u2)
accuracy0.37890625
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
accuracy2.6504698518127237
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
accuracy0.28515625
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
accuracy0.296875
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
accuracy0.3203125
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy1.9359000049028583
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
accuracy0.0
(sqrt.f32 u1)
accuracy0.203125
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy7.148745511532133
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy30.892601004021696
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
accuracy0.08623756092597981
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
accuracy0.09375
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
accuracy0.203125
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.3203125
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
Samples
180.0ms256×0valid
Compiler

Compiled 494 to 65 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult: 35.0ms (22.6% of total)
ival-pow: 33.0ms (21.3% of total)
ival-sqrt: 20.0ms (12.9% of total)
ival-cos: 19.0ms (12.3% of total)
ival-sin: 9.0ms (5.8% of total)
const: 7.0ms (4.5% of total)
ival-log: 7.0ms (4.5% of total)
ival-sub: 5.0ms (3.2% of total)
ival-cosu: 4.0ms (2.6% of total)
ival-div: 3.0ms (1.9% of total)
ival-exp: 3.0ms (1.9% of total)
ival-add: 3.0ms (1.9% of total)
ival-neg: 3.0ms (1.9% of total)
ival-log1p: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series162.0ms (1.6%)

Memory
-1.4MiB live, 194.2MiB allocated; 74ms collecting garbage
Counts
26 → 159
Calls
Call 1
Inputs
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(*.f32 (PI.f32) u2)
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(exp.f32 (PI.f32))
Outputs
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (sqrt u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* u1 (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))
(/ (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))) u1)
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* -1/2 u1)
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2))
-1/3
(- (* -1/4 u1) 1/3)
(* 1/6 (sqrt u1))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(* u2 (PI))
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))
(* 2 (* u2 (PI)))
(* u2 (+ (* 1/2 (* u2 (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* u2 (+ (* 1/6 (* u2 (+ (* -24 (pow (PI) 3)) (+ (* 8 (pow (PI) 3)) (* 16 (pow (PI) 3)))))) (* 1/2 (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))))
(* u2 (+ (* 2 (PI)) (* u2 (+ (* 1/2 (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) (* u2 (+ (* 1/24 (* u2 (+ (* -96 (pow (PI) 4)) (+ (* -64 (pow (PI) 4)) (+ (* -48 (pow (PI) 4)) (+ (* 16 (pow (PI) 4)) (* 192 (pow (PI) 4)))))))) (* 1/6 (+ (* -24 (pow (PI) 3)) (+ (* 8 (pow (PI) 3)) (* 16 (pow (PI) 3)))))))))))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (sqrt (log (- 1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(cos (* 2 (* u2 (PI))))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
Calls

9 calls:

TimeVariablePointExpression
90.0ms
u2
@inf
((sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (log (pow (exp (PI)) (* u2 2))))) (log (- 1 u1)) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (* 1/6 (sqrt u1)) (* (PI) u2) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (log (pow (exp (PI)) (* u2 2))) (exp (PI)))
41.0ms
u2
@-inf
((sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (log (pow (exp (PI)) (* u2 2))))) (log (- 1 u1)) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (* 1/6 (sqrt u1)) (* (PI) u2) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (log (pow (exp (PI)) (* u2 2))) (exp (PI)))
10.0ms
u1
@-inf
((sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (log (pow (exp (PI)) (* u2 2))))) (log (- 1 u1)) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (* 1/6 (sqrt u1)) (* (PI) u2) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (log (pow (exp (PI)) (* u2 2))) (exp (PI)))
6.0ms
u2
@0
((sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (log (pow (exp (PI)) (* u2 2))))) (log (- 1 u1)) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (* 1/6 (sqrt u1)) (* (PI) u2) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (log (pow (exp (PI)) (* u2 2))) (exp (PI)))
5.0ms
u1
@0
((sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (log (pow (exp (PI)) (* u2 2))))) (log (- 1 u1)) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (- (* (- (* -1/4 u1) 1/3) u1) 1/2) u1) (- (* -1/4 u1) 1/3) (* 1/6 (sqrt u1)) (* (PI) u2) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (log (pow (exp (PI)) (* u2 2))) (exp (PI)))

simplify187.0ms (1.9%)

