Beckmann Sample, near normal, slope_y

Time bar (total: 12.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze319.0ms (2.6%)

Memory
41.9MiB live, 550.1MiB 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)

sample2.2s (18%)

Memory
-6.1MiB live, 2 342.2MiB allocated
Samples
1.7s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
const: 387.0ms (27.2% of total)
ival-sin: 206.0ms (14.5% of total)
ival-mult: 194.0ms (13.7% of total)
ival-log: 187.0ms (13.2% of total)
ival-<=: 105.0ms (7.4% of total)
ival->: 92.0ms (6.5% of total)
ival-sqrt: 86.0ms (6.1% of total)
ival-sub: 61.0ms (4.3% of total)
ival-neg: 34.0ms (2.4% of total)
ival-and: 30.0ms (2.1% of total)
ival-pi: 28.0ms (2% of total)
exact: 9.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess51.0ms (0.4%)

Memory
4.2MiB live, 42.9MiB allocated
Algorithm
egg-herbie
Rules
492×unsub-neg
330×associate-*r*
316×distribute-lft-in
272×associate-*l*
242×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042122
199117
2190117
3353117
4632117
51016117
61275117
71572117
82181117
92238117
102263117
112271117
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)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain147.0ms (1.2%)

Memory
-0.9MiB live, 356.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2046(0.999913215637207 0.003920201677829027 9.197227655022289e-7)1(0.9999904036521912 0.010117131285369396 3.1478503359494425e-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-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-u1
00-0-(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.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))sensitivity2097
Confusion
Predicted +Predicted -
+1980
-1147
Precision
0.9473684210526315
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19800
-11740
Precision?
0.9166666666666666
Recall?
1.0
Freqs
test
numberfreq
047
1209
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 10.0ms (28.7% of total)
ival-log: 8.0ms (23% of total)
ival-sin: 6.0ms (17.2% of total)
ival-sqrt: 3.0ms (8.6% of total)
ival-pi: 2.0ms (5.7% of total)
ival-sub: 2.0ms (5.7% of total)
ival-neg: 2.0ms (5.7% of total)
exact: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify7.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB 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)))) (sin.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)))) (sin.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
(sin.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)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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

localize43.0ms (0.3%)

Memory
-1.3MiB live, 79.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy55.1%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
29.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (34.6% of total)
ival-log: 5.0ms (24.7% of total)
ival-sin: 3.0ms (14.8% of total)
ival-sqrt: 2.0ms (9.9% of total)
ival-pi: 1.0ms (4.9% of total)
ival-sub: 1.0ms (4.9% of total)
ival-neg: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.6%)

Memory
1.4MiB live, 78.9MiB 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)))) (sin.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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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
56.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
14.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(sqrt (neg (log (- 1 u1))))

simplify285.0ms (2.3%)

Memory
-7.6MiB live, 461.5MiB allocated
Algorithm
egg-herbie
Rules
9 688×lower-fma.f64
9 688×lower-fma.f32
5 828×lower-*.f64
5 828×lower-*.f32
3 688×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971761
18961482
228701355
370431318
082861266
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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -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 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.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 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(neg.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (sin.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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u1 u1) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(fma.f32 u1 (*.f32 (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 u1)))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sin.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)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (sin.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)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sin.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 (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))))) u1)))) (*.f32 (sin.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))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 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)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sin.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) (sin.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 (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 (sin.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))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1)))) u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (sin.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 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))))) u1))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 4/15 binary32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -8/315 binary32) (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) 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 (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))))) 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)))) (+.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1))) #s(literal -1/6 binary32)) 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)))))
(neg.f32 (+.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 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 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 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 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 (/.f32 #s(literal 1 binary32) u1) (/.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)))

rewrite313.0ms (2.5%)

Memory
-29.6MiB live, 317.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 418×lower-*.f64
3 412×lower-*.f32
2 090×lower-fma.f64
2 090×lower-fma.f32
2 024×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
02233
16533
231933
3233631
0863323
Stop Event
iter limit
node limit
iter limit
Counts
5 → 230
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)))) (sin.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 (neg.f32 (*.f32 u1 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) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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)))
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eval42.0ms (0.3%)

Memory
-6.2MiB live, 79.6MiB allocated
Compiler

Compiled 7 107 to 1 376 computations (80.6% saved)

prune162.0ms (1.3%)

Memory
16.5MiB live, 177.3MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New27130301
Fresh000
Picked011
Done000
Total27131302
Accuracy
99.2%
Counts
302 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.3%
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.4%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.3%
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
86.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.6%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.2%
(*.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 (neg.f32 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.4%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.f32 (sqrt.f32 (neg.f32 (+.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))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.2%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
57.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.4%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.1%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 488 to 1 042 computations (30% saved)

simplify459.0ms (3.7%)

