Beckmann Sample, near normal, slope_y

Time bar (total: 14.6s)

analyze325.0ms (2.2%)

Memory
15.3MiB live, 609.9MiB 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 (15.1%)

Memory
17.2MiB live, 2 831.7MiB allocated
Samples
1.5s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 321.0ms (26.2% of total)
ival-log: 220.0ms (18% of total)
ival-<=: 169.0ms (13.8% of total)
ival-mult: 164.0ms (13.4% of total)
ival-sin: 108.0ms (8.8% of total)
ival-sub: 58.0ms (4.7% of total)
ival-sqrt: 52.0ms (4.2% of total)
ival-neg: 35.0ms (2.9% of total)
ival-and: 32.0ms (2.6% of total)
ival-pi: 29.0ms (2.4% of total)
ival->: 24.0ms (2% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess53.0ms (0.4%)

Memory
9.8MiB live, 47.3MiB 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
042135
199130
2190130
3353130
4632130
51016130
61275130
71572130
82181130
92238130
102263130
112271130
01313
12513
23713
34613
45413
56613
68013
78813
89113
09112
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Call 2
Inputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (sin (* (* 2 (PI)) u1)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(* (sin (* 2 (* (PI) u2))) (sqrt (neg (log (+ 1 u1)))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* u2 (* (PI) -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* u2 (* (PI) -2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2))))
(* (sin (* u2 (* (PI) -2))) (sqrt (neg (log (+ 1 u1)))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (sin (* (* 2 (PI)) u2)))
(* (sin (* 2 (* (PI) u2))) (sqrt (neg (log (- 1 cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (PI) (* 2 cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (sin (* (* 2 (PI)) u1)))
(* (sqrt (neg (log (- 1 u2)))) (sin (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain228.0ms (1.6%)

Memory
0.7MiB live, 238.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2072(0.9999929666519165 0.0062500229105353355 0.00022585039550904185)6(0.9999436736106873 0.014364980161190033 0.3019039034843445)(log.f32 (-.f32 #s(literal 1 binary32) u1))
10-0-(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-u2
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-u1
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (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))sensitivity20311
sin.f32(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))cancellation10
Confusion
Predicted +Predicted -
+1990
-453
Precision
0.9802955665024631
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19900
-41142
Precision?
0.9299065420560748
Recall?
1.0
Freqs
test
numberfreq
053
1202
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
77.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-sin: 28.0ms (47.4% of total)
ival-mult: 9.0ms (15.2% of total)
ival-log: 8.0ms (13.5% of total)
ival-sub: 6.0ms (10.1% of total)
ival-sqrt: 3.0ms (5.1% of total)
ival-pi: 2.0ms (3.4% of total)
ival-neg: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(*.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 16 to 14 computations (12.5% saved)

simplify6.0ms (0%)

Memory
9.4MiB live, 9.4MiB 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×*-lowering-*.f32
40×*-lowering-*.f64
32×+-lowering-+.f64
32×+-lowering-+.f32
24×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
12550
23750
34650
45450
56650
68050
78850
89150
09146
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize52.0ms (0.4%)

Memory
-11.1MiB live, 68.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy54.0%
(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-log: 7.0ms (34.4% of total)
ival-mult: 4.0ms (19.7% of total)
ival-sin: 3.0ms (14.8% of total)
ival-sqrt: 2.0ms (9.8% 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)

series65.0ms (0.4%)

Memory
5.5MiB live, 81.8MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) 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)))>
#<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))))>
Calls

21 calls:

TimeVariablePointExpression
52.0ms
u2
@inf
(* (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)))) (sin (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

rewrite322.0ms (2.2%)

Memory
-34.6MiB live, 508.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 418×*-lowering-*.f32
3 418×*-lowering-*.f64
2 090×accelerator-lowering-fma.f32
2 090×accelerator-lowering-fma.f64
2 024×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
15639
231039
3232937
0859029
Stop Event
iter limit
node limit
Counts
6 → 234
Calls
Call 1
Inputs
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) 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)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(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))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.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 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 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)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (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)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
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(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))

simplify375.0ms (2.6%)

Memory
14.1MiB live, 729.1MiB allocated
Algorithm
egg-herbie
Rules
9 834×accelerator-lowering-fma.f32
9 834×accelerator-lowering-fma.f64
6 112×*-lowering-*.f32
6 112×*-lowering-*.f64
3 744×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03181889
19711610
231421483
374331469
080111412
Stop Event
iter limit
node limit
Counts
84 → 84
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)))
(* 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))))
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 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u1))))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 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) (neg.f32 (log.f32 (neg.f32 u1))))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(neg.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1) (log.f32 (neg.f32 u1))))
(* (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))))
(*.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (*.f32 u1 u1) #s(literal -1 binary32)))))
(+ (* (sqrt u1) (* (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 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.f32 (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(-.f32 (+.f32 (/.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)))
(* 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 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(* 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 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 u2 u2) #s(literal 4/15 binary32)))) (*.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 u2 (*.f32 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 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 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))))

eval34.0ms (0.2%)

Memory
-18.7MiB live, 111.5MiB allocated
Compiler

Compiled 7 342 to 1 399 computations (80.9% saved)

prune112.0ms (0.8%)

Memory
-5.9MiB live, 191.7MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New28731318
Fresh000
Picked011
Done000
Total28732319
Accuracy
99.2%
Counts
319 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(*.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)))
75.1%
(*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.1%
(*.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)))
75.2%
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
93.4%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (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)))
88.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%
(*.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)))
51.6%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (*.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)))
98.4%
(*.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)))
98.1%
(*.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)))
51.9%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.8%
(*.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)))
55.5%
(*.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)))
85.5%
(*.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)))
78.3%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.1%
(*.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)))
Compiler

Compiled 1 892 to 1 172 computations (38.1% saved)

simplify317.0ms (2.2%)

Memory
7.2MiB live, 680.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))
cost-diff64
(neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))
cost-diff160
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
cost-diff0
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
cost-diff0
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
cost-diff0
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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
(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
cost-diff0
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
cost-diff0
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.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
12 518×accelerator-lowering-fma.f32
12 518×accelerator-lowering-fma.f64
3 974×*-lowering-*.f32
3 974×*-lowering-*.f64
2 476×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059697
1163669
2480662
31137646
43435646
56655646
08054581
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(sqrt u1)
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))
u1
(+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)
(+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)
(+ (* u1 -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))))
(neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))
(+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))
(log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))))
(/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))
(+ (* u1 (* u1 u1)) 1)
u1
(* u1 u1)
1
(- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) u1))
(+ (* u1 u1) u1)
(log (+ 1 (neg (+ (* u1 u1) u1))))
(neg (+ (* u1 u1) u1))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))))
(neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))
(- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))
(log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1)))))
(* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))
(+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))))
1
(* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(* (* u1 (* u1 u1)) (* u1 (* u1 u1)))
(/ 1 (+ 1 (+ (* u1 u1) u1)))
(+ 1 (+ (* u1 u1) u1))
(+ (* u1 u1) u1)
(log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))
(* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))
(+ (* u1 (* u1 u1)) 1)
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -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)))
u1
(+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)
(fma.f32 u1 (fma.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 (+ (* u1 -1/4) -1/3)) -1/2)
(fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u1 -1/4) -1/3)
(fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
-1
#s(literal -1 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))))))))
(sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))))
(neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))
(-.f32 (neg.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))))))
(+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))
(/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(+ (* u1 (* u1 u1)) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(* u1 u1)
(*.f32 u1 u1)
1
#s(literal 1 binary32)
(- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
(neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) u1))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(+ (* u1 u1) u1)
(fma.f32 u1 u1 u1)
(log (+ 1 (neg (+ (* u1 u1) u1))))
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(neg (+ (* u1 u1) u1))
(neg.f32 (fma.f32 u1 u1 u1))
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
(sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1)))))
(-.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) u1)))))
(log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1)))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))
(/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))))
(fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(* (* u1 (* u1 u1)) (* u1 (* u1 u1)))
(*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(/ 1 (+ 1 (+ (* u1 u1) u1)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(+ 1 (+ (* u1 u1) u1))
(+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))
(+ (* u1 u1) u1)
(fma.f32 u1 u1 u1)
(log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))
(log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) u1))))
(* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) u1)))
(+ (* u1 (* u1 u1)) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize301.0ms (2.1%)

