Beckmann Sample, near normal, slope_x

Time bar (total: 13.3s)

analyze287.0ms (2.2%)

Memory
7.4MiB live, 532.1MiB 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)

sample2.1s (15.8%)

Memory
-142.1MiB live, 2 923.9MiB allocated
Samples
1.6s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 393.0ms (30% of total)
const: 324.0ms (24.7% of total)
ival-log: 138.0ms (10.5% of total)
ival-<=: 122.0ms (9.3% of total)
ival-cos: 87.0ms (6.6% of total)
ival-sqrt: 78.0ms (5.9% of total)
ival-sub: 45.0ms (3.4% of total)
ival-neg: 32.0ms (2.4% of total)
ival-and: 30.0ms (2.3% of total)
ival-pi: 29.0ms (2.2% of total)
ival->: 23.0ms (1.8% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess49.0ms (0.4%)

Memory
12.6MiB live, 50.0MiB 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)

explain258.0ms (1.9%)

Memory
-9.2MiB live, 264.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2004(0.9999479055404663 0.005909497383981943 0.00032650341745465994)5(0.9999014735221863 0.014127759262919426 4.1710862319632724e-8)(log.f32 (-.f32 #s(literal 1 binary32) u1))
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-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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))sensitivity19920
Confusion
Predicted +Predicted -
+1882
-1155
Precision
0.9447236180904522
Recall
0.9894736842105263
Confusion?
Predicted +Predicted MaybePredicted -
+18820
-111837
Precision?
0.867579908675799
Recall?
1.0
Freqs
test
numberfreq
057
1199
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 8.0ms (25% of total)
ival-log: 8.0ms (25% of total)
ival-cos: 5.0ms (15.6% of total)
ival-sqrt: 3.0ms (9.4% of total)
ival-pi: 2.0ms (6.3% of total)
ival-sub: 2.0ms (6.3% of total)
ival-neg: 2.0ms (6.3% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(*.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 (0.1%)

Memory
13.1MiB live, 13.1MiB 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

localize73.0ms (0.6%)

Memory
10.8MiB live, 88.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy53.7%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
59.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sub: 19.0ms (37.9% of total)
ival-cos: 19.0ms (37.9% of total)
ival-mult: 4.0ms (8% of total)
ival-log: 4.0ms (8% of total)
ival-sqrt: 2.0ms (4% of total)
ival-pi: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.5%)

Memory
3.2MiB live, 83.0MiB allocated
Counts
5 → 72
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)>
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)))>
Calls

18 calls:

TimeVariablePointExpression
55.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

simplify395.0ms (3%)

Memory
-29.7MiB live, 532.9MiB allocated
Algorithm
egg-herbie
Rules
9 270×lower-fma.f64
9 270×lower-fma.f32
5 620×lower-*.f64
5 620×lower-*.f32
3 580×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891737
18581458
227281335
368821298
081341246
Stop Event
iter limit
node limit
Counts
72 → 71
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)))
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 (log.f32 #s(literal -1 binary32)) (+.f32 (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 (+.f32 (log.f32 #s(literal -1 binary32)) (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))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (neg.f32 u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.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))) (neg.f32 (sqrt.f32 u1))))
(+ (* (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)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (*.f32 u1 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 u1 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 u1)))))
(* (* (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (*.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)))))))) (+ (* -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 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) 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)))))))) (+ (* -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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.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 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 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)))))
(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 (neg.f32 u1))))) (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 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)))))
(neg.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (*.f32 (/.f32 #s(literal 1/2 binary32) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1)))) 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)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1))) (/.f32 (+.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)))) u1))))) (/.f32 #s(literal -1/2 binary32) u1) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))))) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2/3 binary32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 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))))))))))
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/45 binary32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (*.f32 u1 u1) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1/6 binary32) u1 #s(literal -1/4 binary32)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (*.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)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(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 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 (*.f32 u1 u1))) (/.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 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -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)))
(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)))

rewrite242.0ms (1.8%)

Memory
27.1MiB live, 427.7MiB 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
01333
02233
16533
232033
3235531
0864923
Stop Event
iter limit
node limit
iter limit
Counts
5 → 228
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)
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)))))
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(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
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eval56.0ms (0.4%)

Memory
-3.3MiB live, 72.6MiB allocated
Compiler

Compiled 6 980 to 1 363 computations (80.5% saved)

prune97.0ms (0.7%)

Memory
-21.1MiB live, 176.0MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New27326299
Fresh000
Picked011
Done000
Total27327300
Accuracy
99.6%
Counts
300 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.6%
(*.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)))
75.8%
(*.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)))
75.7%
(*.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)))
98.9%
(*.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)))
55.2%
(*.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)))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.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)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (/.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.3%
(*.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)))
52.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.9%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.2%
(*.f32 (sqrt.f32 (neg.f32 (-.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.4%
(*.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)))
79.6%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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)))
92.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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)))
88.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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)))
77.8%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
88.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.4%
(*.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)))
3.5%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 684 to 984 computations (41.6% saved)

simplify282.0ms (2.1%)