Memory
35.7MiB live, 266.2MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07875179
129434320
084934087
Stop Event
iter limit
node limit
Counts
159 → 158
Calls
Call 1
Inputs
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (sqrt u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* u1 (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))
(/ (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))) u1)
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* -1/2 u1)
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2))
-1/3
(- (* -1/4 u1) 1/3)
(* 1/6 (sqrt u1))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* 1/6 (* (sqrt (pow u1 5)) (cos (* 2 (* u2 (PI))))))
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(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(+ (* 1/2 (* (/ (cos (* -2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1/4 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* -1/4 u1)
(* -1 (* u1 (+ 1/4 (* 1/3 (/ 1 u1)))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
(* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow u1 5)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) u1)) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (cos (* -2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(* -1/6 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1)))
(+ (* -2 (* (* u2 (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (+ (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (pow (PI) 6))) (* -4/45 (* (pow u1 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))))))))
(+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))
(+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2/3 (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* -1 (* (* u2 (* (PI) (* (sqrt -1) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* u2 (+ (* -1 (* (* (PI) (* (sqrt -1) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))) (sqrt (log (- 1 u1))))) (* (* u2 (* (sqrt -1) (+ (* -1/3 (* (PI) (+ (* -24 (pow (PI) 3)) (+ (* 8 (pow (PI) 3)) (* 16 (pow (PI) 3)))))) (+ (* -1/8 (pow (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) 2)) (* 2/3 (pow (PI) 4)))))) (sqrt (log (- 1 u1)))))))))
(* 1/2 (PI))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(* u2 (PI))
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))
(* 2 (* u2 (PI)))
(* u2 (+ (* 1/2 (* u2 (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* u2 (+ (* 1/6 (* u2 (+ (* -24 (pow (PI) 3)) (+ (* 8 (pow (PI) 3)) (* 16 (pow (PI) 3)))))) (* 1/2 (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))))
(* u2 (+ (* 2 (PI)) (* u2 (+ (* 1/2 (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) (* u2 (+ (* 1/24 (* u2 (+ (* -96 (pow (PI) 4)) (+ (* -64 (pow (PI) 4)) (+ (* -48 (pow (PI) 4)) (+ (* 16 (pow (PI) 4)) (* 192 (pow (PI) 4)))))))) (* 1/6 (+ (* -24 (pow (PI) 3)) (+ (* 8 (pow (PI) 3)) (* 16 (pow (PI) 3)))))))))))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (sqrt (log (- 1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(cos (* 2 (* u2 (PI))))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
Outputs
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)) #s(literal -1 binary32))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)) #s(literal -1 binary32)))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)) #s(literal -1 binary32)))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))) (sqrt.f32 u1)) #s(literal -1 binary32)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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1
#s(literal 1 binary32)
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(* 1/2 (PI))
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(* u2 (PI))
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(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
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(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* -2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2)
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))))

rewrite210.0ms (2.1%)