Memory
2.5MiB live, 360.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f32 u1)
cost-diff0
(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff6144
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff64
(neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
cost-diff0
#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))))
cost-diff0
(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)))))
cost-diff0
(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))))))
cost-diff0
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
12 836×lower-fma.f64
12 828×lower-fma.f32
3 194×lower-*.f64
3 172×lower-*.f32
2 114×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050431
090425
1163407
2333388
3558388
41069388
51687388
63061388
74598388
85974388
96583388
107196388
117364388
127386388
137465388
147753388
157926388
08006383
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
(sin.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))) (sin.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
(sin.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 (- 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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))))))
(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)))))
#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))))
(*.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)))
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 #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)
(sin.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 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))
(neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 u1 u1 #s(literal 1 binary32))
(sin.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 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
(log1p.f32 u1)
u1
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sin.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 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.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
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 #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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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)))))))
(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))))))
(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)))))
#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))))
(*.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)))
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 #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)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))
(neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(-.f32 (log1p.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))
(log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))
(neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 u1)
u1
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(log1p.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 u1 u1 #s(literal 1 binary32))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
(log1p.f32 u1)
u1
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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))
(PI.f32)
u2

localize320.0ms (2.6%)

Memory
-7.4MiB live, 467.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.4%
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.4%
(*.f32 (*.f32 u1 u1) (*.f32 u1 u1))
accuracy53.0%
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
accuracy99.1%
(*.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)
accuracy98.8%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy93.9%
#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))))
accuracy99.7%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy3.5%
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy99.7%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Samples
237.0ms256×0valid
Compiler

Compiled 415 to 51 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-mult: 60.0ms (37.5% of total)
ival-log1p: 33.0ms (20.6% of total)
ival-log: 29.0ms (18.1% of total)
ival-add: 6.0ms (3.8% of total)
ival-sqrt: 6.0ms (3.8% of total)
ival-neg: 6.0ms (3.8% of total)
const: 5.0ms (3.1% of total)
ival-pow: 4.0ms (2.5% of total)
ival-sin: 3.0ms (1.9% of total)
ival-sub: 2.0ms (1.3% of total)
ival-pow2: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series126.0ms (1%)

Memory
1.6MiB live, 244.9MiB allocated
Counts
24 → 348
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (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))))))>
#<alt (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)))))>
#<alt #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))))>
#<alt (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))>
#<alt (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))>
#<alt (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))>
#<alt (log1p.f32 u1)>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (*.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 (*.f32 u1 u1) (*.f32 u1 u1))>
Outputs
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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))))))))>
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#<alt (+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (log (/ 1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ 1 u1)) 3)))) (pow u1 3))) (pow (* -1 (log (/ 1 u1))) 1/4))))>
#<alt (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (+ (* 1/4 (* (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4) (/ 1 u1))) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1))) (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow u1 4))>
#<alt (* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* -1/4 (pow u1 4))>
#<alt (* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
#<alt (pow u1 4)>
Calls

87 calls:

TimeVariablePointExpression
54.0ms
u2
@inf
(* (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (sin (* (* 2 (PI)) u2)))
33.0ms
u2
@inf
(* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2)))
6.0ms
u1
@inf
(* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))
4.0ms
u1
@-inf
(* (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (sin (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (sin (* (* 2 (PI)) u2)))

simplify370.0ms (3%)

Memory
12.8MiB live, 647.7MiB allocated
Algorithm
egg-herbie
Rules
11 572×lower-fma.f64
11 572×lower-fma.f32
8 358×lower-*.f64
8 358×lower-*.f32
3 898×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08359290
125887832
089877447
Stop Event
iter limit
node limit
Counts
348 → 343
Calls
Call 1
Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -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))))
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(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
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(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
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(+ (* -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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(+ (sqrt (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))))) (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -3 (log (/ 1 u1))) (+ (log -1) (* -4 (log (/ 1 u1))))))))))))
(sqrt (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1)))))
(+ (sqrt (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))) (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -3 (log (/ -1 u1))) (* -4 (log (/ -1 u1)))))))) u1)))
(sqrt u1)
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(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
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(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (sqrt (log (/ 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (sin (* 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)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 2 (* (* u2 (PI)) (sqrt (log (+ 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (+ 1 u1))))) (* 2 (* (PI) (sqrt (log (+ 1 u1)))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (+ 1 u1)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (+ 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (+ 1 u1)))))))))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(pow (* 1 u1) 1/4)
(+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(pow (* -1 (log (/ 1 u1))) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* -1 (log (/ 1 u1))) 1/4))
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (pow (* -1 (log (/ 1 u1))) 1/4)))
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (log (/ 1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ 1 u1)) 3)))) (pow u1 3))) (pow (* -1 (log (/ 1 u1))) 1/4))))
(pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4) (/ 1 u1))) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1))) (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 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))
(* -1/4 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* -1/4 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
(pow u1 4)
Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sin.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 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(*.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)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.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)))
(* -1/4 (pow u1 4))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (neg.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)))
(* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1/4 (pow u1 4))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (neg.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))

rewrite277.0ms (2.2%)