Memory
8.7MiB live, 682.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy96.7%
(PI.f32)
accuracy54.1%
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
accuracy99.0%
(*.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)))
accuracy98.8%
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy96.7%
(PI.f32)
accuracy30.4%
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
accuracy99.2%
(*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 (fma.f32 u1 (fma.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)))
accuracy96.7%
(PI.f32)
accuracy99.5%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy96.7%
(PI.f32)
accuracy99.5%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy96.7%
(PI.f32)
Samples
102.0ms191×0valid
70.0ms56×1valid
4.0ms0invalid
Compiler

Compiled 758 to 59 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-add: 36.0ms (29.2% of total)
ival-mult: 30.0ms (24.4% of total)
ival-log: 10.0ms (8.1% of total)
ival-sqrt: 9.0ms (7.3% of total)
ival-neg: 8.0ms (6.5% of total)
ival-log1p: 8.0ms (6.5% of total)
const: 5.0ms (4.1% of total)
ival-div: 4.0ms (3.2% of total)
ival-sin: 4.0ms (3.2% of total)
adjust: 3.0ms (2.4% of total)
ival-sub: 3.0ms (2.4% 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)

series146.0ms (1%)

Memory
33.7MiB live, 264.8MiB allocated
Counts
25 → 348
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt u1) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt u1)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))>
#<alt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))>
#<alt (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))>
#<alt (* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))))>
#<alt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))>
#<alt (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))>
#<alt (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))>
#<alt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))>
#<alt (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))))>
#<alt (* (sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))) (sin (* (* 2 (PI)) u2)))>
#<alt (PI)>
#<alt (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))))>
#<alt (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))>
#<alt (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1)))))>
#<alt (/ 1 (+ 1 (+ (* u1 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))))))))>
#<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 (* -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)))))>
#<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)))))>
#<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 (* 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 (* 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 (* (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 (* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (sin (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (sin (* 2 (* u2 (PI)))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* u2 (* (PI) (sqrt -1)))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))))) (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 5) (sqrt -1)))))))))>
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#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
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#<alt 1>
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#<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 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1))))))) (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ 1 u1))) (* -7 (log (/ 1 u1)))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1)))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))) (sqrt (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1)))))))) (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1)))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -6 (log (/ -1 u1))) (+ (log -1) (* -7 (log (/ -1 u1))))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2)))))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2)))))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2)))))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 3 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))>
#<alt (+ (log -1) (log (/ 1 u1)))>
#<alt (- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))>
#<alt (log (/ -1 u1))>
#<alt (- (log (/ -1 u1)) (* 2 (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* 2/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (+ 2/3 (* -1/4 u1))) 1/2)) 1))>
#<alt (* -7 (log (/ 1 u1)))>
#<alt (- (* -7 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -7 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (- (+ (* -7 (log (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3)))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log -1) (* -7 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* -7 (log (/ -1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -7 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (+ (log -1) (+ (* -7 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 u1)) 1/2) u1))) u1))))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- (pow u1 2) 1)))>
#<alt (+ 1 (* u1 (- (* (pow u1 2) (+ 1 (* -1 u1))) 1)))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (/ 1 u1)) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 1 (pow u1 3))) (/ 1 u1)) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 1 (pow u1 3))) (+ (/ 1 u1) (/ 1 (pow u1 4)))) (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (/ 1 u1)) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow u1 2))) u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u1 3))) (/ 1 (pow u1 2))) u1))) (pow u1 2))>
Calls

87 calls:

TimeVariablePointExpression
41.0ms
u2
@inf
(* (sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))) (sin (* (* 2 (PI)) u2)))
35.0ms
u2
@inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (sin (* (* 2 (PI)) u2)))
22.0ms
u2
@0
(* (sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))) (sin (* (* 2 (PI)) u2)))
9.0ms
u2
@inf
(* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))) (sin (* (* 2 (PI)) u2)))
5.0ms
u1
@inf
(+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))

rewrite344.0ms (2.4%)

Memory
-6.9MiB live, 512.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 162×*-lowering-*.f32
4 162×*-lowering-*.f64
3 634×accelerator-lowering-fma.f32
3 634×accelerator-lowering-fma.f64
2 050×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059287
1352273
23092257
09418207
Stop Event
iter limit
node limit
Counts
25 → 609
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(sqrt u1)
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* (sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(neg (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))))
(neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))
(+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))
(* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))
(neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))
(+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))))
(* (sqrt (neg (- (log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1))))) (log (+ 1 (* (* u1 (* u1 u1)) (+ (* u1 (* u1 u1)) 1))))))) (sin (* (* 2 (PI)) u2)))
(PI)
(log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))))
(* (+ (* u1 u1) u1) (+ (* u1 u1) u1))
(log (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (/ 1 (+ 1 (+ (* u1 u1) u1)))))
(/ 1 (+ 1 (+ (* u1 u1) u1)))
Outputs
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(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 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
(/.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (sqrt.f32 (log.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (sqrt.f32 (log.f32 (/.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))))
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(*.f32 (/.f32 #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))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 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))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))

simplify457.0ms (3.1%)