Memory
-6.6MiB live, 286.8MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073359
0118333
1350318
21984318
08178313
Stop Event
iter limit
node limit
iter limit
Counts
26 → 428
Calls
Call 1
Inputs
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
#s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(*.f32 (PI.f32) u2)
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(exp.f32 (PI.f32))
Outputs
(/.f32 (+.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32)))) (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) #s(literal 2 binary32))
(/.f32 (+.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (-.f32 (cos.f32 (-.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (neg.f32 (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))))))
(/.f32 (fma.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32)))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (-.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32))) (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (*.f32 (sin.f32 (neg.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (neg.f32 (*.f32 u2 (PI.f32))))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
(-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))))))
(fma.f32 (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))
(sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))))) (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))))))
(+.f32 (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
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(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) #s(literal 1/9 binary32)) (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 3 binary32)) #s(literal 1/27 binary32)) (fma.f32 #s(literal 1/16 binary32) (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/12 binary32) #s(literal 1/9 binary32))))
(-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/16 binary32) (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/12 binary32) #s(literal 1/9 binary32)))) (/.f32 #s(literal 1/27 binary32) (fma.f32 #s(literal 1/16 binary32) (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/12 binary32) #s(literal 1/9 binary32)))))
(-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 1 binary32)))
(*.f32 (PI.f32) u2)
(+.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 u2 #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 u2 #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 (*.f32 u2 #s(literal 1 binary32)) #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (/.f32 (*.f32 u2 #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (*.f32 u2 #s(literal -2 binary32)))))
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (*.f32 u2 #s(literal -2 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (*.f32 u2 #s(literal -2 binary32))) (PI.f32))
(*.f32 (neg.f32 u2) (*.f32 (PI.f32) #s(literal -2 binary32)))
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -2 binary32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 #s(literal 1 binary32))) (PI.f32))
(*.f32 (fma.f32 u2 #s(literal 1 binary32) (*.f32 u2 #s(literal 1 binary32))) (PI.f32))
(*.f32 (*.f32 u2 #s(literal -2 binary32)) (neg.f32 (PI.f32)))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 (PI.f32)) (log.f32 (exp.f32 #s(literal 2 binary32))))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (exp.f32 u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 u2 (neg.f32 (*.f32 (PI.f32) #s(literal -2 binary32))))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal -2 binary32) (neg.f32 (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u2 (PI.f32)))
(fma.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 u2 (PI.f32)))
(fma.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32) (*.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))
(fma.f32 (PI.f32) (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (PI.f32)))
(fma.f32 (PI.f32) u2 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (neg.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (log.f32 (neg.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))
(+.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(neg.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(*.f32 (exp.f32 (cosh.f32 (log.f32 (PI.f32)))) (exp.f32 (sinh.f32 (log.f32 (PI.f32)))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (PI.f32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cosh.f32 (PI.f32)) (cosh.f32 (PI.f32)) (-.f32 (pow.f32 (sinh.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (PI.f32))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (PI.f32))))) #s(literal 4 binary32))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (PI.f32)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (PI.f32)) (cosh.f32 (PI.f32)) (-.f32 (pow.f32 (sinh.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (pow.f32 (cosh.f32 (PI.f32)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (PI.f32)))) (/.f32 (pow.f32 (sinh.f32 (PI.f32)) #s(literal 2 binary32)) (exp.f32 (neg.f32 (PI.f32)))))
(pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(+.f32 (/.f32 (pow.f32 (cosh.f32 (PI.f32)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (PI.f32)) (cosh.f32 (PI.f32)) (-.f32 (pow.f32 (sinh.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))))) (/.f32 (pow.f32 (sinh.f32 (PI.f32)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (PI.f32)) (cosh.f32 (PI.f32)) (-.f32 (pow.f32 (sinh.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))))))
(+.f32 (sinh.f32 (PI.f32)) (cosh.f32 (PI.f32)))
(+.f32 (cosh.f32 (PI.f32)) (sinh.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))))
(exp.f32 (PI.f32))

eval78.0ms (0.8%)

Memory
6.5MiB live, 143.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 39 545 to 3 058 computations (92.3% saved)

prune84.0ms (0.8%)

Memory
-11.9MiB live, 135.3MiB allocated; 27ms collecting garbage
Pruning

47 alts after pruning (44 fresh and 3 done)

PrunedKeptTotal
New71225737
Fresh171936
Picked505
Done033
Total73447781
Accuracy
100.0%
Counts
781 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
47.9%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.5%
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
98.8%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.1%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
91.7%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
78.5%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
93.5%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 39/1024 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 23/384 binary32) (pow.f32 u1 #s(literal 1/4 binary32))))) u1 (*.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) u1 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))))
93.2%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
78.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
96.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
47.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32))) #s(literal 1 binary32))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.2%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
93.6%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
93.2%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (exp.f32 u2)))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
82.7%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
74.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
88.3%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
54.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.9%
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
76.9%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
76.8%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.7%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
4.7%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
90.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1))))
80.8%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
84.0%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) #s(approx (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2) (sqrt.f32 u1)))))
87.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
90.5%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 2 binary32)) u1))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))))))
91.0%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
80.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) #s(approx (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))))
Compiler

Compiled 3 215 to 2 423 computations (24.6% saved)

simplify135.0ms (1.3%)