Memory
-19.3MiB live, 617.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 710×lower-fma.f64
4 702×lower-fma.f32
3 448×lower-/.f64
3 448×lower-/.f32
3 340×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050269
090209
1304205
21974191
08820190
Stop Event
iter limit
node limit
iter limit
Counts
24 → 478
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.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)
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(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))))))
(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)))))
#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))))
(neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
(log1p.f32 u1)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.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 (*.f32 u1 u1) (*.f32 u1 u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (log1p.f32 u1))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (log1p.f32 u1)))) (sqrt.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (log1p.f32 u1)))) (sqrt.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 u1))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (*.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(fma.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32) (*.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3 binary32)) (neg.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32))))) (/.f32 (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)) (neg.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32)) (neg.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (/.f32 (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 2 binary32)) (neg.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
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eval132.0ms (1.1%)

Memory
8.1MiB live, 237.1MiB allocated
Compiler

Compiled 32 805 to 2 771 computations (91.6% saved)

prune162.0ms (1.3%)

Memory
6.2MiB live, 416.9MiB allocated
Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New91435949
Fresh17825
Picked325
Done011
Total93446980
Accuracy
99.6%
Counts
980 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(*.f32 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
67.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
74.9%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.3%
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
92.8%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.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)))) (*.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)))) #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)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.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)))) #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)))) (*.f32 #s(literal 0 binary32) #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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #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))))) (-.f32 #s(literal 0 binary32) (*.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)))) #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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
54.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.4%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.2%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
57.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
93.1%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
90.4%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
86.7%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
81.6%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
88.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (exp.f32 (*.f32 (log.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)))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.4%
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.5%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.4%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
67.9%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
73.7%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
71.0%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
90.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
92.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/4 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))
Compiler

Compiled 2 736 to 1 716 computations (37.3% saved)

simplify315.0ms (2.5%)

Memory
-17.3MiB live, 540.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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)))))
cost-diff0
(pow.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))))) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff6144
(pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (log1p.f32 u1))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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
#s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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
(sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
cost-diff0
(log1p.f32 u1)
cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
16 546×lower-fma.f64
16 534×lower-fma.f32
3 174×lower-*.f64
3 152×lower-*.f32
2 498×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067504
0108501
1210489
2450478
3814478
41620478
52447478
63373478
74911478
86417478
97126478
107406478
117582478
127633478
08026462
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(log1p.f32 u1)
u1
(log1p.f32 (neg.f32 (*.f32 u1 u1)))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 u1)
(sin.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))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
#s(literal 2 binary32)
(*.f32 u2 (PI.f32))
u2
(PI.f32)
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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)
(sin.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (log1p.f32 u1))
(log1p.f32 u1)
u1
(sin.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 (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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.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))))) #s(literal 1/4 binary32))
(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)))))
#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))))
(*.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)))
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 #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)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sin.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 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
u1
(log1p.f32 (neg.f32 (*.f32 u1 u1)))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 (neg.f32 u1))
(*.f32 u1 u1)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
u2
(PI.f32)
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 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 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 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 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 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)
(fma.f32 u1 (*.f32 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)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (log1p.f32 u1))
(log1p.f32 u1)
u1
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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)))))))
(pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(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))))))
(pow.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))))) #s(literal 1/4 binary32))
(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)))))
#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))))
(*.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)))
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 #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)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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))
(PI.f32)
u2

localize240.0ms (1.9%)

Memory
27.0MiB live, 460.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.4%
(pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy93.9%
#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))))
accuracy99.3%
(/.f32 #s(literal 1 binary32) (log1p.f32 u1))
accuracy99.1%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.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)
accuracy98.8%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy93.9%
#s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))
accuracy99.0%
(*.f32 u2 (PI.f32))
accuracy98.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
accuracy86.7%
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy3.5%
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy99.7%
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
accuracy99.0%
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Samples
157.0ms256×0valid
Compiler