Memory
9.8MiB live, 891.1MiB allocated
Algorithm
egg-herbie
Rules
12 780×accelerator-lowering-fma.f32
12 780×accelerator-lowering-fma.f64
8 870×*-lowering-*.f32
8 870×*-lowering-*.f64
4 874×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09648296
130587105
087936717
Stop Event
iter limit
node limit
Counts
348 → 348
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)))
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(* (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))))
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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)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
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(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
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(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(* 2 (* (sqrt u1) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))
(* 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))))))))
(* 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)))))))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
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(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(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)))
(* 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))))
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(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(* (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)))))))))))
(* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (sin (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (sin (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (sin (* 2 (* u2 (PI)))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* u2 (* (PI) (sqrt -1)))))
(* u2 (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))))) (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1))))))
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(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (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))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* 1/2 (pow u1 2))
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(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 7/18 (* 20/27 (/ 1 u1))) u1)) 1/3) 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)))))))
(* 1/4 (pow u1 4))
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* -1/4 (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)))))
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u1
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1
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(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2)))))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* (pow u1 3) (+ 1 (pow u1 3))))) (log (/ (+ 1 (pow u1 9)) (+ 1 (+ u1 (pow u1 2))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 3 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(+ (log -1) (log (/ 1 u1)))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(log (/ -1 u1))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* 2/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (+ 2/3 (* -1/4 u1))) 1/2)) 1))
(* -7 (log (/ 1 u1)))
(- (* -7 (log (/ 1 u1))) (/ 1 u1))
(+ (* -7 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(- (+ (* -7 (log (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3)))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log -1) (* -7 (log (/ -1 u1))))
(- (+ (log -1) (* -7 (log (/ -1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -7 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+ (log -1) (+ (* -7 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 u1)) 1/2) u1))) u1))))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (pow u1 2) 1)))
(+ 1 (* u1 (- (* (pow u1 2) (+ 1 (* -1 u1))) 1)))
(/ 1 (pow u1 2))
(/ (- 1 (/ 1 u1)) (pow u1 2))
(/ (- (+ 1 (/ 1 (pow u1 3))) (/ 1 u1)) (pow u1 2))
(/ (- (+ 1 (/ 1 (pow u1 3))) (+ (/ 1 u1) (/ 1 (pow u1 4)))) (pow u1 2))
(/ 1 (pow u1 2))
(/ (- 1 (/ 1 u1)) (pow u1 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow u1 2))) u1))) (pow u1 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u1 3))) (/ 1 (pow u1 2))) u1))) (pow u1 2))
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 (sqrt.f32 u1) (*.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))) #s(literal -1/2 binary32)) (*.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 (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))))))))
(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 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))) (*.f32 (*.f32 (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)))))))) (+ (* -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 #s(literal -1/2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))) (*.f32 (*.f32 (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))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (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) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1)))) 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)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (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) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) (neg.f32 u1)))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* 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))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.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))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 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))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
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(fma.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* (pow u1 2) (+ 1 (* -1 u1))) 1)))
(fma.f32 u1 (fma.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (- 1 (/ 1 u1)) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1))
(/ (- (+ 1 (/ 1 (pow u1 3))) (/ 1 u1)) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (*.f32 u1 u1))
(/ (- (+ 1 (/ 1 (pow u1 3))) (+ (/ 1 u1) (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (- 1 (/ 1 u1)) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow u1 2))) u1))) (pow u1 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1)) (*.f32 u1 u1))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u1 3))) (/ 1 (pow u1 2))) u1))) (pow u1 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) u1)) (*.f32 u1 u1))

eval184.0ms (1.3%)

Memory
16.8MiB live, 240.7MiB allocated
Compiler

Compiled 48 457 to 4 490 computations (90.7% saved)

prune183.0ms (1.3%)

Memory
-30.1MiB live, 380.8MiB allocated
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New1 217241 241
Fresh151126
Picked235
Done011
Total1 234391 273
Accuracy
99.7%
Counts
1 273 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(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 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
93.2%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 (fma.f32 u1 (fma.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 #s(literal 0 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)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (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)))
85.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u1 u1)) #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)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.8%
(*.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)))
72.1%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.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)))
55.5%
(*.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)))
81.1%
(*.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 u1 u1)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.4%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
84.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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)))))
93.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
91.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
93.3%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
80.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.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)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
71.1%
(*.f32 (sqrt.f32 u1) (*.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)))))
65.6%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
76.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
77.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.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))) (sqrt.f32 u1)))
91.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.1%
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
Compiler

Compiled 2 139 to 1 370 computations (36% saved)

simplify425.0ms (2.9%)

Memory
37.0MiB live, 577.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff32
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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-diff96
(+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 u1 (fma.f32 u1 (fma.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-diff896
(*.f32 #s(literal 0 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))))
cost-diff1152
(sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 u1 (fma.f32 u1 (fma.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
(fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))
cost-diff0
(*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
cost-diff0
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
cost-diff0
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
cost-diff64
(neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))
cost-diff0
(*.f32 u2 (PI.f32))
cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff160
(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff3200
(log.f32 (E.f32))
Rules
15 646×accelerator-lowering-fma.f32
15 646×accelerator-lowering-fma.f64
3 834×*-lowering-*.f32
3 834×*-lowering-*.f64
3 254×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068696
1197644
2606593
32337593
44264593
57789589
08406525
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (* (PI) (log (E)))) u2)
(* 2 (* (PI) (log (E))))
2
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
(* (sqrt u1) (* 2 (* u2 (PI))))
(sqrt u1)
u1
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(* (sqrt (neg (* u1 (+ (* u1 -1/2) -1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (* u1 (+ (* u1 -1/2) -1))))
(neg (* u1 (+ (* u1 -1/2) -1)))
(* u1 (+ (* u1 -1/2) -1))
u1
(+ (* u1 -1/2) -1)
-1/2
-1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))))
(sqrt u1)
u1
(* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3))))))
u2
(+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))
2
(PI)
(* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3))))
(* u2 u2)
(+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))
(* u2 (* 4/15 (pow (PI) 5)))
(* 4/15 (pow (PI) 5))
4/15
(pow (PI) 5)
5
(* (PI) (* (* (PI) (PI)) -4/3))
(* (* (PI) (PI)) -4/3)
(* (PI) (PI))
-4/3
(* (/ (sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))) (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))) (sin (* (* 2 (PI)) u2)))
(/ (sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))) (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))))
(sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))
(- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))
0
(* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))
u1
(+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)
(+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)
(+ (* u1 -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))
(+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))
(+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (* (PI) (log (E)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (* (PI) (log (E))))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(* (PI) (log (E)))
(PI.f32)
(PI)
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
u2
(* (sqrt u1) (* 2 (* u2 (PI))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(sqrt u1)
(sqrt.f32 u1)
u1
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* u2 (PI))
(*.f32 (PI.f32) u2)
u2
(PI)
(PI.f32)
(* (sqrt (neg (* u1 (+ (* u1 -1/2) -1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (* u1 (+ (* u1 -1/2) -1))))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(neg (* u1 (+ (* u1 -1/2) -1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ (* u1 -1/2) -1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
u1
(+ (* u1 -1/2) -1)
(fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))
-1/2
#s(literal -1/2 binary32)
-1
#s(literal -1 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))) (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 u2 (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
u1
(* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3))))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))) (*.f32 #s(literal 2 binary32) (PI.f32))))
u2
(+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))) (*.f32 #s(literal 2 binary32) (PI.f32)))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3))))
(*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))
(* u2 u2)
(*.f32 u2 u2)
(+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))
(fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))
(* u2 (* 4/15 (pow (PI) 5)))
(*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))
(* 4/15 (pow (PI) 5))
(*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))
4/15
#s(literal 4/15 binary32)
(pow (PI) 5)
(pow.f32 (PI.f32) #s(literal 5 binary32))
5
#s(literal 5 binary32)
(* (PI) (* (* (PI) (PI)) -4/3))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32)))
(* (* (PI) (PI)) -4/3)
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
-4/3
#s(literal -4/3 binary32)
(* (/ (sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))) (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))) (sin (* (* 2 (PI)) u2)))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (*.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 u1 (*.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 u1 (fma.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 u1)))))))) (fabs.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(/ (sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))) (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))))
(/.f32 (sqrt.f32 (neg.f32 (*.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 u1 (*.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 u1 (fma.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 u1))))))) (fabs.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))
(sqrt.f32 (neg.f32 (*.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 u1 (*.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 u1 (fma.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 u1)))))))
(- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))
(neg.f32 (*.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 u1 (*.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 u1 (fma.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 u1))))))
0
#s(literal 0 binary32)
(* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(*.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 u1 (*.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 u1 (fma.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 u1)))))
(* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -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)))
u1
(+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)
(fma.f32 u1 (fma.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 (+ (* u1 -1/4) -1/3)) -1/2)
(fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u1 -1/4) -1/3)
(fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
-1
#s(literal -1 binary32)
(* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(*.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 u1 (fma.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 u1)))
(sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))
(fabs.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))
(*.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 u1 (fma.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 u1)))
(+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(*.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 u1 (fma.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 u1)))
(* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
#s(literal 0 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize276.0ms (1.9%)