Memory
1.1MiB live, 144.8MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff1
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
cost-diff3
(sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff0
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
cost-diff0
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
cost-diff0
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
cost-diff0
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff0
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff0
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32))
cost-diff0
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff3
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff8
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
080545
0135510
1248502
2580502
31975497
44832494
08426494
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 2 binary32)
#s(literal 1/8 binary32)
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) (PI.f32))
#s(literal -2 binary32)
(PI.f32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
#s(literal 2 binary32)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
#s(literal 1/6 binary32)
(sqrt.f32 u1)
(*.f32 u1 u1)
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))
#s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 u2 u2))
#s(literal -2 binary32)
(*.f32 u2 u2)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
(sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u2 (PI.f32))
u2
(PI.f32)
#s(literal -2 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 4 binary32)) #s(literal 1/8 binary32)))
(pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 4 binary32))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 4 binary32)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 2 binary32)
#s(literal 1/8 binary32)
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (*.f32 u1 u1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(PI.f32)
u2
#s(literal 2 binary32)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal 1/4 binary32)
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
#s(literal 1/6 binary32)
(sqrt.f32 u1)
(*.f32 u1 u1)
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
#s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 u2 u2)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
(sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u2 (PI.f32))
u2
(PI.f32)
#s(literal -2 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)

localize251.0ms (2.5%)

Memory
0.4MiB live, 276.4MiB allocated; 29ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
accuracy0.203125
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.28515625
(*.f32 u2 (PI.f32))
accuracy0.39447594506641925
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy0.37890625
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy2.6504698518127237
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
accuracy3.934880798125613
#s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy0.2265625
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
accuracy0.28515625
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
accuracy0.28515625
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy1.9359000049028583
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy0.0
(neg.f32 (sqrt.f32 u1))
accuracy0.203125
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy7.148745511532133
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy30.892601004021696
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy0.203125
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.3203125
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy0.4404487793053261
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))
accuracy0.45998002930532605
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
Samples
195.0ms256×0valid
Compiler

Compiled 471 to 72 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-mult: 84.0ms (52.7% of total)
ival-sin: 16.0ms (10% of total)
ival-pow: 9.0ms (5.7% of total)
ival-add: 9.0ms (5.7% of total)
const: 7.0ms (4.4% of total)
ival-sqrt: 7.0ms (4.4% of total)
ival-cos: 5.0ms (3.1% of total)
ival-cosu: 4.0ms (2.5% of total)
ival-log: 4.0ms (2.5% of total)
ival-neg: 4.0ms (2.5% of total)
ival-div: 3.0ms (1.9% of total)
ival-pow2: 3.0ms (1.9% of total)
ival-log1p: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.6% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series223.0ms (2.2%)

Memory
-17.3MiB live, 385.4MiB allocated; 110ms collecting garbage
Counts
30 → 189
Calls
Call 1
Inputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
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(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
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(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(pow (log (/ -1 u1)) 4)
(+ (* 4 (/ (pow (log (/ -1 u1)) 3) u1)) (pow (log (/ -1 u1)) 4))
(+ (* -1 (/ (+ (* -4 (pow (log (/ -1 u1)) 3)) (* -1 (/ (+ (* 2 (* (pow (log (/ -1 u1)) 2) (+ 1 (log (/ -1 u1))))) (* 4 (pow (log (/ -1 u1)) 2))) u1))) u1)) (pow (log (/ -1 u1)) 4))
(+ (* -1 (/ (+ (* -4 (pow (log (/ -1 u1)) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (log (/ -1 u1)) (+ 1 (log (/ -1 u1))))) (* 2 (* (pow (log (/ -1 u1)) 2) (- (* -2/3 (log (/ -1 u1))) 1)))) u1)) (+ (* 2 (* (pow (log (/ -1 u1)) 2) (+ 1 (log (/ -1 u1))))) (* 4 (pow (log (/ -1 u1)) 2)))) u1))) u1)) (pow (log (/ -1 u1)) 4))
(* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))) (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* (sqrt (log (/ -1 u1))) (sqrt -1))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1)))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (cos (* -2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* -2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* -2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* -2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))
(* -1/6 (* (sqrt (pow u1 5)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) u1)) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(* -1/6 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
(* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))) (* 1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
(pow (log (/ -1 u1)) 2)
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* u2 (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* u2 (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sqrt (log (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -2 (* (* u2 (* (PI) (cos (* 1/2 (PI))))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (log (- 1 u1))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (log (- 1 u1))))))) (* (sqrt (log (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (log (- 1 u1))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (log (- 1 u1))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (log (- 1 u1))))))))) (* (sqrt (log (- 1 u1))) (sin (* 1/2 (PI)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))))
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (+ (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (pow (PI) 6))) (* -4/45 (* (pow u1 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))))))))
(+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))
(+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2/3 (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1)))
(+ (* -2 (* (* u2 (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(* 1/2 (PI))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(* (sqrt (log (- 1 u1))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(cos (* 2 (* u2 (PI))))
(* (sqrt (log (- 1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))
(* -2 (* u2 (PI)))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
Calls

