Beckmann Sample, near normal, slope_y

Time bar (total: 18.0s)

analyze385.0ms (2.1%)

Memory
-2.0MiB live, 624.5MiB 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)

sample2.0s (10.9%)

Memory
67.6MiB live, 3 388.8MiB allocated
Samples
1.5s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 288.0ms (22.5% of total)
ival-sqrt: 232.0ms (18.1% of total)
ival-mult: 175.0ms (13.7% of total)
ival-log: 160.0ms (12.5% of total)
ival-sin: 133.0ms (10.4% of total)
ival-<=: 118.0ms (9.2% of total)
ival-sub: 42.0ms (3.3% of total)
ival-neg: 34.0ms (2.7% of total)
ival-pi: 31.0ms (2.4% of total)
ival-and: 31.0ms (2.4% of total)
ival->: 24.0ms (1.9% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess56.0ms (0.3%)

Memory
-14.5MiB live, 68.6MiB 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)

explain192.0ms (1.1%)

Memory
-64.8MiB live, 219.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2016(0.9999045133590698 0.0047090062871575356 2.4181796121069965e-8)2(0.9999676942825317 0.01569351553916931 0.001895811059512198)(log.f32 (-.f32 #s(literal 1 binary32) u1))
10-1(0.9999632835388184 0.05345220863819122 0.4973802864551544)(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))sensitivity20512
Confusion
Predicted +Predicted -
+1932
-1249
Precision
0.9414634146341463
Recall
0.9897435897435898
Confusion?
Predicted +Predicted MaybePredicted -
+19320
-121138
Precision?
0.8944954128440367
Recall?
1.0
Freqs
test
numberfreq
051
1205
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 9.0ms (23.5% of total)
ival-log: 9.0ms (23.5% of total)
ival-sin: 6.0ms (15.7% of total)
ival-sqrt: 5.0ms (13.1% of total)
ival-sub: 3.0ms (7.8% of total)
ival-neg: 3.0ms (7.8% of total)
ival-pi: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
54.9%
(*.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 31 to 27 computations (12.9% saved)

simplify7.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-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
02298
14098
25398
36198
47198
58498
69798
710098
010090
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
(* (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) u2)
(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
(* (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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize83.0ms (0.5%)

Memory
-4.8MiB live, 114.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
accuracy99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
accuracy98.9%
(*.f32 (PI.f32) u2)
accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy53.0%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
59.0ms256×0valid
Compiler

Compiled 96 to 24 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 24.0ms (50.4% of total)
ival-sin: 6.0ms (12.6% of total)
ival-log: 5.0ms (10.5% of total)
ival-neg: 5.0ms (10.5% of total)
ival-sqrt: 3.0ms (6.3% of total)
ival-log1p: 2.0ms (4.2% of total)
ival-pi: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory
14.6MiB live, 87.8MiB allocated
Counts
12 → 168
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 (* (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 (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* (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 (* (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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 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

42 calls:

TimeVariablePointExpression
28.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
3.0ms
u1
@0
(sqrt (neg (log (- 1 u1))))
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)))

rewrite389.0ms (2.2%)

Memory
11.3MiB live, 449.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 712×*-lowering-*.f32
2 712×*-lowering-*.f64
2 502×accelerator-lowering-fma.f32
2 502×accelerator-lowering-fma.f64
1 824×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02276
18876
248076
3367572
0846556
Stop Event
iter limit
node limit
Counts
12 → 543
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)))
(* (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)))
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
(* (PI) u2)
(sin (* 2 (* (PI) u2)))
Outputs
(log1p.f32 u1)
(neg.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log1p.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 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (log.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)))) (log.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
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(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(+.f32 (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))

simplify1.2s (6.7%)

Memory
-4.0MiB live, 635.0MiB 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
03183754
19713196
231422942
374332914
080112800
Stop Event
iter limit
node limit
Counts
168 → 168
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))))
(* (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 (* 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))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 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 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (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)))) (-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (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)))))))))
(+.f32 (*.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 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (+.f32 (*.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)))))))))))
(+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))) (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)))))))
(+.f32 (*.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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) u1))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.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 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))))
(+ (* -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)))))))))
(+.f32 (*.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 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) u1))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (neg.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (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))))
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(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 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 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.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)))))))
(* 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 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.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))))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* 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) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.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)))))))
(* 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 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.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))))))))))
(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))))

eval123.0ms (0.7%)

Memory
13.9MiB live, 89.3MiB allocated
Compiler

Compiled 16 844 to 1 955 computations (88.4% saved)

prune169.0ms (0.9%)