Memory
6.8MiB live, 480.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 (fma.f32 u1 (fma.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 #s(literal 0 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)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.7%
(fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
accuracy98.7%
(*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
accuracy96.9%
(pow.f32 (PI.f32) #s(literal 5 binary32))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy96.9%
(*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))
accuracy99.5%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.2%
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
accuracy100.0%
(sqrt.f32 u1)
accuracy100.0%
(PI.f32)
accuracy99.0%
(*.f32 u2 (PI.f32))
accuracy98.8%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy99.5%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
accuracy96.9%
(log.f32 (E.f32))
Samples
149.0ms256×0valid
Compiler

Compiled 812 to 69 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 41.0ms (41.5% of total)
ival-add: 11.0ms (11.1% of total)
const: 10.0ms (10.1% of total)
ival-sin: 8.0ms (8.1% of total)
ival-sqrt: 8.0ms (8.1% of total)
ival-log: 4.0ms (4.1% of total)
ival-div: 3.0ms (3% of total)
ival-log1p: 3.0ms (3% of total)
ival-neg: 3.0ms (3% of total)
ival-e: 2.0ms (2% of total)
ival-pow: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.5%)

Memory
0.4MiB live, 149.8MiB allocated
Counts
30 → 348
Calls
Call 1
Inputs
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (* (sqrt u1) (* 2 (* u2 (PI))))>
#<alt (sqrt u1)>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (neg (* u1 (+ (* u1 -1/2) -1)))>
#<alt (* (sqrt (neg (* u1 (+ (* u1 -1/2) -1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (* u1 (+ (* u1 -1/2) -1))))>
#<alt (* u1 (+ (* u1 -1/2) -1))>
#<alt (* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3))))))>
#<alt (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))>
#<alt (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))>
#<alt (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))>
#<alt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))>
#<alt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))>
#<alt (* (* 2 (* (PI) (log (E)))) u2)>
#<alt (sin (* (* 2 (* (PI) (log (E)))) u2))>
#<alt (PI)>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* 4/15 (pow (PI) 5))>
#<alt (* (PI) (PI))>
#<alt (pow (PI) 5)>
#<alt (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))>
#<alt (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))>
#<alt (* (/ (sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))) (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))) (sin (* (* 2 (PI)) u2)))>
Outputs
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))))>
#<alt (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 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) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (* (log (E)) (sqrt -1)))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1)))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (* (pow (log (E)) 7) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (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 (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<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 (* 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 (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 u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
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#<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 (* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* (pow u1 2) (sqrt -1/4)))) (+ (* -1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* (pow u1 2) (sqrt -1/4)))) (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1 (* 1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* (pow u1 3) (sqrt -1/4)))) (+ (* -1/6 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* 1/2 (* (pow u1 2) (sin (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (sin (* 2 (* u2 (PI)))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (sin (* 2 (* u2 (PI)))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))>
#<alt (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* u2 (* (PI) (sqrt -1)))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))))) (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 5) (sqrt -1)))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 5) (sqrt -1))))))))))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
Calls

87 calls:

TimeVariablePointExpression
23.0ms
u2
@0
(* (* 2 (* (PI) (log (E)))) u2)
7.0ms
u1
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
6.0ms
u1
@0
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))))
2.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
1.0ms
u1
@-inf
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))))

rewrite497.0ms (3.4%)

Memory
-1.1MiB live, 763.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 080×*-lowering-*.f32
5 080×*-lowering-*.f64
4 902×accelerator-lowering-fma.f32
4 902×accelerator-lowering-fma.f64
2 828×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068337
1375301
23061298
09825268
Stop Event
iter limit
node limit
Counts
30 → 1 005
Calls
Call 1
Inputs
(log (E))
(* (PI) (log (E)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(* (sqrt u1) (* 2 (* u2 (PI))))
(sqrt u1)
(* 2 (* u2 (PI)))
(* u2 (PI))
(neg (* u1 (+ (* u1 -1/2) -1)))
(* (sqrt (neg (* u1 (+ (* u1 -1/2) -1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (* u1 (+ (* u1 -1/2) -1))))
(* u1 (+ (* u1 -1/2) -1))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))))
(* u2 (+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3))))))
(+ (* 2 (PI)) (* (* u2 u2) (+ (* u2 (* u2 (* 4/15 (pow (PI) 5)))) (* (PI) (* (* (PI) (PI)) -4/3)))))
(sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))
(* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))
(- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))
(* (* 2 (* (PI) (log (E)))) u2)
(sin (* (* 2 (* (PI) (log (E)))) u2))
(PI)
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
(* 4/15 (pow (PI) 5))
(* (PI) (PI))
(pow (PI) 5)
(* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))
(+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))
(* (/ (sqrt (- 0 (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)))))) (sqrt (+ 0 (+ (* (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))) (* 0 (* u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1))))))) (sin (* (* 2 (PI)) u2)))
Outputs
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32))))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) u2) (sqrt.f32 u1)))
(*.f32 u2 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 (PI.f32) u2) (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) #s(literal 2 binary32))) u2)
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(sqrt.f32 u1)
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) u2))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 (*.f32 u1 #s(literal -1/2 binary32)) (neg.f32 u1)))
(+.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u1 u1))) (neg.f32 (neg.f32 u1)))
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(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (neg.f32 (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (neg.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
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(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 #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)))))

simplify378.0ms (2.6%)

Memory
-4.9MiB live, 695.6MiB allocated
Algorithm
egg-herbie
Rules
6 636×accelerator-lowering-fma.f32
6 636×accelerator-lowering-fma.f64
6 476×*-lowering-*.f32
6 476×*-lowering-*.f64
3 570×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07756324
125415738
260865688
081015401
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))))
(* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (* (log (E)) (sqrt -1)))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1)))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (* (pow (log (E)) 7) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
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(+ (* -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)))))
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(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(* 2 (* (sqrt u1) (* u2 (PI))))
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(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(sqrt u1)
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
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u1
(* u1 (+ 1 (* 1/2 u1)))
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(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 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))))
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(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* -1/128 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 4)))))))))
(* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))
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(* 2 (* (sqrt (* u1 (- (* -1/2 u1) 1))) (* u2 (* (PI) (sqrt -1)))))
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0
0
0
0
0
0
0
0
0
0
(pow u1 2)
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(* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 5) (sqrt -1)))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 5) (sqrt -1))))))))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) (neg.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 u1) (neg.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))
(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) (neg.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.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 (*.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) (neg.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.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))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (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) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (fma.f32 (*.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))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(*.f32 (neg.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) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1)) (*.f32 (neg.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) (log (E)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 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) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1))) u1) (*.f32 (neg.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) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 1/3 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1))) u1) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (neg.f32 u1)))
(* 2 (* (* u2 (* (PI) (* (log (E)) (sqrt -1)))) (sqrt (log (- 1 u1)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1)))) (sqrt (log (- 1 u1)))))))))
(*.f32 u2 (fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (* (pow (log (E)) 7) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -8/315 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 #s(literal 4/15 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (*.f32 (*.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)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) #s(literal -7/18 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/3 binary32))) (neg.f32 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (sin (* 2 (* u2 (PI))))) (* 20/27 (/ (sin (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (sin (* 2 (* u2 (PI)))))) u1)) (* 1/2 (sin (* 2 (* u2 (PI)))))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/3 binary32) (/.f32 (fma.f32 #s(literal 20/27 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 7/18 binary32))) (neg.f32 u1))) (neg.f32 u1))))
(* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* u2 (* (PI) (sqrt -1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(* u2 (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))))) (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1))))))
(*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 5) (sqrt -1)))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (PI) (sqrt -1)))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 3) (sqrt -1)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))))) (* 4/15 (* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (pow (PI) 5) (sqrt -1))))))))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal -8/315 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))

eval403.0ms (2.8%)