Memory
9.6MiB live, 543.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
cost-diff352
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
cost-diff352
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
cost-diff608
(-.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))))
cost-diff0
(+.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))))
cost-diff0
(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)))))
cost-diff0
(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))))))
cost-diff0
(*.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)))
cost-diff0
(*.f32 u1 u1)
cost-diff0
(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)
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff672
(sqrt.f32 #s(approx (neg (log (- 1 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)))
cost-diff0
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(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)))
cost-diff672
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff2592
(neg.f32 (log1p.f32 (neg.f32 u1)))
Rules
10 586×lower-fma.f64
10 576×lower-fma.f32
2 882×lower-*.f64
2 864×lower-*.f32
2 120×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056702
0106690
1198662
2432659
31006645
42087645
54663597
66813597
08024591
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 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.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 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 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)))
#s(approx (neg (log (- 1 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))
(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 u1 u1)
u1
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 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 (/.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)))
(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))))))
(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)))))
(+.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))))
(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)))))
(/.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))))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 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)
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(neg.f32 (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
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.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)))))))
(neg.f32 (-.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 (*.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)))))
(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)))))
(-.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))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 u1 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #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 (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))) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
#s(approx (neg (log (- 1 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))
(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 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.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))) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(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 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
(sqrt.f32 #s(approx (neg (log (- 1 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)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
#s(approx (neg (log (- 1 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))
(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 u1 u1)
u1
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 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 (/.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)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32)))))))
(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))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32))))))
(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)))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 (-.f32 #s(literal -1 binary32) 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 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(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)))))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.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) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(log1p.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))
(neg.f32 (fma.f32 u1 u1 u1))
(*.f32 u1 (-.f32 #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
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (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 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32)))))))
(sqrt.f32 (neg.f32 (-.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)))))))
(sqrt.f32 (-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32))))))
(neg.f32 (-.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 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32)))))
(-.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 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(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 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32))))
(-.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))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #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)))
(/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 u1 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))))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 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

localize270.0ms (2%)

Memory
-9.4MiB live, 508.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.6%
(-.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)))))
accuracy98.2%
(PI.f32)
accuracy56.6%
(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)))))
accuracy53.6%
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.7%
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy98.2%
(PI.f32)
accuracy30.3%
(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)))))
accuracy99.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.3%
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.2%
(PI.f32)
accuracy99.8%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.4%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.2%
(PI.f32)
accuracy99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.4%
(*.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)
accuracy98.2%
(PI.f32)
Samples
85.0ms195×0valid
42.0ms49×1valid
5.0ms3valid
5.0ms2valid
2.0ms0invalid
Compiler

Compiled 758 to 59 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 25.0ms (23.4% of total)
ival-log: 20.0ms (18.7% of total)
ival-add: 15.0ms (14.1% of total)
ival-sqrt: 9.0ms (8.4% of total)
ival-neg: 8.0ms (7.5% of total)
ival-div: 6.0ms (5.6% of total)
ival-sub: 6.0ms (5.6% of total)
adjust: 5.0ms (4.7% of total)
ival-log1p: 5.0ms (4.7% of total)
const: 4.0ms (3.7% of total)
ival-cos: 3.0ms (2.8% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.6%)

Memory
-4.5MiB live, 149.4MiB allocated
Counts
28 → 372
Calls
Call 1
Inputs
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (sqrt.f32 #s(approx (neg (log (- 1 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)))>
#<alt (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (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)>
#<alt (*.f32 u1 u1)>
#<alt (*.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)))>
#<alt (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))))))>
#<alt (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)))))>
#<alt (+.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))))>
#<alt (-.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))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))>
#<alt (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))>
#<alt (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))>
#<alt (PI.f32)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))>
#<alt (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)))))>
#<alt (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))>
#<alt (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))>
#<alt (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)))))>
#<alt (-.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)))))>
Outputs
#<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 (* (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 (* (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 (* -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)))))>
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#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (* (sqrt -1) (sqrt (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (+ (* 1/2 (* (/ (* (sqrt -1) (- 5/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1))))))) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))) (* (sqrt -1) (sqrt (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt -1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))))) u1)) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (sqrt -1) (+ 5/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))))) u1)) (* 1/2 (* (sqrt -1) (sqrt (/ 1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))))))) u1)) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))>
#<alt (* -1 (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))>
#<alt (- (/ 1 u1) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (log -1)) (* 5/3 (/ 1 (pow u1 3)))))))>
#<alt (* -1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))>
#<alt (- (/ 1 u1) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))>
#<alt (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1))))>
#<alt (- (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))) (/ 1 u1))>
#<alt (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (* 2 (log -1)))))>
#<alt (- (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (log -1)) (* 5/3 (/ 1 (pow u1 3)))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))>
#<alt (- (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))) (/ 1 u1))>
#<alt (+ (log -1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))))>
#<alt (+ (log -1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u1)) 1/2) u1))) u1)))))>
#<alt 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- (* 3 u1) 2)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* 2 (/ 1 u1)) 1))>
#<alt (* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 3 (pow u1 2)))))>
#<alt (* (pow u1 2) (- (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3)))) (+ 1 (/ 3 (pow u1 2)))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* 2 (/ 1 u1)) 1))>
#<alt (* (pow u1 2) (- (* -1 (/ (- (* 3 (/ 1 u1)) 2) u1)) 1))>
#<alt (* (pow u1 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 u1)) 3) u1)) 2) u1)) 1))>
#<alt 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- (* 3 u1) 2)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))) (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) u1))) (pow u1 2))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- (* 2 u1) 1)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 2 (* -2 u1))) 1)))>
#<alt u1>
#<alt (* u1 (- 1 (/ 1 u1)))>
#<alt (* u1 (- (+ 1 (/ 2 (pow u1 2))) (/ 1 u1)))>
#<alt (* u1 (- (+ 1 (/ 2 (pow u1 2))) (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3))))))>
#<alt u1>
#<alt (* -1 (* u1 (- (/ 1 u1) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (* 2 (/ 1 u1)) 1) u1)) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1)) 1) u1)) 1)))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* -2 u1)))>
#<alt (* (pow u1 4) (+ 1 (* u1 (- (* 3 u1) 2))))>
#<alt (* (pow u1 4) (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) 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 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 3 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))>
#<alt (+ (log -1) (log (/ 1 u1)))>
#<alt (- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))>
#<alt (log (/ -1 u1))>
#<alt (- (log (/ -1 u1)) (* 2 (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) 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)))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* 3/2 u1) 1))>
#<alt (* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))>
#<alt (* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (- (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))>
#<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 (* 3/2 (/ 1 u1))) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))))>
#<alt (* -2 u1)>
#<alt (* u1 (- u1 2))>
#<alt (* u1 (- (* u1 (+ 1 (* -2/3 u1))) 2))>
#<alt (* u1 (- (* u1 (+ 1 (* u1 (- (* -1/2 u1) 2/3)))) 2))>
#<alt (+ (log -1) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3)))))>
#<alt (+ (log -1) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 u1)))) (* 2 (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 2 (/ 1 u1)) u1))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 u1))) u1))) u1))))>
#<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))))>
Calls

