Beckmann Sample, near normal, slope_x

Time bar (total: 14.9s)

analyze377.0ms (2.5%)

Memory
2.9MiB live, 473.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.8s (12.3%)

Memory
73.4MiB live, 2 989.6MiB allocated
Samples
1.4s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 292.0ms (26.9% of total)
ival-log: 159.0ms (14.7% of total)
ival-mult: 157.0ms (14.5% of total)
ival-cos: 120.0ms (11.1% of total)
ival-<=: 97.0ms (8.9% of total)
ival-sub: 58.0ms (5.3% of total)
ival-sqrt: 53.0ms (4.9% of total)
ival-pi: 40.0ms (3.7% of total)
ival-neg: 39.0ms (3.6% of total)
ival-and: 32.0ms (2.9% of total)
ival->: 26.0ms (2.4% of total)
exact: 9.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess49.0ms (0.3%)

Memory
-9.0MiB live, 68.5MiB allocated
Algorithm
egg-herbie
Rules
340×associate-*r*
254×distribute-lft-in
228×associate-*l*
184×distribute-rgt-in
158×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042122
199120
2186120
3324120
4515120
5747120
6912120
71252120
81367120
91553120
101562120
111566120
121566120
01313
02213
13413
24613
35513
46313
57513
68913
79713
810013
010012
Stop Event
iter limit
saturated
iter limit
saturated
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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Symmetry

(abs u2)

(abs cosTheta_i)

explain216.0ms (1.5%)

Memory
-69.0MiB live, 219.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2094(0.999984622001648 0.0009952192194759846 0.2180911749601364)6(0.9999799132347107 0.01132240705192089 8.360495629133879e-10)(log.f32 (-.f32 #s(literal 1 binary32) u1))
10-0-(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))sensitivity20714
cos.f32(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))sensitivity11
Confusion
Predicted +Predicted -
+2001
-748
Precision
0.966183574879227
Recall
0.9950248756218906
Confusion?
Predicted +Predicted MaybePredicted -
+20010
-71335
Precision?
0.9095022624434389
Recall?
1.0
Freqs
test
numberfreq
049
1206
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 11.0ms (30.3% of total)
ival-log: 8.0ms (22% of total)
ival-cos: 6.0ms (16.5% of total)
ival-sub: 3.0ms (8.3% of total)
ival-sqrt: 3.0ms (8.3% of total)
ival-pi: 2.0ms (5.5% of total)
ival-neg: 2.0ms (5.5% of total)
exact: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.4%
(*.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 16 to 14 computations (12.5% saved)

simplify7.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Rules
40×lower-*.f64
34×lower-*.f32
32×lower-+.f64
32×lower-+.f32
24×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
02250
13450
24650
35550
46350
57550
68950
79750
810050
010046
Stop Event
iter limit
saturated
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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize59.0ms (0.4%)

Memory
11.2MiB live, 81.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy56.4%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
48.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 14.0ms (51.6% of total)
ival-log: 4.0ms (14.7% of total)
ival-cos: 3.0ms (11.1% of total)
ival-sqrt: 2.0ms (7.4% of total)
ival-pi: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series107.0ms (0.7%)

Memory
-12.7MiB live, 111.1MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))>
#<alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))>
Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (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))))))))>
#<alt (+ (* (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))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
Calls

21 calls:

TimeVariablePointExpression
69.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
19.0ms
u1
@inf
(sqrt (neg (log (- 1 u1))))
7.0ms
u2
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite414.0ms (2.8%)

Memory
-6.2MiB live, 402.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 444×lower-*.f64
3 438×lower-*.f32
2 098×lower-fma.f64
2 098×lower-fma.f32
2 048×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02239
16539
232039
3235537
0864929
Stop Event
iter limit
node limit
iter limit
Counts
6 → 242
Calls
Call 1
Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.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)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Outputs
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.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 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
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(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify450.0ms (3%)

Memory
11.4MiB live, 437.9MiB allocated
Algorithm
egg-herbie
Rules
9 722×lower-fma.f64
9 722×lower-fma.f32
5 844×lower-*.f64
5 844×lower-*.f32
3 726×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061849
19111570
229181447
371351410
083881352
Stop Event
iter limit
node limit
Counts
84 → 83
Calls
Call 1
Inputs
(* -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))
(+ (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 (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 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)))))))))))
(* (* (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)))))))))
(* (* (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))) (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))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (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 -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)))))))))
(* (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)))
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 (+ (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 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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1)))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
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(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1)) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -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)))
(-.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))))) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))))) u1) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -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 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (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 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (neg.f32 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1) (log.f32 (neg.f32 u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 u2 (*.f32 u2 (*.f32 #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 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #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 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))

eval33.0ms (0.2%)

Memory
15.3MiB live, 60.2MiB allocated
Compiler

Compiled 7 576 to 1 418 computations (81.3% saved)

prune70.0ms (0.5%)

Memory
-13.0MiB live, 150.0MiB allocated
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New29827325
Fresh000
Picked011
Done000
Total29828326
Accuracy
99.6%
Counts
326 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.3%
(*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.3%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
47.8%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.5%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.3%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #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)))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 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)))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
74.4%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.5%
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 458 to 916 computations (37.2% saved)

simplify321.0ms (2.2%)