Compiled 423 to 65 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-sqrt: 36.0ms (27% of total)
ival-mult: 28.0ms (21% of total)
ival-log1p: 20.0ms (15% of total)
ival-add: 10.0ms (7.5% of total)
ival-log: 8.0ms (6% of total)
const: 7.0ms (5.3% of total)
ival-neg: 5.0ms (3.8% of total)
ival-sub: 4.0ms (3% of total)
ival-pow: 4.0ms (3% of total)
ival-div: 3.0ms (2.3% of total)
ival-sin: 3.0ms (2.3% of total)
ival-pow2: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
14.0MiB live, 87.6MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))>
#<alt (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))>
#<alt (log1p.f32 u1)>
#<alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))>
#<alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 (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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))>
#<alt (/.f32 #s(literal 1 binary32) (log1p.f32 u1))>
#<alt (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))>
#<alt (*.f32 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (pow.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))))) #s(literal 1/4 binary32))>
#<alt (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)))))>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))>
#<alt (*.f32 u2 (PI.f32))>
#<alt (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))>
#<alt #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))))>
Outputs
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
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#<alt (+ (* -1/4 (* (pow (/ -1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (pow u1 2))) (+ (* (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))) (pow u1 3))) (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4))))>
#<alt (pow (* 1 (log (/ -1 u1))) 1/4)>
#<alt (+ (* 1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* 1 (log (/ -1 u1))) 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ -1 u1)) 3)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<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 (* -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)))>
Calls

90 calls:

TimeVariablePointExpression
18.0ms
u2
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
5.0ms
u1
@-inf
(sqrt (/ 1 (log (+ 1 u1))))
2.0ms
u1
@-inf
(+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) u1)
1.0ms
u1
@inf
(sqrt (/ 1 (log (+ 1 u1))))
1.0ms
u1
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))

simplify291.0ms (2.3%)

Memory
-19.5MiB live, 374.5MiB allocated
Algorithm
egg-herbie
Rules
7 296×lower-fma.f64
7 296×lower-fma.f32
5 938×lower-*.f64
5 938×lower-*.f32
5 504×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116310128
137338667
083618258
Stop Event
iter limit
node limit
Counts
360 → 355
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))
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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 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
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(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
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(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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(- (+ (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)))
Outputs
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))))) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))) (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))) #s(literal -1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))) (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/3 binary32))) u1)))) (neg.f32 u1))) (neg.f32 u1)))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))
(*.f32 u2 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))) (*.f32 (*.f32 u2 u2) (fma.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 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))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
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(pow (* 1 (log (/ -1 u1))) 1/4)
(pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32))
(+ (* 1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* 1 (log (/ -1 u1))) 1/4))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))) #s(literal 1/4 binary32)) u1) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32)))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/32 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))) u1) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))) #s(literal 1/4 binary32)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ -1 u1)) 3)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/32 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (fma.f32 #s(literal 1/24 binary32) (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))))) (/.f32 #s(literal -1/384 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))))) u1) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/32 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))))) (neg.f32 u1))) 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 u1 (*.f32 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)))))))
(*.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)))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(neg.f32 (+.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 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) 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) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (fma.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))) (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/4 u1))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/4 u1))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) 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) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (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 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)))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(neg.f32 (+.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))) u1)))

rewrite291.0ms (2.3%)

Memory
20.4MiB live, 378.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 734×lower-*.f64
3 712×lower-*.f32
3 650×lower-/.f64
3 646×lower-/.f32
2 822×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067362
0108346
1412284
22876284
08362271
Stop Event
iter limit
node limit
iter limit
Counts
25 → 415
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(log1p.f32 u1)
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (log1p.f32 u1))
(pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.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))))) #s(literal 1/4 binary32))
(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)))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#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))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (neg.f32 (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (log1p.f32 u1))
(+.f32 (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(+.f32 (*.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 u1 (neg.f32 u1)) (-.f32 (*.f32 u1 (neg.f32 u1)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(pow.f32 (/.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal -1 binary32))
(fma.f32 (log1p.f32 u1) #s(literal 1 binary32) (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(fma.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32) (*.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 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 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(-.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 3 binary32)) (neg.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 2 binary32))))) (/.f32 (pow.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)) (neg.f32 (fma.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 2 binary32))))))
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#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))))

eval140.0ms (1.1%)

Memory
1.1MiB live, 157.5MiB allocated
Compiler

Compiled 25 517 to 2 906 computations (88.6% saved)

prune166.0ms (1.3%)

Memory
18.6MiB live, 329.1MiB allocated
Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New85427881
Fresh201838
Picked235
Done123
Total87750927
Accuracy
99.8%
Counts
927 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
75.4%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
92.7%
(*.f32 (pow.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))))) #s(literal 1/4 binary32)) (*.f32 (pow.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))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.3%
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (/ 1 (log (+ 1 u1)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #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))))) (-.f32 #s(literal 0 binary32) (*.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)))) #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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.8%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.2%
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.2%
(*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
88.8%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
90.4%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
86.7%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
81.6%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
88.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.4%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) #s(approx (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) u1) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1/3 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.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)))) #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)))))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.5%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.4%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
4.4%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
75.3%
(*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
67.9%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
71.0%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
93.0%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))))) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
90.6%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
85.7%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
91.5%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Compiler