Memory
-0.0MiB live, 555.2MiB allocated
Compiler

Compiled 103 586 to 6 771 computations (93.5% saved)

prune536.0ms (3.7%)

Memory
-5.0MiB live, 548.1MiB allocated
Pruning

66 alts after pruning (59 fresh and 7 done)

PrunedKeptTotal
New1 725361 761
Fresh72330
Picked235
Done044
Total1 734661 800
Accuracy
99.8%
Counts
1 800 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
72.3%
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
93.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
93.1%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
92.8%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
72.5%
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
65.5%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
93.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.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 u1 (fma.f32 u1 (fma.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)))
48.6%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (-.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 8 binary32)) (*.f32 (*.f32 u1 (*.f32 (*.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 u1 (fma.f32 u1 (fma.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 (*.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 u1 (fma.f32 u1 (fma.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 0 binary32))) (pow.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 6 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 8 binary32))) (*.f32 u1 (*.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 u1 (fma.f32 u1 (fma.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)))
93.3%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/6 binary32) #s(literal 11/12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.3%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 u1 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) 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)))))
93.0%
(*.f32 (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (/.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)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
65.6%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
65.7%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
93.3%
(*.f32 (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
92.8%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 #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)))))
93.4%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (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)))
85.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.9%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.8%
(*.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)))
72.1%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.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)))
81.1%
(*.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 u1 u1)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.4%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
84.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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)))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
91.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
93.3%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.9%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 u2 (fma.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)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
80.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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)))))
87.9%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #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)))))
73.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
80.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.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)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
71.1%
(*.f32 (sqrt.f32 u1) (*.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)))))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
71.1%
(*.f32 (sqrt.f32 u1) (*.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)))))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
65.4%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))
65.6%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
76.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
77.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.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))) (sqrt.f32 u1)))
71.1%
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
71.1%
(*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
Compiler

Compiled 4 310 to 2 474 computations (42.6% saved)

simplify520.0ms (3.6%)

Memory
-18.1MiB live, 351.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff160
(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff3200
(log.f32 (E.f32))
cost-diff0
(*.f32 u2 (PI.f32))
cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
cost-diff0
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
cost-diff0
(*.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)))
cost-diff0
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
cost-diff160
(fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))
cost-diff480
(fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))
cost-diff800
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2)
cost-diff0
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
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 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
Rules
10 160×*-lowering-*.f32
10 160×*-lowering-*.f64
9 702×accelerator-lowering-fma.f32
9 702×accelerator-lowering-fma.f64
6 774×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05821474836851
114621474836819
235821474836785
3134721474836771
4207721474836765
5237821474836765
6263321474836765
7294621474836765
8309021474836765
9309021474836765
10318721474836765
11318721474836765
12318721474836765
09087326
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI))))
(* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))
(* (* 2 u2) (pow (PI) 2/3))
(* 2 u2)
2
u2
(pow (PI) 2/3)
(PI)
2/3
(cbrt (PI))
(* (* (* 2 (sqrt u1)) u2) (PI))
(* (* 2 (sqrt u1)) u2)
(* 2 (sqrt u1))
2
(sqrt u1)
u1
u2
(PI)
(* (+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))))) (* u2 (sqrt u1)))
(+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))))))
(PI)
2
(* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))))
u2
(* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))))
(+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))
(* (PI) (* (PI) -4/3))
(* (PI) -4/3)
-4/3
(* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))
(* u2 (* u2 4/15))
(* u2 4/15)
4/15
(* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))
(* (* (PI) (PI)) (sqrt (PI)))
(* (PI) (PI))
(sqrt (PI))
(* u2 (sqrt u1))
(sqrt u1)
u1
(* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1)))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))
1/4
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
u1
(* u1 u1)
(sqrt u1)
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (* (PI) (log (E)))) u2)
(* 2 (* (PI) (log (E))))
2
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI))))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))))
(* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32))))
(* (* 2 u2) (pow (PI) 2/3))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
2
#s(literal 2 binary32)
u2
(pow (PI) 2/3)
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
(PI)
(PI.f32)
2/3
#s(literal 2/3 binary32)
(cbrt (PI))
(cbrt.f32 (PI.f32))
(* (* (* 2 (sqrt u1)) u2) (PI))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (*.f32 (PI.f32) (sqrt.f32 u1)))
(* (* 2 (sqrt u1)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))
(* 2 (sqrt u1))
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
2
#s(literal 2 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
u2
(PI)
(PI.f32)
(* (+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))))) (* u2 (sqrt u1)))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32)))) #s(literal -4/3 binary32))) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))))))
(*.f32 (PI.f32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32)))) #s(literal -4/3 binary32))) #s(literal 2 binary32)))
(PI)
(PI.f32)
2
#s(literal 2 binary32)
(* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))))
(*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32)))) #s(literal -4/3 binary32)))
u2
(* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32)))) #s(literal -4/3 binary32)))
(+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32)))) #s(literal -4/3 binary32)))
(* (PI) (* (PI) -4/3))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32)))
(* (PI) -4/3)
(*.f32 (PI.f32) #s(literal -4/3 binary32))
-4/3
#s(literal -4/3 binary32)
(* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))
(*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(* u2 (* u2 4/15))
(*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32)))
(* u2 4/15)
(*.f32 u2 #s(literal 4/15 binary32))
4/15
#s(literal 4/15 binary32)
(* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (* (PI) (PI)) (sqrt (PI)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(sqrt (PI))
(sqrt.f32 (PI.f32))
(* u2 (sqrt u1))
(*.f32 u2 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1)))
(*.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)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
2
#s(literal 2 binary32)
(* u2 (PI))
(*.f32 u2 (PI.f32))
u2
(PI)
(PI.f32)
(+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
1/4
#s(literal 1/4 binary32)
(sqrt (* u1 (* u1 u1)))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(sqrt u1)
(sqrt.f32 u1)
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* (* 2 (* (PI) (log (E)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* (PI) (log (E))))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(* (PI) (log (E)))
(PI.f32)
(PI)
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
u2

localize257.0ms (1.8%)