Memory
-3.3MiB live, 506.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
cost-diff160
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff64
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
cost-diff0
(*.f32 u1 u1)
cost-diff0
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
cost-diff0
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff160
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
13 190×lower-fma.f64
13 182×lower-fma.f32
2 852×lower-*.f64
2 830×lower-*.f32
2 398×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046437
090415
1161409
2332406
3753406
42016406
54426406
66880406
08203396
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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
(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(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
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#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 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))))
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
u1
(log1p.f32 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
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(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
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (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(literal 1 binary32))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
u1
(log1p.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))))))
(sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))))
(log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
(log1p.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))
(neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))
(fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize236.0ms (1.6%)

Memory
0.1MiB live, 398.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.6%
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy96.3%
(PI.f32)
accuracy56.6%
(log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
accuracy31.9%
(log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
accuracy99.1%
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy96.3%
(PI.f32)
accuracy31.7%
(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
accuracy99.6%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy96.3%
(PI.f32)
accuracy100.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
accuracy100.0%
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.6%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy56.4%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy99.6%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy96.3%
(PI.f32)
Samples
72.0ms185×0valid
66.0ms61×1valid
4.0ms5exit
2.0ms0invalid
Compiler

Compiled 491 to 52 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
adjust: 32.0ms (27% of total)
ival-mult: 22.0ms (18.5% of total)
ival-log: 20.0ms (16.8% of total)
ival-sqrt: 9.0ms (7.6% of total)
ival-add: 9.0ms (7.6% of total)
ival-sub: 7.0ms (5.9% of total)
ival-neg: 6.0ms (5.1% of total)
ival-log1p: 6.0ms (5.1% of total)
const: 4.0ms (3.4% of total)
ival-cos: 3.0ms (2.5% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series189.0ms (1.3%)

Memory
12.7MiB live, 455.7MiB allocated
Counts
26 → 348
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))>
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))>
#<alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))>
#<alt (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)>
#<alt (*.f32 u1 u1)>
#<alt (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))>
#<alt (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))>
#<alt (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))>
#<alt (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))>
#<alt (*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))>
#<alt (PI.f32)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))>
#<alt (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))>
#<alt (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))>
Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (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)))))))))>
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#<alt (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))>
#<alt (+ (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))))))>
#<alt (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))>
#<alt (- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -3/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 3/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -7/4 u1) 1/3)) 3/2)) 1))>
#<alt (+ (log -1) (* -5 (log (/ 1 u1))))>
#<alt (+ (log -1) (+ (* -5 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -5 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))>
#<alt (- (+ (log -1) (+ (* -5 (log (/ 1 u1))) (+ (/ 1 u1) (* 7/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))>
#<alt (* -5 (log (/ -1 u1)))>
#<alt (+ (* -5 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -5 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))>
#<alt (+ (* -5 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 7/3 (/ 1 u1)) 3/2) u1)) 1) u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
Calls

87 calls:

TimeVariablePointExpression
64.0ms
u2
@inf
(* (sqrt (- (log (* 1 (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (* (+ (* u1 (* u1 u1)) 1) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2)))
28.0ms
u2
@inf
(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
17.0ms
u2
@-inf
(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
15.0ms
u2
@-inf
(* (sqrt (- (log (* 1 (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (* (+ (* u1 (* u1 u1)) 1) (- 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2)))
9.0ms
u2
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))

rewrite324.0ms (2.2%)

Memory
-5.4MiB live, 747.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 714×lower-*.f64
3 696×lower-*.f32
3 482×lower-/.f64
3 482×lower-/.f32
2 956×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046267
090176
1316175
22272162
09428155
Stop Event
iter limit
node limit
iter limit
Counts
26 → 930
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(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(literal 1 binary32))
(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)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (pow.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (*.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (pow.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (neg.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log1p.f32 u1)))) (sqrt.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log1p.f32 u1)))) (sqrt.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 u1) (log.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 u1))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (log1p.f32 u1) (log.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 u1)))) (sqrt.f32 (log.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
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(*.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) u1) (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))

simplify447.0ms (3%)