Memory
12.0MiB live, 324.0MiB allocated
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New67635711
Fresh000
Picked022
Done000
Total67637713
Accuracy
99.6%
Counts
713 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.2%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.9%
(*.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)))
76.1%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
76.0%
(*.f32 (*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
86.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.1%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.7%
(*.f32 (sqrt.f32 (neg.f32 (-.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) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
92.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.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))))))))
94.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.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)))))))))))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
80.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
54.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.1%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.6%
(*.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 2 041 to 1 311 computations (35.8% saved)

simplify1.0s (5.6%)

Memory
-12.9MiB live, 733.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
cost-diff32
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))
cost-diff0
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(log1p.f32 u1)
cost-diff0
(sqrt.f32 (log1p.f32 u1))
cost-diff0
(*.f32 (sqrt.f32 (log1p.f32 u1)) (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)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
Rules
26 478×accelerator-lowering-fma.f32
26 478×accelerator-lowering-fma.f64
3 694×*-lowering-*.f32
3 694×*-lowering-*.f64
2 240×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04325769804034
18825769804028
218425769804025
333425769804025
453625769804025
587925769804025
6149725769804025
7234425769804025
8395825769804025
9484125769804025
10520925769804025
11550125769804025
12567425769804025
13575125769804025
14596025769804025
15672325769804025
16794225769804025
08017280
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(* 2 (sin (* (PI) u2)))
2
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(cos (* (PI) u2))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(sqrt u1)
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (log (+ 1 u1))) (sin (* (* 2 (PI)) u2)))
(sqrt (log (+ 1 u1)))
(log (+ 1 u1))
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))))
(neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))
(- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))
(log (neg (+ (* u1 u1) -1)))
(neg (+ (* u1 u1) -1))
(+ (* u1 u1) -1)
(* u1 u1)
u1
-1
(log (+ 1 u1))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3)))))
(* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3))))
2
(* (pow (PI) 1/3) (* u2 (pow (PI) 2/3)))
(pow (PI) 1/3)
(PI)
1/3
(* u2 (pow (PI) 2/3))
u2
(pow (PI) 2/3)
2/3
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.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
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* (* 2 (PI)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (log (+ 1 u1))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt (log (+ 1 u1)))
(sqrt.f32 (log1p.f32 u1))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* (* 2 (PI)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))
(-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log1p.f32 u1))
(log (neg (+ (* u1 u1) -1)))
(log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(neg (+ (* u1 u1) -1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ (* u1 u1) -1)
(+.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(* u1 u1)
(*.f32 u1 u1)
u1
-1
#s(literal -1 binary32)
(log (+ 1 u1))
(log1p.f32 u1)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* (* 2 (PI)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
(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 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3)))))
(sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))))
(* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
2
#s(literal 2 binary32)
(* (pow (PI) 1/3) (* u2 (pow (PI) 2/3)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(PI)
(PI.f32)
1/3
#s(literal 1/3 binary32)
(* u2 (pow (PI) 2/3))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
u2
(pow (PI) 2/3)
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
2/3
#s(literal 2/3 binary32)

localize254.0ms (1.4%)

Memory
11.6MiB live, 352.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
accuracy99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
accuracy98.3%
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
accuracy96.9%
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
accuracy99.0%
(-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1))
accuracy99.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy31.6%
(log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
accuracy99.6%
(sqrt.f32 (log1p.f32 u1))
accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy100.0%
(PI.f32)
accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.7%
(sin.f32 (*.f32 (PI.f32) u2))
accuracy99.6%
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
accuracy99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
accuracy98.9%
(*.f32 (PI.f32) u2)
Samples
192.0ms256×0valid
Compiler

Compiled 302 to 44 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 40.0ms (39.3% of total)
ival-log: 17.0ms (16.7% of total)
ival-sin: 9.0ms (8.8% of total)
const: 7.0ms (6.9% of total)
ival-sqrt: 6.0ms (5.9% of total)
ival-pow: 5.0ms (4.9% of total)
ival-log1p: 5.0ms (4.9% of total)
ival-neg: 4.0ms (3.9% of total)
ival-cos: 2.0ms (2% of total)
ival-cbrt: 2.0ms (2% of total)
ival-sub: 1.0ms (1% of total)
ival-pi: 1.0ms (1% of total)
ival-add: 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)

series152.0ms (0.8%)

Memory
-15.1MiB live, 138.0MiB allocated
Counts
25 → 336
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (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 (log (+ 1 u1))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (log (+ 1 u1))>
#<alt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))>
#<alt (neg (+ (* u1 u1) -1))>
#<alt (* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3))))))>
#<alt (* (PI) u2)>
#<alt (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))>
#<alt (sin (* (PI) u2))>
#<alt (PI)>
#<alt (log (neg (+ (* u1 u1) -1)))>
#<alt (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))>
#<alt (pow (PI) 2/3)>
#<alt (* u2 (pow (PI) 2/3))>
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3)))>
Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
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#<alt (* u2 (PI))>
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#<alt (sin (* u2 (PI)))>
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#<alt (* -1 u1)>
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#<alt (* u2 (cbrt (pow (PI) 2)))>
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#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
Calls