9 calls:

TimeVariablePointExpression
56.0ms
u1
@-inf
((* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (* (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (pow (neg (log (+ 1 (neg u1)))) 2) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (cos (* (* (PI) u2) 2)) (* (PI) (PI)) (* 1/6 (sqrt u1)) (+ (* (* u2 (PI)) -2) (/ (PI) 2)) (* u2 (PI)))
32.0ms
cosTheta_i
@0
((* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (* (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (pow (neg (log (+ 1 (neg u1)))) 2) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (cos (* (* (PI) u2) 2)) (* (PI) (PI)) (* 1/6 (sqrt u1)) (+ (* (* u2 (PI)) -2) (/ (PI) 2)) (* u2 (PI)))
23.0ms
u2
@-inf
((* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (* (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (pow (neg (log (+ 1 (neg u1)))) 2) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (cos (* (* (PI) u2) 2)) (* (PI) (PI)) (* 1/6 (sqrt u1)) (+ (* (* u2 (PI)) -2) (/ (PI) 2)) (* u2 (PI)))
23.0ms
u2
@inf
((* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (* (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (pow (neg (log (+ 1 (neg u1)))) 2) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (cos (* (* (PI) u2) 2)) (* (PI) (PI)) (* 1/6 (sqrt u1)) (+ (* (* u2 (PI)) -2) (/ (PI) 2)) (* u2 (PI)))
20.0ms
u1
@inf
((* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2))) (* (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (sin (+ (* (* -2 (PI)) u2) (/ (PI) 2)))) (pow (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) 1/8) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (cos (* (* (PI) u2) 2)) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2))) (pow (neg (log (+ 1 (neg u1)))) 1/2) (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (sin (+ (* (* u2 (PI)) -2) (/ (PI) 2)))) (neg (log (+ 1 (neg u1)))) (pow (neg (log (+ 1 (neg u1)))) 2) (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (+ (* 1/4 u1) 1/3) (cos (* (* (PI) u2) 2)) (* (PI) (PI)) (* 1/6 (sqrt u1)) (+ (* (* u2 (PI)) -2) (/ (PI) 2)) (* u2 (PI)))

simplify207.0ms (2.1%)

Memory
-14.5MiB live, 272.9MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09466779
135495680
086585374
Stop Event
iter limit
node limit
Counts
189 → 188
Calls
Call 1
Inputs
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 u1)))
(* (pow u1 4) (+ 1 (* u1 (+ 2 (* 17/6 u1)))))
(* (pow u1 4) (+ 1 (* u1 (+ 2 (* u1 (+ 17/6 (* 7/2 u1)))))))
(* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(* -1 (sqrt u1))
(sqrt u1)
u1
(* u1 (+ 1 (* 1/2 u1)))
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(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))))))
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(* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))
(/ (+ (* 1/6 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))) u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
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(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
1/3
(+ 1/3 (* 1/4 u1))
(* 1/6 (sqrt u1))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 4)
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (pow (sqrt -1) 2))))
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(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
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1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
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(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(* 1/2 (PI))
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(* u2 (PI))
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Outputs
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 u1)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1 (* u1 (+ 2 (* 17/6 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 17/6 binary32) u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1 (* u1 (+ 2 (* u1 (+ 17/6 (* 7/2 u1)))))))
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(+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))) (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(+ (* 1/6 (sqrt u1)) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2/3 (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))) (*.f32 u2 u2))) (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(+ (* -2 (* (* u2 (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* u2 (+ (* -2 (* (* u2 (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (PI.f32))))) u2 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -2 (* (* (PI) (* (cos (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* u2 (+ (* -2 (* (* (pow (PI) 2) (* (sin (* 1/2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/3 (* (* u2 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1))))))))) (* (sqrt (log (- 1 u1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (PI.f32))) (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32)))))) u2)) u2 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -2 (* u2 (PI))) (* 1/2 (PI)))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* u2 (PI))
(*.f32 (PI.f32) u2)
(sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI))))
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))
(* (sqrt (log (- 1 u1))) (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(* (* (cos (* -2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (sqrt (log (- 1 u1))) (* (sin (+ (* -2 (* u2 (PI))) (* 1/2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(* -2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))
(* u2 (+ (* -2 (PI)) (* 1/2 (/ (PI) u2))))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2)
(* -1 (* u2 (+ (* -1/2 (/ (PI) u2)) (* 2 (PI)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))))