Memory
5.3MiB live, 714.3MiB allocated
Algorithm
egg-herbie
Rules
10 928×lower-fma.f64
10 928×lower-fma.f32
8 056×lower-*.f64
8 056×lower-*.f32
4 364×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09058362
127536998
084006602
Stop Event
iter limit
node limit
Counts
348 → 344
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))))
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(+ (* (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)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (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)))
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u1
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(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))
(sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2)))))))
(+ (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))))
(+ (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))))))
(+ (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (- 1 (pow (+ u1 (pow u1 2)) 2))) (log (* (+ 1 (pow u1 3)) (- 1 (+ u1 (pow u1 2))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -5/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -5/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))
(+ (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))))
(+ (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -4 (log (/ 1 u1))) (* -5 (log (/ 1 u1)))))))))))
(sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))
(+ (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))))
(+ (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))) (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -4 (log (/ -1 u1)))) (* -5 (log (/ -1 u1)))))))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -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))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -3/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 3/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -7/4 u1) 1/3)) 3/2)) 1))
(+ (log -1) (* -5 (log (/ 1 u1))))
(+ (log -1) (+ (* -5 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -5 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))
(- (+ (log -1) (+ (* -5 (log (/ 1 u1))) (+ (/ 1 u1) (* 7/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))
(* -5 (log (/ -1 u1)))
(+ (* -5 (log (/ -1 u1))) (/ 1 u1))
(+ (* -5 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))
(+ (* -5 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 7/3 (/ 1 u1)) 3/2) u1)) 1) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (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 #s(literal -1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (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 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (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)))))) (* 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 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
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(+ (* -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 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))) (*.f32 u1 u1))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #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 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) 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))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #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)))))
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(* u1 (- (* u1 (- (* -1/3 u1) 3/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -7/4 u1) 1/3)) 3/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -7/4 binary32) #s(literal -1/3 binary32)) #s(literal -3/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -5 (log (/ 1 u1))))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -5 binary32) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (* -5 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -5 binary32) (log.f32 #s(literal -1 binary32))))
(- (+ (log -1) (+ (* -5 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -5 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -3/2 binary32) (*.f32 u1 u1)))
(- (+ (log -1) (+ (* -5 (log (/ 1 u1))) (+ (/ 1 u1) (* 7/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -5 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 7/3 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal -3/2 binary32) (*.f32 u1 u1)))
(* -5 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -5 binary32))
(+ (* -5 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -5 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -5 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -5 binary32) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) u1) #s(literal -1 binary32)) (neg.f32 u1)))
(+ (* -5 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 7/3 (/ 1 u1)) 3/2) u1)) 1) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -5 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 7/3 binary32) u1) #s(literal -3/2 binary32)) (neg.f32 u1)) #s(literal -1 binary32)) (neg.f32 u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 2 binary32) u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 2 binary32) u1))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 2 binary32) u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 2 binary32) u1))))

eval218.0ms (1.5%)

Memory
13.2MiB live, 280.6MiB allocated
Compiler

Compiled 58 690 to 4 674 computations (92% saved)

prune343.0ms (2.3%)

Memory
25.9MiB live, 356.3MiB allocated
Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New1 502371 539
Fresh91322
Picked235
Done011
Total1 513541 567
Accuracy
99.8%
Counts
1 567 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
91.5%
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
80.2%
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
85.0%
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
91.5%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.3%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal -5/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.2%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.4%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
92.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
89.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.5%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
92.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.5%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.4%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -3/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.5%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.3%
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.4%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
57.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 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)))
72.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
61.9%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
85.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
52.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
74.4%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.6%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
90.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
Compiler

Compiled 2 906 to 1 729 computations (40.5% saved)

simplify508.0ms (3.4%)

Memory
-37.4MiB live, 487.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
cost-diff64
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff64
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff4000
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
cost-diff0
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))
cost-diff0
(*.f32 u2 u2)
cost-diff864
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
cost-diff0
(*.f32 u1 #s(literal 1/2 binary32))
cost-diff0
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(sqrt.f32 u1)
cost-diff96
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
cost-diff0
(log1p.f32 u1)
cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
15 896×lower-fma.f64
15 884×lower-fma.f32
4 092×lower-*.f64
4 056×lower-*.f32
2 014×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049386
098371
1182368
2373358
3914349
41997347
53500347
65294347
76667347
87751347
08054344
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
(neg.f32 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
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(sqrt.f32 u1)
u1
#s(literal -1 binary32)
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
u1
(*.f32 u1 #s(literal 1/2 binary32))
#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
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 u2 u2)
u2
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)
u1
(*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))
(PI.f32)
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))
#s(literal 2/3 binary32)
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
Outputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(literal -1 binary32)
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
u1
(*.f32 u1 #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))) #s(literal 1 binary32)))
(*.f32 u2 u2)
u2
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)
(fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
u1
(*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))
(PI.f32)
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))

localize218.0ms (1.5%)

Memory
20.9MiB live, 451.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
accuracy99.0%
(*.f32 (PI.f32) u2)
accuracy98.9%
(PI.f32)
accuracy43.2%
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
accuracy98.8%
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
accuracy98.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))
accuracy97.3%
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))
accuracy95.1%
(pow.f32 (PI.f32) #s(literal 4 binary32))
accuracy99.5%
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
accuracy99.5%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(PI.f32)
accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.1%
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(PI.f32)
Samples
77.0ms194×0valid
66.0ms59×1valid
6.0ms5exit
Compiler

Compiled 430 to 58 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-mult: 42.0ms (34.2% of total)
ival-log1p: 28.0ms (22.8% of total)
ival-sqrt: 9.0ms (7.3% of total)
ival-add: 9.0ms (7.3% of total)
adjust: 8.0ms (6.5% of total)
const: 7.0ms (5.7% of total)
ival-cos: 7.0ms (5.7% of total)
ival-sub: 5.0ms (4.1% of total)
ival-pow: 4.0ms (3.3% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series128.0ms (0.9%)