Compiled 2 700 to 1 769 computations (34.5% saved)

simplify253.0ms (2%)

Memory
12.0MiB live, 360.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sin.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))))
cost-diff0
(*.f32 u1 u1)
cost-diff0
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
cost-diff3680
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))
cost-diff1280
(/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))
cost-diff0
(*.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
#s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))
cost-diff0
(sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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)))))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
cost-diff96
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
cost-diff0
(-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff6400
(exp.f32 (log.f32 (log1p.f32 u1)))
Rules
14 570×lower-fma.f64
14 552×lower-fma.f32
4 106×lower-+.f64
4 104×lower-+.f32
3 508×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080771
0135755
1256755
2562625
31746614
42871614
55070614
08174600
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(exp.f32 (log.f32 (log1p.f32 u1)))
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
(log1p.f32 (neg.f32 (*.f32 u1 u1)))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 u1)
(sin.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)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(neg.f32 u1)
u1
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
#s(literal 0 binary32)
(sqrt.f32 u1)
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
#s(literal 2 binary32)
(*.f32 u2 (PI.f32))
u2
(PI.f32)
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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)))))
#s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))
(*.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)))
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 #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)
(sin.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 (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))))
(neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))
#s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))
#s(literal 1 binary32)
(/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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))
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)
(*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)
(fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
#s(literal -1 binary32)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 u1 u1)
u1
(*.f32 (sin.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))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
#s(literal 2 binary32)
(*.f32 u2 (PI.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)))
#s(literal 1/4 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(sqrt.f32 u1)
#s(literal 1/6 binary32)
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
(log1p.f32 (neg.f32 (*.f32 u1 u1)))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 u1)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (/.f32 u1 (sqrt.f32 u1))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(neg.f32 u1)
u1
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(literal 0 binary32)
(sqrt.f32 u1)
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
u2
(PI.f32)
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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)))))
(sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))
#s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 (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 (*.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)
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 #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)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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)))))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))))
(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))))))
(neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))
(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)))))
#s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))
#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))))
(/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))
#s(literal 1 binary32)
(/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))
(/.f32 #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))
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)
(*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)
(*.f32 u1 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
#s(literal -1 binary32)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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))) (sqrt.f32 u1))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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))) (sqrt.f32 u1)))
(*.f32 u1 u1)
u1
(*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
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)))
#s(literal 1/4 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(sqrt.f32 u1)
#s(literal 1/6 binary32)
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))

localize269.0ms (2.2%)

Memory
-25.1MiB live, 412.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
accuracy98.8%
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
accuracy98.6%
(*.f32 (sin.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))))
accuracy91.9%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
accuracy99.1%
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy93.9%
#s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))
accuracy99.1%
(*.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)
accuracy98.8%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy93.9%
#s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))
accuracy98.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
accuracy98.5%
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
accuracy86.7%
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy3.5%
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
accuracy99.0%
(-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy94.7%
(exp.f32 (log.f32 (log1p.f32 u1)))
Samples
135.0ms256×0valid
Compiler

Compiled 614 to 71 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 33.0ms (30.4% of total)
const: 17.0ms (15.7% of total)
ival-add: 11.0ms (10.1% of total)
ival-sqrt: 10.0ms (9.2% of total)
ival-div: 7.0ms (6.5% of total)
ival-log1p: 7.0ms (6.5% of total)
ival-sin: 6.0ms (5.5% of total)
ival-log: 6.0ms (5.5% of total)
ival-exp: 3.0ms (2.8% of total)
ival-sub: 3.0ms (2.8% of total)
ival-neg: 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)

series28.0ms (0.2%)

Memory
2.4MiB live, 39.8MiB allocated
Counts
26 → 408
Calls
Call 1
Inputs
#<alt (exp.f32 (log.f32 (log1p.f32 u1)))>
#<alt (*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))>
#<alt (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))>
#<alt (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))>
#<alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))>
#<alt #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))>
#<alt (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))>
#<alt (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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)))))>
#<alt #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))>
#<alt (*.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 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))>
#<alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))))>
#<alt (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))>
#<alt #s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))>
#<alt (*.f32 u1 u1)>
#<alt (*.f32 (sin.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))))>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))>
#<alt #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))>
#<alt (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))>
#<alt (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))>
#<alt (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))>
Outputs
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
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#<alt (* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))>
#<alt (* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
Calls

102 calls:

TimeVariablePointExpression
2.0ms
u2
@inf
(+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
1.0ms
u2
@0
(+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
1.0ms
u1
@-inf
(+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
1.0ms
u2
@-inf
(+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
1.0ms
u1
@0
(+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))

simplify582.0ms (4.7%)