rewrite170.0ms (1.7%)

Memory
28.8MiB live, 262.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080398
0135361
1431343
22361342
08437336
Stop Event
iter limit
node limit
iter limit
Counts
30 → 624
Calls
Call 1
Inputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))
(fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32))
#s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u2 (PI.f32))
Outputs
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(*.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))))
(*.f32 (fabs.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (fabs.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))) (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (sqrt.f32 (fabs.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 4 binary32)) (pow.f32 (sqrt.f32 (fabs.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 4 binary32)))
(*.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)) (fabs.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) (log1p.f32 (neg.f32 u1))) (*.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (fabs.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (log1p.f32 (neg.f32 u1)) (fabs.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))
(*.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) (fabs.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))))
(*.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))
(sqrt.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 8 binary32)))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (fabs.f32 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(pow.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32))
(fabs.f32 (neg.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32))))
(fabs.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(fabs.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))
(fabs.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fabs.f32 (log1p.f32 (neg.f32 u1))) #s(literal 4 binary32))))
(neg.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(neg.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))
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(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)))) (*.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) (*.f32 (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)))) (*.f32 (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))))
(/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32))) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)))) (neg.f32 (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 u2 #s(literal -2 binary32)) (*.f32 (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 3 binary32)) #s(literal -8 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(fma.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 2 binary32))) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 u2) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (fabs.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (neg.f32 u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 (neg.f32 (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) (neg.f32 (*.f32 u2 #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) (*.f32 u2 #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) (neg.f32 (*.f32 u2 (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))))))
(+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (neg.f32 u2) (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 (neg.f32 u2) (PI.f32)))
(fabs.f32 (*.f32 u2 (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 u2 (PI.f32)))

eval141.0ms (1.4%)

Memory
-30.5MiB live, 210.3MiB allocated; 31ms collecting garbage
Compiler

Compiled 39 606 to 3 729 computations (90.6% saved)

prune97.0ms (1%)

Memory
12.2MiB live, 160.1MiB allocated; 10ms collecting garbage
Pruning

49 alts after pruning (45 fresh and 4 done)

PrunedKeptTotal
New80413817
Fresh73239
Picked325
Done123
Total81549864
Accuracy
100.0%
Counts
864 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
47.9%
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.5%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.2%
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(approx (pow (neg (log (+ 1 (neg u1)))) 2) (*.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (*.f32 u1 u1)))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
78.1%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
78.5%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
93.2%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
87.3%
(*.f32 (pow.f32 #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
78.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
96.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
47.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32))) #s(literal 1 binary32))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.2%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
93.6%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
93.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
82.7%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
74.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
88.3%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
54.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1) #s(literal 1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (*.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.9%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
76.9%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
76.8%
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.7%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
4.7%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
90.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1))))
80.8%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
84.0%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) #s(approx (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2) (sqrt.f32 u1)))))
80.8%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
87.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
80.6%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
90.5%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 2 binary32)) u1))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))))))
91.0%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
80.9%
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) #s(approx (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))))
Compiler

Compiled 4 864 to 1 889 computations (61.2% saved)

regimes272.0ms (2.7%)