Memory
-18.7MiB live, 148.7MiB allocated
Counts
24 → 324
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))>
#<alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))>
#<alt (log1p.f32 u1)>
#<alt (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))>
#<alt (sqrt.f32 u1)>
#<alt (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))>
#<alt (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)>
#<alt (*.f32 u1 #s(literal 1/2 binary32))>
#<alt (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))>
#<alt (*.f32 u2 u2)>
#<alt (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))>
#<alt (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))>
#<alt (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))>
#<alt (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))>
#<alt (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))>
#<alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))>
#<alt (PI.f32)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (pow.f32 (PI.f32) #s(literal 4 binary32))>
#<alt (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))>
#<alt (*.f32 (PI.f32) u2)>
Outputs
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (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))))))))))>
#<alt (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* -1 (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* -1 (* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1/2 (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/2))) (* 1/8 (/ (cos (* 2 (* u2 (PI)))) (* u1 (pow (sqrt 1/2) 3))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/2) 3))) (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* u1 (pow (sqrt 1/2) 5))))) u1)) (* -1/2 (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (sqrt (+ u1 (* 1/2 (pow u1 2))))>
#<alt (+ (sqrt (+ u1 (* 1/2 (pow u1 2)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* 1/2 (pow u1 2)))))))>
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#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))>
#<alt (* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))>
#<alt (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* -2 (pow (PI) 2))>
#<alt (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))>
#<alt (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))>
#<alt (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))>
#<alt (* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))>
#<alt (* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))>
#<alt (* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))>
#<alt (* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
Calls

81 calls:

TimeVariablePointExpression
30.0ms
u2
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2)))
13.0ms
u2
@-inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2)))
10.0ms
u2
@0
(+ (* (* u2 u2) (* (sqrt (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1)) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1)))
2.0ms
u1
@inf
(* (sqrt u1) -1)
2.0ms
u1
@-inf
(+ (* (* u2 u2) (* (sqrt (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1)) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1)))

rewrite357.0ms (2.4%)

Memory
24.9MiB live, 767.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 030×lower-*.f64
4 994×lower-*.f32
3 728×lower-fma.f64
3 716×lower-fma.f32
2 952×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049256
098256
1345211
22378208
08745205
Stop Event
iter limit
node limit
iter limit
Counts
24 → 697
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(*.f32 u1 #s(literal 1/2 binary32))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 u2 u2)
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(pow.f32 (PI.f32) #s(literal 4 binary32))
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(*.f32 (PI.f32) u2)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 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 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
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(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
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(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
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(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify473.0ms (3.2%)

Memory
29.9MiB live, 934.1MiB allocated
Algorithm
egg-herbie
Rules
13 772×lower-fma.f64
13 772×lower-fma.f32
9 086×lower-*.f64
9 086×lower-*.f32
4 688×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07677901
125186896
082426472
Stop Event
iter limit
node limit
Counts
324 → 321
Calls
Call 1
Inputs
(* (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)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
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(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
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(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))
u1
(* u1 (+ 1 (* -1/2 u1)))
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(* -1 (log (/ 1 u1)))
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u1
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (+ (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (+ (* 1/6 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))))))
(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
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(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* -1/2 (* (sqrt u1) (/ (* (pow u2 2) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (sqrt -1/3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))
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(pow u2 2)
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(pow u2 2)
(* (sqrt u1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))
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(+ (* (sqrt u1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* 1/4 (* (sqrt (/ 1 u1)) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
(+ (* (sqrt u1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* 1/6 (* (sqrt (/ 1 u1)) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))
(* (sqrt (pow u1 3)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
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(* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))
(* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
(+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))
(+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))
(+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))
(* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
(* (pow u2 2) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(* (pow u2 2) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(* (pow u2 2) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
(* (pow u2 2) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(* (pow u2 2) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(* (pow u2 2) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(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 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (pow u1 3)) (sqrt 1/3))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
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))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
1
(+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (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 (+ (* -1/32 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
(sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* -2 (pow (PI) 2))
(+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))
(+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))
(+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (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 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (*.f32 u1 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
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(* 2/3 (* (* (pow u2 4) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* 2/3 (* (* (pow u2 4) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (+ (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/6 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (+ (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (+ (* 1/6 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))))))
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(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))
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(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))))
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(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))))
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(* (sqrt u1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))
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(+ (* 1/4 (* (sqrt (pow u1 3)) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (sqrt u1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
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(* (sqrt (pow u1 3)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
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(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))
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(* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(*.f32 (*.f32 u2 u2) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))))
(* (pow u2 2) (+ (* -2 (/ (pow (PI) 2) (pow u2 2))) (* 2/3 (pow (PI) 4))))
(*.f32 (*.f32 u2 u2) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval175.0ms (1.2%)

Memory
11.8MiB live, 402.5MiB allocated
Compiler

Compiled 66 327 to 4 526 computations (93.2% saved)

prune582.0ms (3.9%)

Memory
-90.7MiB live, 477.9MiB allocated
Pruning

70 alts after pruning (64 fresh and 6 done)

PrunedKeptTotal
New1 312351 347
Fresh162945
Picked325
Done044
Total1 331701 401
Accuracy
99.9%
Counts
1 401 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
80.3%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
83.7%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
83.7%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
83.4%
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
82.9%
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
92.5%
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (fma.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
83.7%
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
80.2%
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
85.0%
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
91.5%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.2%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.2%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
77.4%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
92.4%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.6%
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
92.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal 2 binary32))))
92.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (+.f32 (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
89.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)))) (fma.f32 u1 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
59.2%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.4%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -3/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.5%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.4%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
57.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 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)))
72.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
70.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
61.9%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
85.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
52.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
74.4%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.1%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.6%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
70.5%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
72.8%
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
5.0%
(neg.f32 (sqrt.f32 u1))
Compiler