Memory
-142.1MiB live, 450.0MiB allocated
Algorithm
egg-herbie
Rules
13 050×lower-fma.f64
13 050×lower-fma.f32
8 528×lower-*.f64
8 528×lower-*.f32
4 118×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074610479
124198829
084358344
Stop Event
iter limit
node limit
Counts
408 → 404
Calls
Call 1
Inputs
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))
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 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(pow u1 2)
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(* u2 (+ (* 2 (* (PI) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(* u2 (+ (* 2 (* (PI) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 4/15 (* (pow (PI) 5) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
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Outputs
u1
(* u1 (+ 1 (* -1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
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(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(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 u1)))
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(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 u1))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
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(*.f32 u1 u1)
(pow u1 2)
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(* 2 (* u2 (* (PI) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))
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(* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2 (* (PI) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))
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(* u2 (+ (* 2 (* (PI) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
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(* u2 (+ (* 2 (* (PI) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 4/15 (* (pow (PI) 5) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
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(* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
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(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))
(*.f32 u2 (fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (pow (PI) 5))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 4/15 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))

rewrite340.0ms (2.7%)

Memory
-11.8MiB live, 395.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 222×lower-*.f64
4 192×lower-*.f32
3 302×lower-fma.f64
3 284×lower-fma.f32
2 742×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080514
0135463
1473362
23327362
08256342
Stop Event
iter limit
node limit
iter limit
Counts
26 → 551
Calls
Call 1
Inputs
(exp.f32 (log.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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)))))
#s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))
(*.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 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(*.f32 u1 u1)
(*.f32 (sin.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 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
#s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(log1p.f32 u1)
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.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 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 (neg.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 (neg.f32 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 (*.f32 u1 (neg.f32 u1)) (-.f32 (*.f32 u1 (neg.f32 u1)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(log.f32 (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
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(*.f32 u1 (*.f32 (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 (pow.f32 (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 (pow.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u1)
(*.f32 (*.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 (pow.f32 (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)) u1)
(+.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1/6 binary32) (sqrt.f32 u1) #s(literal 0 binary32))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 u1 (sqrt.f32 u1))) u1)
(/.f32 (*.f32 #s(literal 1/6 binary32) (neg.f32 u1)) (neg.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 1/6 binary32)) u1)
(/.f32 (*.f32 (neg.f32 u1) #s(literal 1/6 binary32)) (neg.f32 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 u1 (sqrt.f32 u1)))) (neg.f32 u1))
(/.f32 (neg.f32 (*.f32 #s(literal 1/6 binary32) (neg.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(/.f32 (neg.f32 (*.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 1/6 binary32))) (neg.f32 u1))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) #s(literal 1/6 binary32))) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(+.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(fma.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(fma.f32 (*.f32 (sqrt.f32 u1) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 u1 (sqrt.f32 u1))) u1)
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 u1)) (neg.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 (*.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) u1)
(/.f32 (*.f32 (neg.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 u1 (sqrt.f32 u1)))) (neg.f32 u1))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(/.f32 (neg.f32 (*.f32 (*.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 u1))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))

eval153.0ms (1.2%)

Memory
15.8MiB live, 169.6MiB allocated
Compiler

Compiled 37 175 to 3 413 computations (90.8% saved)

prune352.0ms (2.8%)

Memory
-21.3MiB live, 350.2MiB allocated
Pruning

58 alts after pruning (51 fresh and 7 done)

PrunedKeptTotal
New1 043241 067
Fresh132740
Picked325
Done055
Total1 059581 117
Accuracy
99.9%
Counts
1 117 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
75.4%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
92.7%
(*.f32 (pow.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))))) #s(literal 1/4 binary32)) (*.f32 (pow.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))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
77.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.3%
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (/ 1 (log (+ 1 u1)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
98.3%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.8%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.2%
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
57.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/24 binary32) #s(literal 1/12 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.0%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
90.4%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
86.7%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
81.6%
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
88.4%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.4%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.9%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) #s(approx (* u1 (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1)) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
93.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.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)))) #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)))))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.5%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.4%
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
4.4%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
4.4%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
4.3%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
67.9%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
71.0%
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
93.0%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
90.5%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.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 (*.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) u1)))
90.7%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 u1)) (neg.f32 (sqrt.f32 u1)))))
79.5%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.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)))) #s(approx (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32)))))))
89.4%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) #s(approx (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
90.5%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 1/216 binary32) (/.f32 #s(literal 1/64 binary32) (*.f32 u1 (sqrt.f32 u1))))) (neg.f32 (sqrt.f32 u1)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32) (-.f32 (*.f32 u1 #s(literal 1/36 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 u1)))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32) (-.f32 (*.f32 u1 #s(literal 1/36 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))))) (neg.f32 (sqrt.f32 u1)))))
90.3%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32)) (*.f32 u1 #s(literal 1/36 binary32)))) u1 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) u1)))
30.3%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) #s(literal 3 binary32))) (fma.f32 u1 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))))))
85.7%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
91.5%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
79.7%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
84.6%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.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 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 u1)))))))))
Compiler