Memory
22.2MiB live, 357.8MiB allocated; 24ms collecting garbage
Counts
92 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
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(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/4) (fma.f32 (fma.f32 #s(literal 23/384 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32)))) u1 (pow.f32 u1 #s(literal 1/4 binary32)))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 39/1024 binary32) (pow.f32 (pow.f32 u1 #s(literal 5 binary32)) #s(literal 1/4 binary32)) (*.f32 #s(literal 23/384 binary32) (pow.f32 u1 #s(literal 1/4 binary32))))) u1 (*.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) u1 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) #s(literal 2 binary32)) u1))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI))))) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2)))) (*.f32 u2 u2))) (*.f32 u2 u2) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))))
Outputs
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

10 calls:

48.0ms
u1
41.0ms
(-.f32 #s(literal 1 binary32) u1)
28.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
25.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
24.0ms
u2
Results
AccuracySegmentsBranch
99.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
99.0%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.0%1(-.f32 #s(literal 1 binary32) u1)
99.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.0%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes499.0ms (4.9%)

Memory
-4.7MiB live, 280.2MiB allocated; 22ms collecting garbage
Counts
84 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) #s(approx (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1) #s(literal 1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 #s(approx (* (pow (neg (log (+ 1 (neg u1)))) 2) (pow (neg (log (+ 1 (neg u1)))) 2)) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) #s(approx (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (exp.f32 u2)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (*.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(*.f32 (pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) u2) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)))))
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(approx (pow (neg (log (+ 1 (neg u1)))) 2) (*.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (*.f32 u1 u1)))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32))))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

10 calls:

225.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
56.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
44.0ms
cosTheta_i
40.0ms
u1
32.0ms
u2
Results
AccuracySegmentsBranch
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes188.0ms (1.9%)

Memory
-20.9MiB live, 170.1MiB allocated; 11ms collecting garbage
Counts
52 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) #s(approx (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) u2) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* (+ (* 1/4 u1) 1/3) u1) 1/2) u1) 1) u1) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1) #s(literal 1/3 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32) (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

10 calls:

49.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
28.0ms
(-.f32 #s(literal 1 binary32) u1)
19.0ms
u2
17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes153.0ms (1.5%)

Memory
4.9MiB live, 150.5MiB allocated; 6ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) #s(approx (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

29.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
25.0ms
cosTheta_i
25.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
u2
11.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.7%1(-.f32 #s(literal 1 binary32) u1)
98.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.7%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%1cosTheta_i
98.7%1u1
98.7%1u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes346.0ms (3.4%)

Memory
28.4MiB live, 122.0MiB allocated; 8ms collecting garbage
Counts
38 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) #s(approx (+ (* (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (* u1 u1)) (* (cos (* (* (PI) u2) 2)) (sqrt u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) u2))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 u2) (*.f32 #s(literal -2 binary32) (PI.f32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal -2 binary32)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

247.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
23.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms
cosTheta_i
9.0ms
u1
9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
96.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
96.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.6%2(-.f32 #s(literal 1 binary32) u1)
97.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%1cosTheta_i
97.6%2u1
96.9%2u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes25.0ms (0.3%)

Memory
-32.1MiB live, 11.9MiB allocated; 4ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

1 calls:

24.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
97.8%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes43.0ms (0.4%)

Memory
6.1MiB live, 52.3MiB allocated; 2ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* 1/4 u1) 1/3) #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

6 calls:

19.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms
u1
5.0ms
(-.f32 #s(literal 1 binary32) u1)
4.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
97.0%2(-.f32 #s(literal 1 binary32) u1)
97.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.0%2u1
97.4%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes74.0ms (0.7%)

Memory
6.3MiB live, 53.7MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u1
4.0ms
cosTheta_i
4.0ms
(-.f32 #s(literal 1 binary32) u1)
4.0ms
u2
Results
AccuracySegmentsBranch
88.1%1cosTheta_i
92.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
92.2%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
92.2%2u2
94.8%2(-.f32 #s(literal 1 binary32) u1)
94.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.8%2u1
95.5%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes49.0ms (0.5%)

Memory
-14.5MiB live, 40.2MiB allocated; 9ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