Compiled 4 128 to 2 419 computations (41.4% saved)

simplify281.0ms (1.9%)

Memory
20.9MiB live, 495.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
cost-diff128
(-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
cost-diff3872
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))
cost-diff224
(fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
cost-diff320
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))
cost-diff0
(*.f32 u2 u2)
cost-diff0
(*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))
cost-diff320
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
cost-diff864
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff160
(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff3200
(log.f32 (E.f32))
Rules
10 394×lower-fma.f64
10 376×lower-fma.f32
4 364×lower-*.f64
4 326×lower-*.f32
1 704×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057475
0116454
1232400
2496386
31390372
42492364
54968364
08241356
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(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
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32))))
#s(literal 2 binary32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(log.f32 (E.f32))
(E.f32)
u2
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))
(*.f32 u2 u2)
u2
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(PI.f32)
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
#s(literal 2/3 binary32)
(sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))
(fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
(neg.f32 (*.f32 u1 u1))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))
(*.f32 u1 #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(neg.f32 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
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
#s(literal -1/2 binary32)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(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
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32))))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(PI.f32)
(log.f32 (E.f32))
#s(literal 1 binary32)
(E.f32)
u2
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) #s(literal -2 binary32)))
(*.f32 u2 u2)
u2
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2/3 binary32)) #s(literal -2 binary32)))
(PI.f32)
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
#s(literal 2/3 binary32)
(sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
u1
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))))
(sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))
(/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 u1 (fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) #s(literal -1 binary32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 u1)
u1
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 (neg.f32 u1))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))
(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)))
(*.f32 u1 #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
#s(literal -1/2 binary32)

localize459.0ms (3.1%)

Memory
-6.6MiB live, 472.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
accuracy99.0%
(*.f32 (PI.f32) u2)
accuracy98.9%
(PI.f32)
accuracy43.2%
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
accuracy99.5%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(PI.f32)
accuracy98.5%
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
accuracy98.8%
(*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))
accuracy97.3%
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy100.0%
(sqrt.f32 u1)
accuracy100.0%
(neg.f32 (sqrt.f32 u1))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy98.9%
(PI.f32)
accuracy98.9%
(E.f32)
accuracy96.9%
(log.f32 (E.f32))
Samples
302.0ms208×0valid
46.0ms45×1valid
5.0ms5exit
Compiler

Compiled 519 to 69 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 57.0ms (48.4% of total)
ival-add: 11.0ms (9.3% of total)
ival-cos: 10.0ms (8.5% of total)
ival-sqrt: 9.0ms (7.6% of total)
const: 7.0ms (5.9% of total)
adjust: 5.0ms (4.2% of total)
ival-log: 4.0ms (3.4% of total)
ival-neg: 4.0ms (3.4% of total)
ival-log1p: 3.0ms (2.5% of total)
ival-div: 2.0ms (1.7% of total)
ival-pi: 2.0ms (1.7% of total)
ival-e: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series195.0ms (1.3%)

Memory
-34.8MiB live, 296.0MiB allocated
Counts
28 → 312
Calls
Call 1
Inputs
#<alt (log.f32 (E.f32))>
#<alt (*.f32 (PI.f32) (log.f32 (E.f32)))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))>
#<alt (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))>
#<alt (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))>
#<alt (*.f32 u2 u2)>
#<alt (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))>
#<alt (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))>
#<alt (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))>
#<alt (*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))>
#<alt (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))>
#<alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))>
#<alt (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))>
#<alt (E.f32)>
#<alt (PI.f32)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))>
#<alt (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))>
#<alt (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))>
#<alt (*.f32 (PI.f32) u2)>
Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
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#<alt (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* u1 (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* -1 (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* -1 (* u1 (+ (* 1/2 (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1/2 (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/2))) (* 1/8 (/ (cos (* 2 (* u2 (PI)))) (* u1 (pow (sqrt 1/2) 3))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/2) 3))) (* 1/16 (/ (cos (* 2 (* u2 (PI)))) (* u1 (pow (sqrt 1/2) 5))))) u1)) (* -1/2 (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1)))>
#<alt (+ (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))))>
#<alt (+ (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))))))>
#<alt (+ (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (* 1/4 (pow u1 4)) (pow u1 2)) (- (* 1/2 (pow u1 2)) u1))))>
#<alt 1>
#<alt (+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1/2 (* (pow u2 2) (- (* 1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2))))>
#<alt (+ 1/2 (* (pow u2 2) (- (* (pow u2 2) (- (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* -1/3 (pow (PI) 4)))) (pow (PI) 2))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))>
#<alt (+ (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/6 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))>
#<alt (* (sqrt (pow u1 3)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (* (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (* (pow u2 2) (+ (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4)))) (* (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (pow u1 3)) (sqrt 1/3))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))>
#<alt (* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (* 2/3 (* (pow u2 2) (pow (PI) 4)))>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
Calls

78 calls:

TimeVariablePointExpression
72.0ms
u2
@0
(* (* 2 (* (PI) (log (E)))) u2)
30.0ms
u2
@-inf
(* (sqrt (/ (+ (* 1/4 (* (* u1 u1) (* u1 u1))) (neg (* u1 u1))) (+ (* u1 (* u1 1/2)) (neg u1)))) (cos (* (* 2 (PI)) u2)))
10.0ms
u2
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
8.0ms
u2
@inf
(* (* 2 (* (PI) (log (E)))) u2)
7.0ms
u2
@inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))

rewrite387.0ms (2.6%)