Compiled 4 786 to 1 662 computations (65.3% saved)

regimes568.0ms (4.6%)

Memory
10.6MiB live, 405.9MiB allocated
Counts
117 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.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)))) (*.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)))) #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)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.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)))) #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)))) (*.f32 #s(literal 0 binary32) #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))))))))) (sin.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)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.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))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.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)))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.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 (*.f32 u1 u1) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (*.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)))) #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)))))) #s(literal 1/4 binary32))) (sin.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 u1) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.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))))) #s(literal 1/4 binary32)) (*.f32 (pow.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))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32)) (*.f32 u1 #s(literal 1/36 binary32)))) u1 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) u1)))
(*.f32 (sqrt.f32 (neg.f32 (+.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))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.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)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 1/216 binary32) (/.f32 #s(literal 1/64 binary32) (*.f32 u1 (sqrt.f32 u1))))) (neg.f32 (sqrt.f32 u1)) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32) (-.f32 (*.f32 u1 #s(literal 1/36 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 u1)))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32) (-.f32 (*.f32 u1 #s(literal 1/36 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))))) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (fma.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.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 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (*.f32 (sin.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/4 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/6 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))))) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(*.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 (neg.f32 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) #s(literal 3 binary32))) (fma.f32 u1 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

187.0ms
cosTheta_i
58.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
51.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.0ms
u2
45.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
98.4%1cosTheta_i
98.4%1u1
98.4%1u2
98.4%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.4%1(-.f32 #s(literal 1 binary32) u1)
98.4%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes211.0ms (1.7%)

Memory
11.5MiB live, 255.4MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/24 binary32) #s(literal 1/12 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (/ 1 (log (+ 1 u1)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.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 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 u1)))))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) #s(approx (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.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)))) #s(approx (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32)))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #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))))) (-.f32 #s(literal 0 binary32) (*.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)))) #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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Calls

10 calls:

37.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
31.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
29.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
19.0ms
u2
17.0ms
cosTheta_i
Results
AccuracySegmentsBranch
94.1%1cosTheta_i
97.9%2u1
97.8%2u2
94.1%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.9%2(-.f32 #s(literal 1 binary32) u1)
94.1%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes76.0ms (0.6%)

Memory
-14.6MiB live, 145.2MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/24 binary32) #s(literal 1/12 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (/ 1 (log (+ 1 u1)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (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))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.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 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u1 u1)))))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) #s(approx (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (*.f32 u1 u1) (*.f32 (sin.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)))) #s(approx (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32)))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Outputs
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Calls

5 calls:

17.0ms
(-.f32 #s(literal 1 binary32) u1)
15.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
14.0ms
u1
Results
AccuracySegmentsBranch
97.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.9%2(-.f32 #s(literal 1 binary32) u1)
97.9%2u1
97.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes58.0ms (0.5%)

Memory
29.5MiB live, 106.0MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/24 binary32) #s(literal 1/12 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Calls

5 calls:

12.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms
u1
11.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
97.9%2u1
97.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.9%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes84.0ms (0.7%)

Memory
-23.9MiB live, 95.1MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Calls

5 calls:

38.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms
u1
12.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
(-.f32 #s(literal 1 binary32) u1)
9.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
97.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.8%2(-.f32 #s(literal 1 binary32) u1)
97.8%2u1
97.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes164.0ms (1.3%)

Memory
-10.1MiB live, 231.2MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1)))))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1) (* (+ (* (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2))) -1) u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1 binary32)) u1)))))) (sin.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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Calls

10 calls:

38.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
16.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.1%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%1cosTheta_i
93.1%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.9%2u2
96.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
97.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.2%2(-.f32 #s(literal 1 binary32) u1)
97.2%2u1
97.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes77.0ms (0.6%)

Memory
34.9MiB live, 109.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) u1)))) (sin.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 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Calls

5 calls:

40.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
11.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms
u1
8.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
96.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.9%2(-.f32 #s(literal 1 binary32) u1)
96.9%2u1
96.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes114.0ms (0.9%)

Memory
-4.2MiB live, 194.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

28.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
cosTheta_i
10.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
88.4%1cosTheta_i
88.4%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.9%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.0%2u2
96.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
95.6%2u1
95.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.6%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes59.0ms (0.5%)

Memory
-4.8MiB live, 147.9MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

8 calls:

9.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
9.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
91.8%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
91.4%2u1
91.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
91.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
91.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
91.4%2(-.f32 #s(literal 1 binary32) u1)
92.9%2u2
92.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes105.0ms (0.8%)

Memory
-3.9MiB live, 125.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (pow (pow (neg (log (- 1 u1))) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

26.0ms
(-.f32 #s(literal 1 binary32) u1)
24.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
u2
6.0ms
cosTheta_i
6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
89.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
89.9%2(-.f32 #s(literal 1 binary32) u1)
90.0%2u1
89.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
89.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.7%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.7%1cosTheta_i
90.2%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
91.0%2u2
91.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes42.0ms (0.3%)

Memory
3.1MiB live, 123.1MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (sin (* (* 2 (PI)) u2))) #s(approx (+ (* (* u1 u1) (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6)))) (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (PI.f32))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Calls

8 calls:

6.0ms
u1
6.0ms
u2
6.0ms
(-.f32 #s(literal 1 binary32) u1)
5.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
86.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
86.7%1(-.f32 #s(literal 1 binary32) u1)
86.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.7%1u1
86.7%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
86.7%1u2
86.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes49.0ms (0.4%)

Memory
-11.8MiB live, 141.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
Outputs
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Calls

10 calls:

9.0ms
(-.f32 #s(literal 1 binary32) u1)
6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
81.6%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
81.6%1(-.f32 #s(literal 1 binary32) u1)
81.6%1cosTheta_i
81.6%1u2
81.6%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
81.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
81.6%1u1
81.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
81.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes38.0ms (0.3%)

Memory
35.0MiB live, 108.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Calls

10 calls:

6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
(-.f32 #s(literal 1 binary32) u1)
5.0ms
cosTheta_i
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
4.3%1u1
4.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
4.3%1cosTheta_i
4.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.3%1(-.f32 #s(literal 1 binary32) u1)
4.3%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.3%1u2
4.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.3%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes33.0ms (0.3%)

Memory
4.0MiB live, 82.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 u1 (neg.f32 (*.f32 u1 (sqrt.f32 u1)))) u1)) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Calls

10 calls:

8.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
u1
3.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
4.3%1cosTheta_i
4.3%1u2
4.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.3%1(-.f32 #s(literal 1 binary32) u1)
4.3%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.3%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.3%1u1
4.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes27.0ms (0.2%)

Memory
8.3MiB live, 79.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 (/.f32 (sqrt.f32 u1) u1) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Calls

10 calls:

6.0ms
(-.f32 #s(literal 1 binary32) u1)
3.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
4.3%1u2
4.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.3%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.3%1(-.f32 #s(literal 1 binary32) u1)
4.3%1cosTheta_i
4.3%1u1
4.3%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.035955607891082764
0.03706919401884079
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.035955607891082764
0.03706919401884079
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.035955607891082764
0.03706919401884079
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.035955607891082764
0.03706919401884079
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.035955607891082764
0.03706919401884079
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.015596143901348114
0.016648607328534126
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch16.0ms (0.1%)

Memory
-58.5MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
16.0ms
0.0024679608177393675
0.002646810607984662
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0024679608177393675
0.002646810607984662
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
0.1241091638803482
0.15964321792125702
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.1%)

Memory
35.4MiB live, 35.4MiB allocated
Algorithm
egg-herbie
Rules
80×*-commutative_binary32
24×sub-neg_binary32
22×neg-sub0_binary32
22×neg-mul-1_binary32
22×+-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0140732
1193732
2216732
3235731
4243731
5244731
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (*.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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (neg (* (* u1 u1) (* u1 u1))))) (log (* (+ 1 u1) (+ (* u1 u1) 1))))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 8589935/536870912 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))) (*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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)) 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)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.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))))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
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(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sin.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 (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (*.f32 (sin.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 (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 8589935/536870912 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))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 8589935/536870912 binary32)) (*.f32 (sin.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 (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.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 5368709/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))) (*.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (*.f32 #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.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))))))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.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)))))))
(*.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)))))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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)))))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 u1) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (neg.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))

soundness1.5s (12.3%)

Memory
10.3MiB live, 1 391.3MiB allocated
Rules
11 572×lower-fma.f64
11 572×lower-fma.f32
9 688×lower-fma.f64
9 688×lower-fma.f32
8 358×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971761
18961482
228701355
370431318
082861266
08359290
125887832
089877447
067362
0108346
1412284
22876284
08362271
080514
0135463
1473362
23327362
08256342
01333
02233
16533
231933
3233631
0863323
0116310128
137338667
083618258
050269
090209
1304205
21974191
08820190
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 335 to 694 computations (48% saved)

preprocess149.0ms (1.2%)

Memory
7.8MiB live, 240.9MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 482 to 542 computations (63.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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