93 calls:

TimeVariablePointExpression
41.0ms
u2
@inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
12.0ms
u2
@0
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))))

simplify485.0ms (3.7%)

Memory
0.6MiB live, 523.1MiB allocated
Algorithm
egg-herbie
Rules
8 990×lower-fma.f64
8 990×lower-fma.f32
6 316×lower-*.f64
6 316×lower-*.f32
4 612×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07848159
124406792
273586766
080406418
Stop Event
iter limit
node limit
Counts
372 → 367
Calls
Call 1
Inputs
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))))
(* (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)))
(* (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))))))
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(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3/2 binary32) u1)) u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -2 u1)
(*.f32 u1 #s(literal -2 binary32))
(* u1 (- u1 2))
(*.f32 u1 (+.f32 u1 #s(literal -2 binary32)))
(* u1 (- (* u1 (+ 1 (* -2/3 u1))) 2))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -2/3 binary32) #s(literal 1 binary32)) #s(literal -2 binary32)))
(* u1 (- (* u1 (+ 1 (* u1 (- (* -1/2 u1) 2/3)))) 2))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -2/3 binary32)) #s(literal 1 binary32)) #s(literal -2 binary32)))
(+ (log -1) (* -2 (log (/ 1 u1))))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal -2 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 2 binary32) u1) (/.f32 #s(literal 2/3 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(+ (log -1) (* -2 (log (/ -1 u1))))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) u1)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 2 (/ 1 u1)) u1))))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 u1))) u1))) u1))))
(-.f32 (fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2/3 binary32) u1)) u1)) u1))
(* -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) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 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) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 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)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u1))))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (neg.f32 (log.f32 (neg.f32 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (neg.f32 u1)) (neg.f32 (log.f32 (neg.f32 u1))))

rewrite481.0ms (3.6%)

Memory
10.4MiB live, 407.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 268×lower-fma.f64
3 258×lower-fma.f32
3 022×lower-*.f64
3 008×lower-*.f32
2 894×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053387
0100215
1391197
23301196
08881175
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 083
Calls
Call 1
Inputs
(neg.f32 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(log1p.f32 (neg.f32 u1))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sqrt.f32 #s(approx (neg (log (- 1 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)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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 u1 u1)
(*.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)))
(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))))))
(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)))))
(+.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 (*.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))))
(*.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.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)))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(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)))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 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))))
(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)))))
(-.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)))))
Outputs
(neg.f32 (neg.f32 #s(approx (neg (log (- 1 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))))
(neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(+.f32 #s(literal 0 binary32) #s(approx (neg (log (- 1 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)))
(+.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 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 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(+.f32 #s(approx (neg (log (- 1 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)) #s(literal 0 binary32))
(+.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal -1 binary32)))
(+.f32 (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal -1 binary32)) (*.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 #s(approx (neg (log (- 1 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))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(fma.f32 (neg.f32 #s(approx (neg (log (- 1 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))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal -1 binary32)))
(fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal -1 binary32) (*.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (neg.f32 #s(approx (neg (log (- 1 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))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 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))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (neg (log (- 1 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))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 2 binary32)))))
(/.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
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(*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 2 binary32)))))
(*.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(*.f32 (*.f32 (log.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 #s(approx (neg (log (- 1 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)))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(log.f32 (+.f32 u1 #s(literal 1 binary32)))
(log.f32 (/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))))

eval347.0ms (2.6%)

Memory
15.4MiB live, 357.6MiB allocated
Compiler

Compiled 79 363 to 5 984 computations (92.5% saved)

prune384.0ms (2.9%)

Memory
21.5MiB live, 464.7MiB allocated
Pruning

40 alts after pruning (37 fresh and 3 done)

PrunedKeptTotal
New1 655291 684
Fresh13821
Picked325
Done011
Total1 671401 711
Accuracy
99.8%
Counts
1 711 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 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)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (pow.f32 (*.f32 #s(approx (neg (log (- 1 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)) #s(approx (neg (log (- 1 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))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 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)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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)))))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 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)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))))) (neg.f32 #s(approx (neg (log (- 1 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
67.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 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)))
98.9%
(*.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)))
55.2%
(*.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)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (/.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 (+.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
51.9%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.4%
(*.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)))
73.4%
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
68.5%
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
82.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (*.f32 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.4%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
83.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
55.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
92.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
88.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
77.8%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.6%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (-.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)))))))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
86.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
79.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
92.1%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 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))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.9%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
3.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Compiler

Compiled 2 760 to 1 482 computations (46.3% saved)

simplify270.0ms (2%)

Memory
15.1MiB live, 437.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff64
(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)))))
cost-diff352
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
cost-diff384
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(+.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))))
cost-diff0
(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)))))
cost-diff0
(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))))))
cost-diff0
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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-diff480
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff480
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff2784
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff3200
(log.f32 (E.f32))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
Rules
10 172×lower-fma.f64
10 164×lower-fma.f32
2 668×lower-*.f64
2 650×lower-*.f32
1 670×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062481
0118477
1205436
2381429
3765429
41490429
53516429
64809429
75896429
86619429
97278429
107855429
08015413
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
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (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 (/.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(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))))))
(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)))))
(+.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))))
(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)))))
(/.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))))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 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)
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(neg.f32 (fma.f32 u1 u1 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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)))
(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))))))
(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)))))
(+.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))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
u1
(neg.f32 u1)
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) 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))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
#s(approx (neg (log (- 1 u1))) (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))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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 (/.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))))
(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))))))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
(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)))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
(+.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 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(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)))))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (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) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(neg.f32 (fma.f32 u1 u1 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(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))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(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)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.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 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
u1
(neg.f32 u1)
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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

localize265.0ms (2%)