Memory
-9.9MiB live, 558.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 536×lower-*.f64
4 498×lower-*.f32
4 438×lower-fma.f64
4 420×lower-fma.f32
3 048×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057314
0116278
1413211
22851209
08659205
Stop Event
iter limit
node limit
iter limit
Counts
28 → 835
Calls
Call 1
Inputs
(log.f32 (E.f32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))
(*.f32 u2 u2)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))
(fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(E.f32)
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(*.f32 (PI.f32) u2)
Outputs
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32))))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 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 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 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)))
(neg.f32 (sqrt.f32 u1))
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (/.f32 u1 (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(sqrt.f32 u1)
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(+.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(+.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(pow.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (-.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (fma.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1) (pow.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (neg.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) #s(literal -1 binary32))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
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(pow.f32 (neg.f32 (*.f32 u1 u1)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 (neg.f32 u1) (neg.f32 (*.f32 u1 u1))))
(*.f32 (neg.f32 u1) (*.f32 u1 (neg.f32 (*.f32 u1 u1))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 (neg.f32 (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)
(*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (neg.f32 (*.f32 u1 u1))))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 u1)) u1) (neg.f32 u1))
(*.f32 (*.f32 (neg.f32 (*.f32 u1 u1)) (neg.f32 u1)) u1)
(*.f32 (*.f32 (neg.f32 (*.f32 u1 u1)) #s(literal -1 binary32)) (*.f32 u1 u1))
(*.f32 (pow.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 u1 u1))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) u2))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32))) #s(literal -1 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32)))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))) (*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (pow.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32)))) (neg.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32)))))
(*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/4 binary32))))))
(*.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal -1/2 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify502.0ms (3.4%)

Memory
35.5MiB live, 672.4MiB allocated
Algorithm
egg-herbie
Rules
12 240×lower-fma.f64
12 240×lower-fma.f32
8 554×lower-*.f64
8 554×lower-*.f32
3 688×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06786931
121735907
081505586
Stop Event
iter limit
node limit
Counts
312 → 311
Calls
Call 1
Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 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) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 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) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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1
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(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))
1/2
(+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (- (* 1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (- (* (pow u2 2) (- (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* -1/3 (pow (PI) 4)))) (pow (PI) 2))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(+ (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/6 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(* (sqrt (pow u1 3)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt 1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))))))
(sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (* (* (pow u2 2) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (* (pow u2 2) (+ (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (* (pow u2 2) (+ (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4)))) (* (* (pow u2 2) (- (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))
(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 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (pow u1 3)) (sqrt 1/3))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* 2/3 (* (* (pow u2 4) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(* (pow u2 4) (+ (* -2 (* (/ (pow (PI) 2) (pow u2 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1))))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* 1/3 u1)))))))))
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(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (+ (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/6 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (+ (* 1/4 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (+ (* 1/6 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))) (* u1 (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))))))
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(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))
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(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 u1)) (sqrt 1/3)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt 1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))))))))))))
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(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))
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(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (pow u2 2) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (sqrt -1) (* (sqrt -1/3) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))))))))
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(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* 2/3 (* (pow u2 2) (pow (PI) 4)))
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 (PI.f32) (PI.f32))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval398.0ms (2.7%)

Memory
-18.7MiB live, 327.4MiB allocated
Compiler

Compiled 70 803 to 6 478 computations (90.9% saved)

prune679.0ms (4.6%)

Memory
2.7MiB live, 529.0MiB allocated
Pruning

79 alts after pruning (71 fresh and 8 done)

PrunedKeptTotal
New1 570211 591
Fresh95059
Picked325
Done066
Total1 582791 661
Accuracy
99.9%
Counts
1 661 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
80.3%
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
80.3%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
83.7%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
83.4%
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
82.9%
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
83.7%
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
83.7%
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
92.5%
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (fma.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
5.0%
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
83.7%
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
80.2%
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
85.0%
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
83.6%
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
91.5%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.2%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.2%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
77.4%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
92.4%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.6%
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
92.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
92.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 #s(literal 1/2 binary32) (-.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
92.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
89.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (neg.f32 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
59.2%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.4%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -3/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.5%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)))) (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.4%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
57.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
92.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 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)))
72.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
70.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
61.9%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
85.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
52.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
74.4%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.1%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.6%
(*.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
76.6%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
70.5%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
72.8%
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
70.4%
(sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)))))
5.0%
(neg.f32 (sqrt.f32 u1))
Compiler

Compiled 5 739 to 1 965 computations (65.8% saved)

regimes393.0ms (2.6%)

Memory
14.9MiB live, 565.3MiB allocated
Counts
121 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
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(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #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:

57.0ms
cosTheta_i
57.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
51.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
35.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
34.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
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%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes240.0ms (1.6%)

Memory
-13.2MiB live, 473.2MiB allocated
Counts
75 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 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)))
(sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #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 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (neg.f32 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)))) (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (neg.f32 (*.f32 u1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal -5/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))) (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)) (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)))) (fma.f32 u1 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
Calls