Memory
28.4MiB live, 348.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy98.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
accuracy96.9%
(log.f32 (E.f32))
accuracy99.5%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy99.2%
(*.f32 u1 (*.f32 u1 u1))
accuracy99.0%
(*.f32 u2 (PI.f32))
accuracy98.8%
(*.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)))
accuracy97.9%
(*.f32 u2 #s(literal 4/15 binary32))
accuracy96.9%
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32)))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy100.0%
(sqrt.f32 u1)
accuracy100.0%
(PI.f32)
accuracy99.2%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2)
accuracy98.9%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
accuracy99.0%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
accuracy98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
accuracy98.4%
(*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
accuracy96.9%
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
Samples
128.0ms256×0valid
Compiler

Compiled 434 to 60 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 50.0ms (50.1% of total)
const: 12.0ms (12% of total)
ival-sin: 9.0ms (9% of total)
ival-sqrt: 7.0ms (7% of total)
ival-pow: 5.0ms (5% of total)
ival-add: 3.0ms (3% of total)
ival-log: 3.0ms (3% of total)
ival-e: 2.0ms (2% of total)
ival-cbrt: 2.0ms (2% of total)
ival-log1p: 2.0ms (2% of total)
ival-neg: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-fabs: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (0.5%)

Memory
-16.9MiB live, 59.2MiB allocated
Counts
29 → 336
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (* (* 2 (sqrt u1)) u2) (PI))>
#<alt (* (* 2 (sqrt u1)) u2)>
#<alt (* 2 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))>
#<alt (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))>
#<alt (+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))))))>
#<alt (* (+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))))) (* u2 (sqrt u1)))>
#<alt (* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1)))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))>
#<alt (pow (PI) 2/3)>
#<alt (* (* 2 u2) (pow (PI) 2/3))>
#<alt (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))>
#<alt (PI)>
#<alt (* (PI) (PI))>
#<alt (* (PI) (* (PI) -4/3))>
#<alt (* u2 4/15)>
#<alt (* u1 (* u1 u1))>
#<alt (* (* 2 (* (PI) (log (E)))) u2)>
#<alt (sin (* (* 2 (* (PI) (log (E)))) u2))>
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)))>
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#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<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 (* 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 (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 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (sqrt u1) (* u2 (* (PI) (log (E))))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3))))) (* 2 (* (sqrt u1) (* (PI) (log (E)))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (* (PI) (log (E))))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5)))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (* (PI) (log (E))))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (* (pow (PI) 3) (pow (log (E)) 3)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7))))) (* 4/15 (* (sqrt u1) (* (pow (PI) 5) (pow (log (E)) 5))))))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<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 (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (* 4/15 u2)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 2 (* (PI) (log (E))))))>
#<alt (* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7)))) (* 4/15 (* (pow (PI) 5) (pow (log (E)) 5)))))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
Calls

84 calls:

TimeVariablePointExpression
27.0ms
u2
@0
(* (* 2 (sqrt u1)) u2)
17.0ms
u2
@inf
(* u2 4/15)
7.0ms
u1
@0
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
3.0ms
u2
@0
(* (* 2 u2) (pow (PI) 2/3))
1.0ms
u1
@-inf
(* (* 2 (sqrt u1)) u2)

rewrite577.0ms (4%)

Memory
-9.8MiB live, 709.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 668×accelerator-lowering-fma.f32
12 668×accelerator-lowering-fma.f64
5 752×*-lowering-*.f32
5 752×*-lowering-*.f64
2 456×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058229
1242208
21544200
08704184
Stop Event
iter limit
node limit
Counts
29 → 596
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (* (* 2 (sqrt u1)) u2) (PI))
(* (* 2 (sqrt u1)) u2)
(* 2 (sqrt u1))
(sqrt u1)
(* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))
(+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))
(+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI)))))))))
(* (+ (* (PI) 2) (* u2 (* u2 (+ (* (PI) (* (PI) (* (PI) -4/3))) (* (* u2 (* u2 4/15)) (* (* (* (PI) (PI)) (sqrt (PI))) (* (* (PI) (PI)) (sqrt (PI))))))))) (* u2 (sqrt u1)))
(* (sin (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1)))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* u2 (PI))
(log (E))
(* (PI) (log (E)))
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(pow (PI) 2/3)
(* (* 2 u2) (pow (PI) 2/3))
(* (* (* 2 u2) (pow (PI) 2/3)) (cbrt (PI)))
(PI)
(* (PI) (PI))
(* (PI) (* (PI) -4/3))
(* u2 4/15)
(* u1 (* u1 u1))
(* (* 2 (* (PI) (log (E)))) u2)
(sin (* (* 2 (* (PI) (log (E)))) u2))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(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 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(*.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 (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))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1)))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1)))
(log1p.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)))
(log1p.f32 (*.f32 u1 #s(literal 1 binary32)))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (fma.f32 u1 u1 u1)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (fma.f32 u1 u1 u1)))) (+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)))
(*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1)))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (sqrt.f32 u1)))
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(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))))
(*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal -4/3 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal -4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 u2 #s(literal 4/15 binary32))
(*.f32 #s(literal 4/15 binary32) u2)
(neg.f32 (*.f32 u1 (*.f32 u1 u1)))
(exp.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)))
(exp.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))
(+.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))
(+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (*.f32 u1 (sqrt.f32 u1))))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 6 binary32))
(pow.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u1)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 u1) (sqrt.f32 u1)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 u1))) #s(literal 3 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (fma.f32 u1 u1 #s(literal 0 binary32)) #s(literal 3 binary32)))
(/.f32 (pow.f32 (*.f32 u1 (neg.f32 u1)) #s(literal 3 binary32)) (*.f32 u1 (*.f32 u1 u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)) (*.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 (*.f32 u1 u1)))
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(*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
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(*.f32 (*.f32 u1 (sqrt.f32 u1)) (*.f32 u1 (sqrt.f32 u1)))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
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(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u1)) (*.f32 (sqrt.f32 u1) (neg.f32 u1)))
(*.f32 (*.f32 (neg.f32 u1) (sqrt.f32 u1)) (*.f32 (neg.f32 u1) (sqrt.f32 u1)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
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(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 u2 (PI.f32)))) (cos.f32 (*.f32 u2 (PI.f32))))

simplify586.0ms (4%)