Memory
5.4MiB live, 526.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
accuracy97.4%
(PI.f32)
accuracy53.5%
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
accuracy99.4%
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy99.4%
(+.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))))
accuracy98.7%
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy30.4%
(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)))))
accuracy99.6%
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
accuracy99.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)
accuracy97.4%
(PI.f32)
accuracy100.0%
(sqrt.f32 u1)
accuracy100.0%
(neg.f32 (sqrt.f32 u1))
accuracy99.4%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy97.4%
(PI.f32)
accuracy97.4%
(E.f32)
accuracy97.0%
(log.f32 (E.f32))
Samples
109.0ms193×0valid
60.0ms49×1valid
8.0ms2valid
3.0ms5exit
2.0ms0invalid
Compiler

Compiled 544 to 59 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 35.0ms (24.8% of total)
ival-neg: 33.0ms (23.4% of total)
ival-log: 17.0ms (12.1% of total)
ival-add: 10.0ms (7.1% of total)
ival-sqrt: 9.0ms (6.4% of total)
ival-log1p: 9.0ms (6.4% of total)
ival-div: 6.0ms (4.3% of total)
ival-cos: 6.0ms (4.3% of total)
adjust: 5.0ms (3.5% of total)
const: 4.0ms (2.8% of total)
ival-sub: 3.0ms (2.1% of total)
ival-e: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory
5.4MiB live, 120.1MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#<alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))>
#<alt (log.f32 (E.f32))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))>
#<alt (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)>
#<alt (*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))>
#<alt (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))))))>
#<alt (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)))))>
#<alt (+.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))))>
#<alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))>
#<alt (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)))))>
#<alt (E.f32)>
#<alt (PI.f32)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (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)))))>
#<alt (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))>
Outputs
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (pow (log (E)) 2))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (pow (log (E)) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (pow (log (E)) 2))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (pow (log (E)) 6)))) (* 2/3 (* (pow (PI) 4) (pow (log (E)) 4))))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (cos (* 2 (* u2 (* (PI) (log (E))))))>
#<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 (* (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 (* (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)))))>
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#<alt (- (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))>
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#<alt (* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))>
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#<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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))>
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#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))>
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#<alt (pow u1 2)>
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#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (pow u1 4)>
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#<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))))>
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#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- u1 1)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))>
#<alt (/ 1 u1)>
#<alt (/ (- 1 (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)>
#<alt (/ 1 u1)>
#<alt (* -1 (/ (- (/ 1 u1) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))>
Calls

75 calls:

TimeVariablePointExpression
40.0ms
u2
@0
(* (* 2 (* (PI) (log (E)))) u2)
3.0ms
u2
@0
(cos (* (* 2 (* (PI) (log (E)))) u2))
0.0ms
u2
@inf
(* (* 2 (* (PI) (log (E)))) u2)
0.0ms
u1
@inf
(+ (* (* u1 u1) (+ (* u1 1/3) 1/2)) u1)
0.0ms
u1
@inf
(neg (+ (log (+ 1 (* u1 (neg u1)))) (log (/ (/ 1 (+ 1 u1)) 1))))

simplify438.0ms (3.3%)

Memory
-5.6MiB live, 747.3MiB allocated
Algorithm
egg-herbie
Rules
10 804×lower-fma.f64
10 804×lower-fma.f32
6 800×lower-*.f64
6 800×lower-*.f32
4 674×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06666618
120775531
264655480
088645190
Stop Event
iter limit
node limit
Counts
300 → 296
Calls
Call 1
Inputs
1
(+ 1 (* -2 (* (pow u2 2) (* (pow (PI) 2) (pow (log (E)) 2)))))
(+ 1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (pow (log (E)) 2))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (pow (log (E)) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (pow (log (E)) 2))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (pow (log (E)) 6)))) (* 2/3 (* (pow (PI) 4) (pow (log (E)) 4))))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
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))))
(* (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))))))))
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(* (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)))
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(+ (* -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)))))))))))
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(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
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(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (log -1)) (* 5/3 (/ 1 (pow u1 3)))))))
(* -1 (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(- (/ 1 u1) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(- (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1)) (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))
(+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1))))
(- (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* 2 (log -1)))) (/ 1 u1))
(+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (* 2 (log -1)))))
(- (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (log -1)) (* 5/3 (/ 1 (pow u1 3)))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1)))))
(- (+ (log -1) (+ (log (/ -1 u1)) (* -2 (log (/ -1 u1))))) (/ 1 u1))
(+ (log -1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))))
(+ (log -1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u1)) 1/2) u1))) u1)))))
(* -1 u1)
(* u1 (- (* 1/2 u1) 1))
(* u1 (- (* u1 (+ 1/2 (* -1/3 u1))) 1))
(* u1 (- (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 1/3)))) 1))
(log (/ 1 u1))
(- (log (/ 1 u1)) (/ 1 u1))
(- (+ (log (/ 1 u1)) (/ 1/2 (pow u1 2))) (/ 1 u1))
(- (+ (log (/ 1 u1)) (/ 1/2 (pow u1 2))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))
(+ (log -1) (log (/ -1 u1)))
(- (+ (log -1) (log (/ -1 u1))) (/ 1 u1))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (- 1 (* 1/2 (/ 1 u1))) u1))))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 u1))) u1))) u1))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
(- (/ 1 u1) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
(* -1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(- (/ 1 u1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(* 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 (* 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 u1 2)
(* (pow u1 2) (+ 1 (* 3 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(+ (log -1) (log (/ 1 u1)))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(log (/ -1 u1))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) 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)))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (* (pow (PI) 2) (pow (log (E)) 2)))))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (pow (log (E)) 2))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (pow (log (E)) 4)))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (pow (log (E)) 2))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (pow (log (E)) 6)))) (* 2/3 (* (pow (PI) 4) (pow (log (E)) 4))))))))
(fma.f32 (*.f32 u2 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) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (* (PI) (log (E))))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
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 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(- (/ 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 (/.f32 #s(literal 1 binary32) u1) (/.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) (neg.f32 (log.f32 (neg.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (log.f32 (neg.f32 u1)))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.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 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 (*.f32 u1 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 (sqrt.f32 #s(literal -1 binary32)) u1) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) u1) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) u1) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) u1) (neg.f32 (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 (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 1/3 binary32)) u1))) u1) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))))) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 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 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 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)))))))))
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(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 u1))) u1))) u1))))
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.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
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (- u1 1)))
(fma.f32 u1 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (- 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (neg.f32 u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)) (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 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(* -1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
(-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(- (/ 1 u1) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (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) (+ (log (/ 1 u1)) (* -2 (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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.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))))
(* -1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))
(- (/ 1 u1) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))
(-.f32 (fma.f32 #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 3 u1)))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 3 binary32) #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 3/2 binary32) #s(literal 3 binary32)) #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(*.f32 u1 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal 2 binary32) u1 #s(literal 3/2 binary32)) #s(literal 3 binary32))) u1))
(+ (log -1) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (log.f32 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal -2 binary32) u1))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 #s(literal -2 binary32) u1))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(-.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))
(-.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(*.f32 u1 (fma.f32 #s(literal 2 binary32) (*.f32 u1 u1) u1))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 u1 (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 2 binary32) u1) u1))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 u1 (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 2 binary32) u1) u1))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1 binary32) (/.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 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 2 binary32) u1)))
(pow u1 4)
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1 binary32) (/.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 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 2 binary32) u1)))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (- u1 1)))
(fma.f32 u1 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (- 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (neg.f32 u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)) (neg.f32 u1))