10 calls:

40.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
32.0ms
u2
23.0ms
u1
23.0ms
cosTheta_i
22.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
97.6%2u2
94.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.3%1(-.f32 #s(literal 1 binary32) u1)
97.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
94.3%1cosTheta_i
94.3%1u1
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)))
94.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes59.0ms (0.4%)

Memory
-2.3MiB live, 156.0MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 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)))
(sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
Calls

4 calls:

15.0ms
u2
14.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
13.0ms
(*.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
97.2%2u2
97.2%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
97.6%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 37 to 32 computations (13.5% saved)

regimes139.0ms (0.9%)

Memory
7.1MiB live, 397.7MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
Calls

10 calls:

17.0ms
u2
15.0ms
cosTheta_i
15.0ms
u1
14.0ms
(-.f32 #s(literal 1 binary32) u1)
14.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
96.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.4%2u2
96.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
95.2%2u1
95.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.1%1cosTheta_i
95.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.2%2(-.f32 #s(literal 1 binary32) u1)
96.5%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 75 to 64 computations (14.7% saved)

regimes131.0ms (0.9%)

Memory
34.3MiB live, 300.6MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
Calls

9 calls:

20.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
16.0ms
u1
13.0ms
(-.f32 #s(literal 1 binary32) u1)
13.0ms
u2
Results
AccuracySegmentsBranch
92.7%2u1
92.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
92.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
92.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
92.7%2(-.f32 #s(literal 1 binary32) u1)
94.1%2u2
94.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
94.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
94.2%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 71 to 61 computations (14.1% saved)

regimes56.0ms (0.4%)

Memory
1.0MiB live, 119.9MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
Calls

4 calls:

19.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
12.0ms
u2
Results
AccuracySegmentsBranch
94.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
94.1%2u2
94.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
94.1%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)))
Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes126.0ms (0.8%)

Memory
7.9MiB live, 241.6MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Calls

10 calls:

14.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms
u1
14.0ms
u2
13.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms
(*.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
83.7%1cosTheta_i
87.2%2u1
87.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.2%2(-.f32 #s(literal 1 binary32) u1)
90.2%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
90.2%2u2
90.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
92.6%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 75 to 64 computations (14.7% saved)

regimes107.0ms (0.7%)

Memory
-22.3MiB live, 231.8MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(fma.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) u2 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Outputs
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
Calls

9 calls:

17.0ms
u2
12.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms
u1
11.0ms
(*.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
83.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.7%1(-.f32 #s(literal 1 binary32) u1)
83.7%1u1
83.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.0%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)))
83.7%1u2
83.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
83.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes29.0ms (0.2%)

Memory
21.4MiB live, 60.0MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Outputs
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Calls

3 calls:

10.0ms
(-.f32 #s(literal 1 binary32) u1)
9.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms
(*.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
83.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.7%1(-.f32 #s(literal 1 binary32) u1)
83.7%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 29 to 25 computations (13.8% saved)

regimes92.0ms (0.6%)

Memory
-2.4MiB live, 194.3MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2)) #s(literal 2/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) u2 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) u2) (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))) u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Outputs
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Calls

10 calls:

10.0ms
cosTheta_i
10.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
10.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
83.7%1u2
83.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
83.7%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)))
83.7%1cosTheta_i
83.7%1u1
83.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
83.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.7%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes99.0ms (0.7%)

Memory
4.0MiB live, 122.5MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Outputs
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Calls

10 calls:

38.0ms
cosTheta_i
8.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
83.7%1u2
83.7%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)))
83.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
83.7%1cosTheta_i
83.7%1u1
83.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
83.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.7%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes86.0ms (0.6%)

Memory
-10.7MiB live, 107.0MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Outputs
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Calls

10 calls:

22.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
7.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
7.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms
cosTheta_i
Results
AccuracySegmentsBranch
83.6%1cosTheta_i
83.6%1u2
83.6%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)))
83.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
83.6%1u1
83.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.6%1(-.f32 #s(literal 1 binary32) u1)
83.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes64.0ms (0.4%)

Memory
3.5MiB live, 116.9MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
Outputs
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
Calls

10 calls:

8.0ms
u2
7.0ms
u1
7.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
cosTheta_i
6.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
80.3%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)))
80.3%1u2
80.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
80.3%1cosTheta_i
80.3%1u1
80.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
80.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
80.3%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
80.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
80.3%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes58.0ms (0.4%)

Memory
1.8MiB live, 122.7MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
Outputs
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
Calls

10 calls:

8.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
6.0ms
u2
6.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
cosTheta_i
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
80.2%1u1
80.2%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
80.2%1(-.f32 #s(literal 1 binary32) u1)
80.2%1cosTheta_i
80.2%1u2
80.2%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
80.2%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
80.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
80.2%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)))
80.2%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes53.0ms (0.4%)

Memory
-15.0MiB live, 102.2MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
Outputs
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
Calls

10 calls:

6.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
cosTheta_i
6.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
u2
Results
AccuracySegmentsBranch
80.2%1cosTheta_i
80.2%1u1
80.2%1u2
80.2%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
80.2%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
80.2%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
80.2%1(-.f32 #s(literal 1 binary32) u1)
80.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
80.2%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)))
80.2%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes48.0ms (0.3%)