Memory
26.9MiB live, 854.2MiB allocated
Algorithm
egg-herbie
Rules
13 886×accelerator-lowering-fma.f32
13 886×accelerator-lowering-fma.f64
7 514×*-lowering-*.f32
7 514×*-lowering-*.f64
3 984×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05054767
116394369
256884171
081664006
Stop Event
iter limit
node limit
Counts
336 → 336
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))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 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)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -2 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (* (sqrt u1) u2))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* 2 (sqrt u1))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -2 (* (sqrt u1) (pow (sqrt -1) 2)))
(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)))
(* -4/3 (pow (PI) 3))
(+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))
(+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))
(+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))
(* 4/15 (* (pow u2 2) (pow (PI) 5)))
(* (pow u2 2) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* (pow u2 2) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* (pow u2 2) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* 4/15 (* (pow u2 2) (pow (PI) 5)))
(* (pow u2 2) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* (pow u2 2) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* (pow u2 2) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* 2 (PI))
(+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI)))
(+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))
(+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))
(* 4/15 (* (pow u2 4) (pow (PI) 5)))
(* (pow u2 4) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* (pow u2 4) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (+ (* 4/15 (pow (PI) 5)) (* 2 (/ (PI) (pow u2 4))))))
(* (pow u2 4) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (+ (* 4/15 (pow (PI) 5)) (* 2 (/ (PI) (pow u2 4))))))
(* 4/15 (* (pow u2 4) (pow (PI) 5)))
(* (pow u2 4) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (* 4/15 (pow (PI) 5))))
(* (pow u2 4) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (+ (* 4/15 (pow (PI) 5)) (* 2 (/ (PI) (pow u2 4))))))
(* (pow u2 4) (+ (* -4/3 (/ (pow (PI) 3) (pow u2 2))) (+ (* 4/15 (pow (PI) 5)) (* 2 (/ (PI) (pow u2 4))))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))
(* 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))))))))
(* 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))))))))
(* 4/15 (* (sqrt u1) (* (pow u2 5) (pow (PI) 5))))
(* (pow u2 5) (+ (* -4/3 (* (sqrt u1) (/ (pow (PI) 3) (pow u2 2)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))
(* (pow u2 5) (+ (* -4/3 (* (sqrt u1) (/ (pow (PI) 3) (pow u2 2)))) (+ (* 4/15 (* (sqrt u1) (pow (PI) 5))) (* 2 (* (sqrt u1) (/ (PI) (pow u2 4)))))))
(* (pow u2 5) (+ (* -4/3 (* (sqrt u1) (/ (pow (PI) 3) (pow u2 2)))) (+ (* 4/15 (* (sqrt u1) (pow (PI) 5))) (* 2 (* (sqrt u1) (/ (PI) (pow u2 4)))))))
(* 4/15 (* (sqrt u1) (* (pow u2 5) (pow (PI) 5))))
(* -1 (* (pow u2 5) (+ (* -4/15 (* (sqrt u1) (pow (PI) 5))) (* 4/3 (* (sqrt u1) (/ (pow (PI) 3) (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -2 (* (sqrt u1) (/ (PI) (pow u2 4)))) (+ (* -4/15 (* (sqrt u1) (pow (PI) 5))) (* 4/3 (* (sqrt u1) (/ (pow (PI) 3) (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -2 (* (sqrt u1) (/ (PI) (pow u2 4)))) (+ (* -4/15 (* (sqrt u1) (pow (PI) 5))) (* 4/3 (* (sqrt u1) (/ (pow (PI) 3) (pow u2 2))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* (sqrt u1) (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5))))))))))
(* 2 (* u2 (* (PI) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))))
(* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 2 (* (PI) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))))
(* u2 (+ (* 2 (* (PI) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))))))))
(* u2 (+ (* 2 (* (PI) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 4/15 (* (pow (PI) 5) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))))))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sin (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))))
(* 1/4 (* (sqrt (pow u1 3)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(* 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))))
(* 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 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(* 2 (* (sqrt u1) (* u2 (* (PI) (log (E))))))
(* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3))))) (* 2 (* (sqrt u1) (* (PI) (log (E)))))))
(* u2 (+ (* 2 (* (sqrt u1) (* (PI) (log (E))))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5)))))))))
(* u2 (+ (* 2 (* (sqrt u1) (* (PI) (log (E))))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (* (pow (PI) 3) (pow (log (E)) 3)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7))))) (* 4/15 (* (sqrt u1) (* (pow (PI) 5) (pow (log (E)) 5))))))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 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)))
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(* 4/15 u2)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 2 (* (PI) (log (E))))))
(* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5))))))))
(* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7)))) (* 4/15 (* (pow (PI) 5) (pow (log (E)) 5)))))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
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))))
(*.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/6 binary32) #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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (neg.f32 (sqrt.f32 u1)) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.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)) #s(literal -1/6 binary32))))))
(* (* (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 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (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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(* 4/15 u2)
(*.f32 u2 #s(literal 4/15 binary32))
(* 4/15 u2)
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(pow u1 3)
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eval241.0ms (1.7%)

Memory
-1.2MiB live, 548.5MiB allocated
Compiler

Compiled 56 086 to 6 818 computations (87.8% saved)

prune312.0ms (2.1%)

Memory
2.0MiB live, 956.9MiB allocated
Pruning

73 alts after pruning (64 fresh and 9 done)

PrunedKeptTotal
New1 608301 638
Fresh203454
Picked325
Done077
Total1 631731 704
Accuracy
99.8%
Counts
1 704 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
72.4%
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
72.3%
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
88.1%
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))
87.9%
(/.f32 (*.f32 (fma.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))) (*.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) u1) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))))
93.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
72.3%
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
93.1%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
88.1%
(/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1))))
88.0%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)) (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
87.7%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) u1) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))) (*.f32 (fma.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))) (*.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
88.2%
(*.f32 (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
72.5%
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
72.5%
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
72.5%
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
71.3%
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
93.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.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 u1 (fma.f32 u1 (fma.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)))
93.3%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/6 binary32) #s(literal 11/12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.3%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 u1 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
88.0%
(*.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
65.7%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
65.6%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
65.6%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
65.6%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
65.7%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
93.3%
(*.f32 (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
71.2%
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
72.3%
(*.f32 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
80.4%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
73.3%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
93.4%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (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)))
85.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.8%
(*.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)))
72.1%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.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)))
81.1%
(*.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 u1 u1)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.4%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
84.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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)))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
91.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
93.3%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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)))))
73.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
80.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.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)))
51.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
72.3%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
71.1%
(*.f32 (sqrt.f32 u1) (*.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)))))
71.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
65.6%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
77.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
87.8%
(*.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))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
86.4%
(*.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))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))))
71.1%
(*.f32 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
80.4%
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
71.1%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 5 768 to 1 951 computations (66.2% saved)

regimes455.0ms (3.1%)

Memory
-3.2MiB live, 776.4MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (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 (*.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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (log1p.f32 (neg.f32 u1)))) (*.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 (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1))))
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(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (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 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 8 binary32))) (*.f32 u1 (*.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 u1 (fma.f32 u1 (fma.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)))) (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.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 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 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)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.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 (-.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 8 binary32)) (*.f32 (*.f32 u1 (*.f32 (*.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 u1 (fma.f32 u1 (fma.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 (*.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 u1 (fma.f32 u1 (fma.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 0 binary32))) (pow.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 6 binary32))))) (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 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 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (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)))
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:

142.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
36.0ms
u1
34.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
33.0ms
(-.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)

regimes240.0ms (1.6%)

Memory
14.1MiB live, 409.1MiB allocated
Counts
79 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (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 (*.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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (log1p.f32 (neg.f32 u1)))) (*.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 (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 u2 (fma.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)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.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 u1 (*.f32 u1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)) (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u1 u1)) #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)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))) (*.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) u1) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))))
(*.f32 (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) 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 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (*.f32 u1 (fma.f32 u1 (fma.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 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 #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 (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (/.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)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32) u1) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))) (*.f32 (fma.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))) (*.f32 u1 (sqrt.f32 u1))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (*.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

36.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
30.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
24.0ms
cosTheta_i
23.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
22.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
93.4%1cosTheta_i
96.6%2u1
97.3%2u2
96.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.6%2(-.f32 #s(literal 1 binary32) u1)
93.4%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
93.4%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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes37.0ms (0.3%)

Memory
-10.0MiB live, 65.3MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (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 (*.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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (log1p.f32 (neg.f32 u1)))) (*.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)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (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)))
Calls

2 calls:

18.0ms
u2
17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
97.3%2u2
97.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes115.0ms (0.8%)