rewrite355.0ms (2.7%)

Memory
16.4MiB live, 575.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 102×lower-*.f64
3 088×lower-*.f32
2 830×lower-/.f64
2 824×lower-/.f32
2 534×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059266
0110159
1380159
22634140
09123124
Stop Event
iter limit
node limit
iter limit
Counts
25 → 978
Calls
Call 1
Inputs
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
(log.f32 (E.f32))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
(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 (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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(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))))))
(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)))))
(+.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))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(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)))))
(E.f32)
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(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)))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
Outputs
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(neg.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(+.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 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 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(+.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(+.f32 (neg.f32 (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))) (log.f32 #s(literal -1 binary32)))
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(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 u1))
(*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (fma.f32 u1 u1 u1)))) #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 u1 u1 u1) (+.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (pow.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 u1 u1))
(*.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (exp.f32 (log.f32 (fma.f32 u1 u1 u1))))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(exp.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))

eval167.0ms (1.3%)

Memory
0.6MiB live, 307.7MiB allocated
Compiler

Compiled 50 965 to 5 152 computations (89.9% saved)

prune476.0ms (3.6%)

Memory
-4.6MiB live, 601.2MiB allocated
Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New1 259311 290
Fresh131932
Picked235
Done033
Total1 274561 330
Accuracy
99.9%
Counts
1 330 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.0%
(*.f32 (pow.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.4%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 u1))) (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)))
77.8%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
65.6%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.3%
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
92.6%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(literal 0 binary32)) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (+.f32 #s(literal 0 binary32) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 0 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.0%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(literal 0 binary32)) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (+.f32 #s(literal 0 binary32) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 0 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.6%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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)))
55.9%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
55.2%
(*.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)))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 (+.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
51.9%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.6%
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
50.6%
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
94.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 1)) (*.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)))
78.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.0%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
52.4%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
83.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
55.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
92.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
88.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
77.8%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.9%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
75.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
66.9%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
86.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.9%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
88.6%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.1%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
94.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (-.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)))))))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
86.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
79.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
84.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
78.0%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
88.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (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)))
90.2%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
90.2%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 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)))
3.9%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
3.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Compiler

Compiled 3 470 to 1 914 computations (44.8% saved)

simplify318.0ms (2.4%)

Memory
-25.5MiB live, 376.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff6144
(pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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-diff96
(-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32))
cost-diff1600
(/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(neg.f32 u1)
cost-diff0
(neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))
cost-diff0
(sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff3520
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Rules
10 002×lower-fma.f64
9 992×lower-fma.f32
3 354×lower-*.f64
3 334×lower-*.f32
1 722×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078702
0122666
1251645
2598595
31414587
43208587
55897579
08094537
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))))
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
u1
(neg.f32 u1)
#s(approx (log (/ (/ 1 (+ 1 u1)) 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))))
(*.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)))
(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))
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32))
#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 (*.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 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))))
(neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))
#s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
(neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))
#s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (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 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32))
(*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (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)
#s(literal 0 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 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32))
#s(approx (neg (log (- 1 u1))) (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)
#s(literal 1/4 binary32)
#s(literal 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))
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
u1
(neg.f32 u1)
#s(approx (log (/ (/ 1 (+ 1 u1)) 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))))
(*.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)))
(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))
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32))
#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))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))))
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))))
(neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))
#s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
(neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))
#s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32))
(*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
#s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 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)
(fma.f32 u1 (*.f32 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)
#s(literal 0 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
(pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32))
(pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1/4 binary32))
#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
#s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 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)
(fma.f32 u1 (*.f32 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)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.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))
(PI.f32)
u2

localize309.0ms (2.3%)