6 calls:

29.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms
u1
4.0ms
(-.f32 #s(literal 1 binary32) u1)
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
93.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.3%2u1
93.3%2(-.f32 #s(literal 1 binary32) u1)
93.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.9%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes42.0ms (0.4%)

Memory
8.6MiB live, 53.2MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
cosTheta_i
4.0ms
u2
4.0ms
(-.f32 #s(literal 1 binary32) u1)
4.0ms
u1
Results
AccuracySegmentsBranch
82.7%1cosTheta_i
89.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
89.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
89.1%2u2
89.9%3(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.9%3(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
89.9%3u1
89.9%3(-.f32 #s(literal 1 binary32) u1)
89.9%3(log.f32 (-.f32 #s(literal 1 binary32) u1))
91.3%3(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes29.0ms (0.3%)

Memory
8.0MiB live, 54.0MiB allocated; 3ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

9 calls:

5.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
3.0ms
u1
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms
u2
Results
AccuracySegmentsBranch
86.0%2(-.f32 #s(literal 1 binary32) u1)
86.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
86.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.0%2u1
86.1%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
82.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
82.7%1u2
Compiler

Compiled 44 to 61 computations (-38.6% saved)

regimes18.0ms (0.2%)

Memory
-5.2MiB live, 40.8MiB allocated; 2ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 #s(approx (* (cos (* (* (PI) u2) 2)) (+ (* (sqrt (/ 1 u1)) 1/4) (* 1/6 (sqrt u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (* (pow (neg (log (+ 1 (neg u1)))) 1/4) (cos (* u2 (* -2 (PI)))))) (fma.f32 (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

6 calls:

5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms
u1
3.0ms
(-.f32 #s(literal 1 binary32) u1)
3.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
82.7%1(-.f32 #s(literal 1 binary32) u1)
82.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
82.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
82.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
82.7%1u1
82.7%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes19.0ms (0.2%)

Memory
-4.8MiB live, 48.1MiB allocated; 6ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

5.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
u2
1.0ms
u1
Results
AccuracySegmentsBranch
74.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
74.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
74.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
74.5%1cosTheta_i
74.5%1u1
74.5%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
74.5%1u2
74.5%1(-.f32 #s(literal 1 binary32) u1)
74.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes14.0ms (0.1%)

Memory
-4.7MiB live, 41.0MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

3.0ms
u2
1.0ms
cosTheta_i
1.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
4.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.7%1u2
4.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
4.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.7%1u1
4.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.7%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.7%1cosTheta_i
4.7%1(-.f32 #s(literal 1 binary32) u1)
4.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.1448497325181961
0.2103639543056488
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.1448497325181961
0.2103639543056488
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.10999640822410583
0.11841358244419098
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.061459511518478394
0.06518244743347168
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11841358244419098
0.12328990548849106
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.008714845404028893
0.009980437345802784
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.24877624213695526
0.2678524851799011
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify79.0ms (0.8%)

Memory
-8.8MiB live, 81.5MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122610
1163610
2215610
3310610
4472610
5640610
6670610
7732610
8796610
9805610
10899610
111384610
122994610
135995610
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 13421773/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 13421773/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 u2 #s(literal 2415919/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (pow.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32))) #s(literal 1/8 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 13421773/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) (sin.f32 #s(approx (+ (* (* -2 (PI)) u2) (/ (PI) 2)) (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) u2 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 13421773/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1090519/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 u2 #s(literal 2415919/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 #s(approx (pow (neg (log (+ 1 (neg u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) u1) #s(literal 1/3 binary32)) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

derivations999.0ms (9.9%)

Memory
36.8MiB live, 974.5MiB allocated; 135ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06494264
122943673
093133516
073359
0118333
1350318
21984318
08178313
03061647
110511359
243601355
081271293
056272
095259
1259259
21489255
08373248
01339
02239
16739
235639
0317735
07875179
129434320
084934087
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 611 to 127 computations (79.2% saved)

preprocess79.0ms (0.8%)

Memory
-9.0MiB live, 131.0MiB allocated; 10ms collecting garbage
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 348 to 354 computations (73.7% saved)

end0.0ms (0%)

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

Profiling

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