Memory
10.0MiB live, 87.6MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
Outputs
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
Calls

10 calls:

6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.0ms
cosTheta_i
5.0ms
u2
5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
77.4%1u2
77.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
77.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
77.4%1(-.f32 #s(literal 1 binary32) u1)
77.4%1cosTheta_i
77.4%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)))
77.4%1u1
77.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
77.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
77.4%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes47.0ms (0.3%)

Memory
0.2MiB live, 78.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
Calls

10 calls:

7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms
cosTheta_i
4.0ms
u2
4.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
73.7%1u1
73.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
73.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
73.7%1u2
73.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
73.7%1(-.f32 #s(literal 1 binary32) u1)
73.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
73.7%1cosTheta_i
73.7%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)))
73.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes43.0ms (0.3%)

Memory
6.2MiB live, 83.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
Calls

10 calls:

5.0ms
u2
5.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
cosTheta_i
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
73.7%1u2
73.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
73.7%1cosTheta_i
73.7%1u1
73.7%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)))
73.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
73.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
73.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
73.7%1(-.f32 #s(literal 1 binary32) u1)
73.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes53.0ms (0.4%)

Memory
-23.5MiB live, 78.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
Calls

10 calls:

17.0ms
cosTheta_i
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u2
4.0ms
(-.f32 #s(literal 1 binary32) u1)
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
72.8%1u2
72.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
72.8%1u1
72.8%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)))
72.8%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
72.8%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
72.8%1cosTheta_i
72.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
72.8%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
72.8%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes37.0ms (0.2%)

Memory
29.5MiB live, 68.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
Outputs
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
Calls

10 calls:

4.0ms
(-.f32 #s(literal 1 binary32) u1)
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms
cosTheta_i
4.0ms
u2
Results
AccuracySegmentsBranch
72.8%1u2
72.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
72.8%1cosTheta_i
72.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
72.8%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)))
72.8%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
72.8%1(-.f32 #s(literal 1 binary32) u1)
72.8%1u1
72.8%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
72.8%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes30.0ms (0.2%)

Memory
-22.7MiB live, 56.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
Outputs
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
Calls

10 calls:

5.0ms
cosTheta_i
4.0ms
(-.f32 #s(literal 1 binary32) u1)
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
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)))
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
70.5%1u2
70.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
70.5%1cosTheta_i
70.5%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)))
70.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
70.5%1u1
70.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
70.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
70.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
70.5%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes20.0ms (0.1%)

Memory
3.8MiB live, 42.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
Calls

10 calls:

3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(*.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
(-.f32 #s(literal 1 binary32) u1)
2.0ms
u2
Results
AccuracySegmentsBranch
61.9%1u2
61.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
61.9%1cosTheta_i
61.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
61.9%1(-.f32 #s(literal 1 binary32) u1)
61.9%1u1
61.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
61.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
61.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
61.9%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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes34.0ms (0.2%)

Memory
-9.9MiB live, 29.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

20.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
1.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
5.0%1cosTheta_i
5.0%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0%1(-.f32 #s(literal 1 binary32) u1)
5.0%1u1
5.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
5.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
5.0%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)))
5.0%1u2
5.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11602460592985153
0.11890339851379395
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11602460592985153
0.11890339851379395
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027462676167488098
0.028100818395614624
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.05458109825849533
0.05538973584771156
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.05458109825849533
0.05538973584771156
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9048529863357544
0.9388871192932129
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11890339851379395
0.1192096695303917
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify40.0ms (0.3%)

Memory
-8.5MiB live, 30.1MiB allocated
Algorithm
egg-herbie
Rules
140×distribute-lft-neg-in_binary32
120×*-commutative_binary32
102×unsub-neg_binary32
92×neg-mul-1_binary32
72×neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124669
1196669
2256669
3338669
4425669
5501669
6559669
7594669
8596669
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 3959423/33554432 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #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 3959423/33554432 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #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 7516193/268435456 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #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 7381975/134217728 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #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 7381975/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 15435039/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))))
(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 7985955/67108864 binary32)) (+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(neg.f32 (sqrt.f32 u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.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 (neg.f32 u1)))))
(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 3959423/33554432 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3959423/33554432 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(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 3959423/33554432 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3959423/33554432 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(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 7516193/268435456 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7516193/268435456 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(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 7381975/134217728 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7381975/134217728 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(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 7381975/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7381975/134217728 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 15435039/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 15435039/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))))
(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 7985955/67108864 binary32)) (+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 7985955/67108864 binary32)) (+.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(+.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (*.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))

soundness1.6s (10.8%)

Memory
69.2MiB live, 1 750.2MiB allocated
Rules
13 772×lower-fma.f64
13 772×lower-fma.f32
10 928×lower-fma.f64
10 928×lower-fma.f32
9 722×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049256
098256
1345211
22378208
08745205
046267
090176
1316175
22272162
09428155
01339
02239
16539
232039
3235537
0864929
03061849
19111570
229181447
371351410
083881352
057314
0116278
1413211
22851209
08659205
07677901
125186896
082426472
09058362
127536998
084006602
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 448 to 726 computations (49.9% saved)

preprocess139.0ms (0.9%)

Memory
10.7MiB live, 242.4MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 2 156 to 936 computations (56.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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