Memory
15.1MiB live, 448.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.5%
(pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy97.4%
(PI.f32)
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
accuracy98.8%
(/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
accuracy97.4%
(PI.f32)
accuracy99.6%
(sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (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)
accuracy97.4%
(PI.f32)
accuracy100.0%
(neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))
accuracy100.0%
(neg.f32 u1)
accuracy99.7%
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy99.1%
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.0%
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32))
accuracy97.4%
(PI.f32)
Samples
144.0ms249×0valid
4.0ms5exit
2.0ms0invalid
Compiler

Compiled 729 to 75 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-mult: 29.0ms (23.6% of total)
ival-log: 19.0ms (15.5% of total)
ival-sub: 13.0ms (10.6% of total)
ival-add: 12.0ms (9.8% of total)
ival-neg: 9.0ms (7.3% of total)
ival-div: 8.0ms (6.5% of total)
const: 7.0ms (5.7% of total)
ival-sqrt: 6.0ms (4.9% of total)
ival-log1p: 6.0ms (4.9% of total)
ival-cos: 4.0ms (3.3% of total)
ival-pow: 4.0ms (3.3% of total)
ival-pow2: 2.0ms (1.6% of total)
adjust: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-pi: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series217.0ms (1.6%)

Memory
-0.0MiB live, 161.8MiB allocated
Counts
22 → 312
Calls
Call 1
Inputs
#<alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))))>
#<alt (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))>
#<alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))>
#<alt (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))))>
#<alt (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))>
#<alt (neg.f32 u1)>
#<alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))>
#<alt (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))>
#<alt (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))>
#<alt (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32))>
#<alt (*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32))>
#<alt (PI.f32)>
#<alt (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32))>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))>
#<alt (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))>
Outputs
#<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 (* (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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1)) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))>
#<alt (* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))) (* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1)))))))>
#<alt (+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1)))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))))))>
#<alt (+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1)))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (sqrt -1) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))>
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#<alt -1/3>
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#<alt (+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))>
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Calls

78 calls:

TimeVariablePointExpression
106.0ms
u2
@inf
(* (sqrt (neg (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
30.0ms
u2
@inf
(* (sqrt (neg (+ (log (+ 1 (* u1 (neg u1)))) (log (/ (/ 1 (+ 1 u1)) 1))))) (cos (* (* 2 (PI)) u2)))
28.0ms
u1
@-inf
(neg (+ (log (+ 1 (* u1 (neg u1)))) (log (/ (/ 1 (+ 1 u1)) 1))))
2.0ms
u1
@0
(* (sqrt (neg (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (sqrt (neg (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))

simplify663.0ms (5%)

Memory
17.0MiB live, 489.5MiB allocated
Algorithm
egg-herbie
Rules
10 254×lower-fma.f64
10 254×lower-fma.f32
7 112×lower-*.f64
7 112×lower-*.f32
4 982×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010079916
131698268
085197833
Stop Event
iter limit
node limit
Counts
312 → 308
Calls
Call 1
Inputs
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))))
(* (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)))))))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))
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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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))
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(* u1 (- 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* -1 (* u1 (- (* 1/3 (/ 1 u1)) 1/4)))
(* -1 (* u1 (- (* 1/3 (/ 1 u1)) 1/4)))
(* -1 (* u1 (- (* 1/3 (/ 1 u1)) 1/4)))
(* 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)))
(* -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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))
(- (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))) (/ 1 u1))
(+ (log -1) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2)))))) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))
(- (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (* 2 (log -1)))))
(+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (+ (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)) (* 2 (log -1)))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(pow (log (/ -1 u1)) 2)
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 u2 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 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 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))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (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)))) (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 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (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 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 #s(literal -1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)) 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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.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 (*.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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))) (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.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 (*.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)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))
(fma.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)) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.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) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))) u1)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))) (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1)) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (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))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (fma.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) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.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) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) #s(literal -1/4 binary32)) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) u1)))) u1)) (neg.f32 u1)))
(* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))) (* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1)))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (+ (log (+ 1 (* -1 (pow u1 2)))) (log (/ 1 (+ 1 u1))))))))))
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(* 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 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) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (+ (log (/ 1 u1)) (* -2 (log (/ 1 u1))))) (/ 1 u1))
(+.f32 (log.f32 u1) (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (* -2 (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) (+ (log (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2)))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1))))
(fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (* 2 (log -1)))) (/ 1 u1))
(+.f32 (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (+ (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (* 2 (log -1)))))
(+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))))
(+ (log (/ -1 u1)) (+ (* -2 (log (/ -1 u1))) (+ (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)) (* 2 (log -1)))))
(+.f32 (fma.f32 #s(literal 2 binary32) (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (neg.f32 u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(*.f32 (fma.f32 u1 u1 u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(*.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/6 binary32) #s(literal 11/12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
(pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))
(fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) u1) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) u1) (-.f32 (+.f32 (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 u1))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) u1) (-.f32 (+.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 u1))))
(pow (log (/ -1 u1)) 2)
(pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) u1) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (neg.f32 u1))) u1))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2/3 binary32) #s(literal -1 binary32)) u1)) (neg.f32 u1))) u1))

rewrite462.0ms (3.5%)

Memory
-14.8MiB live, 625.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 328×lower-fma.f64
4 318×lower-fma.f32
4 154×lower-*.f64
4 136×lower-*.f32
1 966×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078437
0122320
1535223
24724193
08199162
Stop Event
iter limit
node limit
iter limit
Counts
22 → 625
Calls
Call 1
Inputs
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))))
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1))))
(neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))
(neg.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
(neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))
(/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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)))
(pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32))
(PI.f32)
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))))
(*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
Outputs
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 (pow.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (pow.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 1/4 binary32))) (pow.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))))
(exp.f32 (log.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) #s(literal 1/2 binary32))
(sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
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(*.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))
(*.f32 (pow.f32 (fma.f32 #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))) (*.f32 #s(approx (log (/ (/ 1 (+ 1 u1)) 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)))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (log (/ (/ 1 (+ 1 u1)) 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.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 (pow.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 2 binary32)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(literal 2 binary32)))

eval127.0ms (1%)