84 calls:

TimeVariablePointExpression
45.0ms
u1
@0
(log (neg (+ (* u1 u1) -1)))
25.0ms
u2
@inf
(* (sqrt (log (+ 1 u1))) (sin (* (* 2 (PI)) u2)))
21.0ms
u1
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
18.0ms
u2
@inf
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (sin (* (* 2 (PI)) u2)))
8.0ms
u1
@0
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))

rewrite388.0ms (2.2%)

Memory
9.9MiB live, 496.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 140×*-lowering-*.f32
4 140×*-lowering-*.f64
3 848×accelerator-lowering-fma.f32
3 848×accelerator-lowering-fma.f64
2 064×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043176
1170152
21020145
09570116
Stop Event
iter limit
node limit
Counts
25 → 1 081
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (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 (log (+ 1 u1))) (sin (* (* 2 (PI)) u2)))
(sqrt (log (+ 1 u1)))
(log (+ 1 u1))
(neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))
(neg (+ (* u1 u1) -1))
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/3) (* u2 (pow (PI) 2/3))))))
(* (PI) u2)
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(sin (* (PI) u2))
(PI)
(log (neg (+ (* u1 u1) -1)))
(- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))
(pow (PI) 2/3)
(* u2 (pow (PI) 2/3))
(* (pow (PI) 1/3) (* u2 (pow (PI) 2/3)))
Outputs
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (+.f32 (sin.f32 #s(literal 0 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (/.f32 (+.f32 (sin.f32 #s(literal 0 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (/.f32 (+.f32 (sin.f32 #s(literal 0 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (/.f32 (+.f32 (sin.f32 #s(literal 0 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))) #s(literal 2 binary32))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
(/.f32 (hypot.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))
(/.f32 (hypot.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3/2 binary32))) (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))))
(/.f32 (hypot.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(/.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.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)))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1/2 binary32)))
(*.f32 (hypot.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))))
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(neg.f32 (log1p.f32 u1))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32)) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (+.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32))) (log1p.f32 u1))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))
(+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(+.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) #s(literal 0 binary32)) (log1p.f32 u1))
(fma.f32 #s(literal 1 binary32) (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 #s(literal 1 binary32) (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32)))
(fma.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32) (log1p.f32 u1))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32)))
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(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))))) (*.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal -1 binary32)))
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(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
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(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
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(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/18 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))

simplify689.0ms (3.8%)

Memory
9.5MiB live, 719.1MiB allocated
Algorithm
egg-herbie
Rules
7 540×accelerator-lowering-fma.f32
7 540×accelerator-lowering-fma.f64
6 014×*-lowering-*.f32
6 014×*-lowering-*.f64
5 722×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09507354
131016235
277566233
080345926
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
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(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval230.0ms (1.3%)

Memory
-14.4MiB live, 571.1MiB allocated
Compiler

Compiled 66 522 to 6 432 computations (90.3% saved)

prune749.0ms (4.2%)

Memory
1.5MiB live, 706.0MiB allocated
Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New2 349342 383
Fresh21930
Picked325
Done022
Total2 373472 420
Accuracy
99.8%
Counts
2 420 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.4%
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
77.8%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.1%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.0%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u1 (+.f32 (*.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)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.9%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) u2)))
77.9%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
80.6%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
64.9%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
66.4%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
86.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
88.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
88.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
76.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
91.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
80.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)))))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)))))
97.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.5%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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)))))
76.4%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32))) u2)))
77.6%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
78.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
75.9%
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 u1)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
74.1%
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
71.5%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
88.9%
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.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)))))
69.9%
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
Compiler

Compiled 2 129 to 1 590 computations (25.3% saved)

simplify429.0ms (2.4%)