Memory
25.9MiB live, 184.2MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (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 (*.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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

7 calls:

20.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
17.0ms
u1
17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms
u2
Results
AccuracySegmentsBranch
93.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.4%1(-.f32 #s(literal 1 binary32) u1)
93.4%1u1
93.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.6%2u2
96.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes170.0ms (1.2%)

Memory
-20.7MiB live, 216.7MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (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 (*.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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (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)))
Calls

10 calls:

38.0ms
u1
21.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
91.6%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)))
94.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.9%2(-.f32 #s(literal 1 binary32) u1)
91.6%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
91.6%1cosTheta_i
94.9%2u1
94.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.0%2u2
96.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes93.0ms (0.6%)

Memory
6.5MiB live, 162.9MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (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 (*.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 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (*.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)))
Calls

7 calls:

15.0ms
u1
14.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms
u2
12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
93.3%2u1
93.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.3%2(-.f32 #s(literal 1 binary32) u1)
94.9%2u2
94.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes28.0ms (0.2%)

Memory
10.8MiB live, 48.1MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

14.0ms
u2
12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
94.9%2u2
94.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes126.0ms (0.9%)

Memory
-14.7MiB live, 227.3MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 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 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

18.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
13.0ms
u1
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
cosTheta_i
12.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
88.7%2u1
88.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
88.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
88.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
88.7%2(-.f32 #s(literal 1 binary32) u1)
88.4%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
88.2%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)))
84.7%1cosTheta_i
91.4%2u2
91.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes26.0ms (0.2%)

Memory
6.7MiB live, 46.6MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

14.0ms
u2
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
90.5%2u2
90.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes102.0ms (0.7%)

Memory
5.2MiB live, 200.0MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 u2 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (PI.f32)) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 u2 u2)) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal 2 binary32) (PI.f32) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) #s(literal 4/15 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))))))) u2)
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2))))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))) (*.f32 u2 (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) u2))) u2 (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 u2 u2)) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 4/15 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4/3 binary32))))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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

9 calls:

14.0ms
u1
13.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
u2
11.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
84.7%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)))
84.7%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.7%1u1
84.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
84.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
84.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
84.7%1(-.f32 #s(literal 1 binary32) u1)
84.7%1u2
84.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes62.0ms (0.4%)

Memory
14.9MiB live, 134.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
Calls

10 calls:

7.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms
cosTheta_i
7.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
6.0ms
u2
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
80.4%1u1
83.7%2u2
80.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
80.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
80.4%1cosTheta_i
80.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
80.4%1(-.f32 #s(literal 1 binary32) u1)
80.4%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
80.4%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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes13.0ms (0.1%)

Memory
-7.9MiB live, 30.8MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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 u2 (fma.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32))))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 u2 (*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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)))))
Calls

2 calls:

7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
u2
Results
AccuracySegmentsBranch
83.7%2u2
83.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes47.0ms (0.3%)

Memory
14.4MiB live, 92.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) u2) (PI.f32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1)))
Calls

10 calls:

6.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
u2
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
u1
Results
AccuracySegmentsBranch
80.9%2u1
80.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
80.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
76.8%1cosTheta_i
80.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
80.9%2(-.f32 #s(literal 1 binary32) u1)
76.8%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)))
81.0%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
81.7%2u2
81.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes38.0ms (0.3%)

Memory
-41.8MiB live, 12.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.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 u1) (*.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
Calls

2 calls:

33.0ms
u2
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
81.7%2u2
81.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes49.0ms (0.3%)

Memory
2.8MiB live, 40.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1)))
Calls

10 calls:

23.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
u2
3.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms
u1
Results
AccuracySegmentsBranch
73.0%1cosTheta_i
73.0%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)))
77.1%2u1
77.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
77.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
77.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
77.1%2(-.f32 #s(literal 1 binary32) u1)
77.2%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
78.0%2u2
78.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes6.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Calls

2 calls:

3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
u2
Results
AccuracySegmentsBranch
78.0%2u2
78.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes5.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Calls

2 calls:

3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
u2
Results
AccuracySegmentsBranch
77.9%2u2
77.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes21.0ms (0.1%)

Memory
4.9MiB live, 42.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
Calls

9 calls:

4.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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)))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
u1
Results
AccuracySegmentsBranch
73.0%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)))
73.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
73.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
73.0%1u1
73.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
73.0%1(-.f32 #s(literal 1 binary32) u1)
73.0%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
73.0%1u2
73.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes20.0ms (0.1%)

Memory
4.6MiB live, 42.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
Outputs
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
Calls

10 calls:

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)))
2.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(-.f32 #s(literal 1 binary32) u1)
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
65.7%1u2
65.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
65.7%1cosTheta_i
65.7%1u1
65.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
65.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
65.7%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
65.7%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)))
65.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
65.7%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes16.0ms (0.1%)

Memory
-4.5MiB live, 34.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

4.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
1.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms
(-.f32 #s(literal 1 binary32) u1)
1.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
65.6%1cosTheta_i
65.6%1u1
65.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
65.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
65.6%1u2
65.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
65.6%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)))
65.6%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
65.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
65.6%1(-.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
0.08632414042949677
0.09123008698225021
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08632414042949677
0.09123008698225021
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0028387485072016716
0.0037289501633495092
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0028387485072016716
0.0037289501633495092
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0028387485072016716
0.0037289501633495092
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0028387485072016716
0.0037289501633495092
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007677133195102215
0.008162902668118477
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.13905546069145203
0.17095907032489777
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
0.0019601189997047186
0.002324603032320738
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
0.0019601189997047186
0.002324603032320738
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007677133195102215
0.008162902668118477
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007677133195102215
0.008162902668118477
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007677133195102215
0.008162902668118477
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007677133195102215
0.008162902668118477
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007677133195102215
0.008162902668118477
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.1%)

Memory
-6.2MiB live, 30.4MiB allocated
Algorithm
egg-herbie
Rules
100×*-commutative_binary32
12×neg-sub0_binary32
12×neg-mul-1_binary32
12×sub-neg_binary32
12×+-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115708
1175708
2193708
3200708
4201708
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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (*.f32 (sqrt.f32 (neg.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)))) (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 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (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))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (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))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (*.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))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (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 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (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 (*.f32 u1 (fma.f32 u1 (fma.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 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 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (sqrt.f32 u1) (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (*.f32 (sqrt.f32 (neg.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)))) (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 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (*.f32 (sqrt.f32 (neg.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)))) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (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))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (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))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (*.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))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (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 6442451/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (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 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 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 (*.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 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.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 (*.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 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.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))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/1073741824 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(*.f32 (PI.f32) (*.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))

soundness1.9s (12.8%)

Memory
-87.8MiB live, 1 443.2MiB allocated
Rules
13 886×accelerator-lowering-fma.f32
13 886×accelerator-lowering-fma.f64
12 780×accelerator-lowering-fma.f32
12 780×accelerator-lowering-fma.f64
9 834×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05054767
116394369
256884171
081664006
09648296
130587105
087936717
03181889
19711610
231421483
374331469
080111412
01339
15639
231039
3232937
0859029
059287
1352273
23092257
09418207
068337
1375301
23061298
09825268
07756324
125415738
260865688
081015401
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 711 to 933 computations (45.5% saved)

preprocess154.0ms (1.1%)

Memory
-7.3MiB live, 309.3MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 754 to 518 computations (70.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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