Memory
8.6MiB live, 323.8MiB allocated
Compiler

Compiled 35 825 to 3 148 computations (91.2% saved)

prune227.0ms (1.7%)

Memory
-8.1MiB live, 519.2MiB allocated
Pruning

64 alts after pruning (56 fresh and 8 done)

PrunedKeptTotal
New1 069241 093
Fresh133245
Picked325
Done066
Total1 085641 149
Accuracy
99.9%
Counts
1 149 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
77.0%
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.0%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
77.4%
(*.f32 (pow.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.4%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 u1))) (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)))
77.8%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
92.3%
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
75.7%
(*.f32 (sqrt.f32 (/.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (neg (log (- 1 u1))) (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)))
77.8%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 0 binary32))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.6%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
75.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) #s(approx (neg (log (- 1 u1))) (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)))
77.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (/.f32 #s(literal -1 binary32) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.2%
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (fma.f32 u1 u1 u1) u1)) #s(approx (neg (log (- 1 u1))) (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)))
91.7%
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) u1) u1)) #s(approx (neg (log (- 1 u1))) (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)))
93.1%
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/6 binary32) #s(literal 11/12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(approx (neg (log (- 1 u1))) (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)))
77.8%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.6%
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
54.7%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (neg.f32 u1)) u1)) (log.f32 (/.f32 #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)))
50.6%
(*.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)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
79.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.0%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 1)) (*.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)))
87.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.0%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
99.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
83.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
55.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
92.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
88.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
71.8%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
72.9%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
75.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
66.9%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
52.3%
(*.f32 (sqrt.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.4%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.6%
(*.f32 (sqrt.f32 #s(approx (/ (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (neg (log (- 1 u1)))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
86.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.9%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
75.1%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
94.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (-.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)))))))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
86.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
79.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))
84.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
78.0%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
88.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (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)))
90.2%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
90.2%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 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)))
88.8%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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)))
77.8%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.9%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
3.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Compiler

Compiled 4 896 to 1 612 computations (67.1% saved)

regimes308.0ms (2.3%)

Memory
9.7MiB live, 555.6MiB allocated
Counts
111 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (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 #s(approx (/ (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (neg (log (- 1 u1)))) (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 #s(approx (log (- 1 u1)) (*.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 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
(*.f32 (pow.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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 #s(literal -1 binary32) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.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)))
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(*.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 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 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)))
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 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)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (neg.f32 u1)) u1)) (log.f32 (/.f32 #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 (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)))
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(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (-.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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)))
(*.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 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (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)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (neg.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 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 (/.f32 (sqrt.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.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)))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 (+.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (-.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.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))))))) (cos.f32 (*.f32 (*.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)))
Calls

10 calls:

33.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
32.0ms
(-.f32 #s(literal 1 binary32) u1)
32.0ms
u1
31.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
30.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.0%1(-.f32 #s(literal 1 binary32) u1)
99.0%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes160.0ms (1.2%)

Memory
34.8MiB live, 314.6MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
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(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/6 binary32) #s(literal 11/12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (/.f32 #s(literal -1 binary32) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))))) (neg.f32 #s(approx (neg (log (- 1 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))))) (neg.f32 #s(approx (neg (log (- 1 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

20.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
16.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
15.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
94.6%1cosTheta_i
98.4%2u1
98.7%2u2
98.6%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)))
98.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.4%2(-.f32 #s(literal 1 binary32) u1)
98.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes49.0ms (0.4%)

Memory
-25.2MiB live, 95.1MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (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 #s(approx (/ (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (neg (log (- 1 u1)))) (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 #s(approx (log (- 1 u1)) (*.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 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
(*.f32 (pow.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(approx (log (/ (/ 1 (+ 1 u1)) 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))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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 #s(literal -1 binary32) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(literal 0 binary32)) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (+.f32 #s(literal 0 binary32) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 0 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (fma.f32 u1 u1 u1) u1)) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(literal 0 binary32))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) u1) u1)) #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))))
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/6 binary32) #s(literal 11/12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (/.f32 #s(literal -1 binary32) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (/.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (neg (log (- 1 u1))) (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 (/.f32 (*.f32 (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)) #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) #s(approx (neg (log (- 1 u1))) (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)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Calls

3 calls:

15.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
15.0ms
u2
14.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
98.7%2u2
98.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes87.0ms (0.7%)

Memory
18.3MiB live, 178.2MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (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 #s(approx (/ (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (neg (log (- 1 u1)))) (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 #s(approx (log (- 1 u1)) (*.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 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.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)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))
(*.f32 (pow.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Calls

9 calls:

11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms
u2
10.0ms
u1
9.0ms
(*.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
97.7%2u1
97.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.7%2(-.f32 #s(literal 1 binary32) u1)
98.1%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)))
98.4%2u2
98.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes36.0ms (0.3%)

Memory
4.7MiB live, 83.7MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (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 #s(approx (/ (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (neg (log (- 1 u1)))) (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 #s(approx (log (- 1 u1)) (*.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 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

4 calls:

9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
u2
8.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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
97.3%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)))
97.9%2u2
97.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes108.0ms (0.8%)

Memory
-13.4MiB live, 117.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (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 #s(approx (/ (- (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 0) (neg (log (- 1 u1)))) (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 #s(approx (log (- 1 u1)) (*.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 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (*.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 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

23.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
22.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
u1
8.0ms
cosTheta_i
8.0ms
u2
Results
AccuracySegmentsBranch
95.8%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
95.4%2u1
95.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.4%2(-.f32 #s(literal 1 binary32) u1)
88.6%1cosTheta_i
96.1%2u2
96.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes64.0ms (0.5%)

Memory
-21.5MiB live, 133.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (*.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 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)))
8.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms
u1
7.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
u2
Results
AccuracySegmentsBranch
92.1%2u1
92.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
92.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
92.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
92.1%2(-.f32 #s(literal 1 binary32) u1)
92.1%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)))
93.1%2u2
93.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes57.0ms (0.4%)

Memory
-0.1MiB live, 120.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (* (PI) (log (E)))) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Calls

10 calls:

7.0ms
u1
7.0ms
cosTheta_i
6.0ms
u2
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
86.4%1cosTheta_i
90.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
90.0%2(-.f32 #s(literal 1 binary32) u1)
90.0%2u1
90.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
90.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.9%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)))
89.7%2u2
89.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
89.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes46.0ms (0.4%)

Memory
9.9MiB live, 87.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 0 binary32)) #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Calls

9 calls:

7.0ms
u2
5.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms
u1
Results
AccuracySegmentsBranch
86.4%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
86.4%1u2
86.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
86.4%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)))
86.4%1u1
86.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
86.4%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes47.0ms (0.4%)

Memory
1.8MiB live, 81.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
Calls

10 calls:

6.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
cosTheta_i
4.0ms
u2
Results
AccuracySegmentsBranch
84.7%1cosTheta_i
84.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
84.7%1(-.f32 #s(literal 1 binary32) u1)
84.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.7%1u1
84.7%1u2
84.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
84.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
84.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
84.7%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 75 to 64 computations (14.7% saved)

regimes43.0ms (0.3%)

Memory
-0.5MiB live, 77.6MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

5.0ms
u2
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
cosTheta_i
4.0ms
u1
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
83.3%2u1
83.7%2u2
83.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.3%2(-.f32 #s(literal 1 binary32) u1)
83.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
83.3%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)))
79.6%1cosTheta_i
83.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes44.0ms (0.3%)

Memory
-0.2MiB live, 82.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -5/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

7.0ms
(*.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
u1
4.0ms
cosTheta_i
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u2
Results
AccuracySegmentsBranch
79.6%1cosTheta_i
79.6%1u1
79.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
79.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
79.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
79.6%1(-.f32 #s(literal 1 binary32) u1)
79.6%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)))
79.6%1u2
79.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
79.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes38.0ms (0.3%)

Memory
-7.8MiB live, 69.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fabs.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

6.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
5.0ms
u2
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
78.0%1u2
78.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
78.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
78.0%1(-.f32 #s(literal 1 binary32) u1)
78.0%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
78.0%1u1
78.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
78.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
78.0%1cosTheta_i
78.0%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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes24.0ms (0.2%)

Memory
0.7MiB live, 41.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

5.0ms
u2
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
cosTheta_i
2.0ms
u1
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
75.1%1u2
75.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
75.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
75.1%1(-.f32 #s(literal 1 binary32) u1)
75.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
75.1%1cosTheta_i
75.1%1u1
75.1%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)))
75.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
75.1%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes16.0ms (0.1%)

Memory
34.2MiB live, 34.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

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
u1
2.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
2.0ms
u2
Results
AccuracySegmentsBranch
66.9%1u2
66.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
66.9%1(-.f32 #s(literal 1 binary32) u1)
66.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
66.9%1cosTheta_i
66.9%1u1
66.9%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)))
66.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
66.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
66.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes14.0ms (0.1%)

Memory
-12.8MiB live, 25.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms
cosTheta_i
1.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms
u1
Results
AccuracySegmentsBranch
3.8%1cosTheta_i
3.8%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.8%1(-.f32 #s(literal 1 binary32) u1)
3.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.8%1u1
3.8%1u2
3.8%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)))
3.8%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
3.8%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
3.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02602582797408104
0.02640697918832302
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9991507530212402
0.9995755553245544
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9991507530212402
0.9995755553245544
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.062211744487285614
0.06412719935178757
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0008538424735888839
0.0009662106167525053
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0026124862488359213
0.003073532832786441
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9542057514190674
0.9549649953842163
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999952912330627
0.9999966025352478
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify31.0ms (0.2%)

Memory
10.5MiB live, 49.1MiB allocated
Algorithm
egg-herbie
Rules
104×distribute-lft-neg-in_binary32
84×neg-mul-1_binary32
70×*-commutative_binary32
58×neg-sub0_binary32
48×unsub-neg_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129757
1179753
2213753
3248753
4278753
5319753
6357753
7406753
8414753
9428753
10445753
11464753
12473753
13482753
14485753
15491753
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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7033009/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))))) (neg.f32 #s(approx (neg (log (- 1 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16768827/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16768827/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7730941/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16013853/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777149/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7033009/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 #s(approx (neg (log (- 1 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))) (neg.f32 #s(approx (neg (log (- 1 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))))) (neg.f32 #s(approx (neg (log (- 1 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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7033009/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (/.f32 (*.f32 #s(approx (neg (log (- 1 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)) #s(approx (neg (log (- 1 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))) #s(approx (neg (log (- 1 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))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16768827/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16768827/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 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)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16768827/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16768827/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7730941/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 7730941/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16013853/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16013853/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 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)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 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))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777149/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777149/16777216 binary32)) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (- (log (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (log (+ (/ 1 (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))) (neg.f32 u1))))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))

soundness1.7s (12.8%)

Memory
-113.6MiB live, 1 291.3MiB allocated
Rules
10 804×lower-fma.f64
10 804×lower-fma.f32
10 254×lower-fma.f64
10 254×lower-fma.f32
9 270×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010079916
131698268
085197833
02891737
18581458
227281335
368821298
081341246
059266
0110159
1380159
22634140
09123124
053387
0100215
1391197
23301196
08881175
07848159
124406792
273586766
080406418
06666618
120775531
264655480
088645190
01333
02233
16533
232033
3235531
0864923
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 182 to 652 computations (44.8% saved)

preprocess74.0ms (0.6%)

Memory
33.8MiB live, 191.8MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 254 to 500 computations (60.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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