Memory
-12.9MiB live, 697.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
cost-diff0
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
cost-diff32
(neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
cost-diff32
(log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
cost-diff32
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))
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)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff0
(*.f32 u2 (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)) (*.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)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
cost-diff32
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
Rules
13 740×accelerator-lowering-fma.f32
13 740×accelerator-lowering-fma.f64
3 718×*-lowering-*.f32
3 718×*-lowering-*.f64
2 200×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055392
1138391
2322391
3793387
41716387
52331387
63616387
74671387
85623387
96417387
106836387
117044387
127270387
137289387
147403387
08015330
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(log (+ 1 u1))
u1
(log (+ 1 (- 0 (* u1 u1))))
(- 0 (* u1 u1))
0
(* u1 u1)
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
2
(sqrt u1)
u1
(* u2 (PI))
u2
(PI)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))))
u2
(* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))
(PI)
(+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))
2
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(* -4/3 (* u2 u2))
-4/3
(* u2 u2)
(* (PI) (PI))
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (* 2 (* u2 (PI))))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))))
(neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))
(- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))
(log (neg (+ (* u1 u1) -1)))
(neg (+ (* u1 u1) -1))
(+ (* u1 u1) -1)
(* u1 u1)
u1
-1
(log (+ 1 u1))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1))))))
(- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
u1
(+ 1 u1)
1
(log (+ 1 (* u1 (* u1 u1))))
(* u1 (* u1 u1))
(* u1 u1)
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(sin (* 2 (* u2 (PI))))
(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)
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (+ 1 (- 0 (* u1 u1))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(- 0 (* u1 u1))
(*.f32 u1 (neg.f32 u1))
0
#s(literal 0 binary32)
(* u1 u1)
(*.f32 u1 u1)
(* (* 2 (sqrt u1)) (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (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))
(*.f32 u2 (PI.f32))
u2
(PI)
(PI.f32)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 u2 (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 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
(* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))))
(*.f32 (PI.f32) (*.f32 u2 (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))))
u2
(* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))
(*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))))
(PI)
(PI.f32)
(+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))
(+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))
2
#s(literal 2 binary32)
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))
(* -4/3 (* u2 u2))
(*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))
-4/3
#s(literal -4/3 binary32)
(* u2 u2)
(*.f32 u2 u2)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (* 2 (* u2 (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(log (neg (+ (* u1 u1) -1)))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(neg (+ (* u1 u1) -1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ (* u1 u1) -1)
(+.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(* u1 u1)
(*.f32 u1 u1)
u1
-1
#s(literal -1 binary32)
(log (+ 1 u1))
(log1p.f32 u1)
(* 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)
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
(sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(log (+ 1 (* u1 (+ 1 u1))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize179.0ms (1%)

Memory
-1.6MiB live, 477.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1))
accuracy99.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy98.9%
(*.f32 u2 (PI.f32))
accuracy31.6%
(log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
accuracy98.9%
(*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
accuracy98.6%
(*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy100.0%
(sqrt.f32 u1)
accuracy100.0%
(PI.f32)
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
accuracy98.9%
(*.f32 u2 (PI.f32))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy99.0%
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
accuracy99.0%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
accuracy98.9%
(*.f32 u2 (PI.f32))
Samples
103.0ms256×0valid
Compiler

Compiled 375 to 54 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 25.0ms (31.1% of total)
ival-log1p: 12.0ms (14.9% of total)
ival-sqrt: 9.0ms (11.2% of total)
ival-sin: 6.0ms (7.5% of total)
ival-neg: 6.0ms (7.5% of total)
ival-pi: 5.0ms (6.2% of total)
ival-log: 5.0ms (6.2% of total)
ival-sub: 4.0ms (5% of total)
const: 4.0ms (5% of total)
ival-add: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (0.5%)

Memory
10.8MiB live, 168.3MiB allocated
Counts
28 → 372
Calls
Call 1
Inputs
#<alt (- 0 (* u1 u1))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* (* 2 (sqrt u1)) (* u2 (PI)))>
#<alt (* 2 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (* u2 (PI))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))>
#<alt (log (neg (+ (* u1 u1) -1)))>
#<alt (neg (+ (* u1 u1) -1))>
#<alt (* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (* 2 (* u2 (PI))))>
#<alt (* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1))))))>
#<alt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))>
#<alt (log (+ 1 (* u1 (+ 1 u1))))>
#<alt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))>
#<alt (PI)>
#<alt (* (PI) (PI))>
#<alt (* -4/3 (* u2 u2))>
#<alt (* (* -4/3 (* u2 u2)) (* (PI) (PI)))>
#<alt (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 (+ 1 u1))>
Outputs
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* -1 (pow u1 2))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<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 (* 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 (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
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#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -5/6 (* (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 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -5/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -5/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))))>
#<alt (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))>
#<alt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3)))))>
#<alt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))>
#<alt (- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))>
#<alt (* 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 u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
Calls

93 calls:

TimeVariablePointExpression
30.0ms
u2
@inf
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
15.0ms
u2
@0
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (* 2 (* u2 (PI))))
4.0ms
u2
@0
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
3.0ms
u1
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
2.0ms
u1
@-inf
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))

rewrite325.0ms (1.8%)

Memory
7.5MiB live, 762.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 402×*-lowering-*.f32
3 402×*-lowering-*.f64
2 862×/-lowering-/.f32
2 862×/-lowering-/.f64
2 496×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055195
1295175
22240174
09688142
Stop Event
iter limit
node limit
Counts
28 → 1 022
Calls
Call 1
Inputs
(- 0 (* u1 u1))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
(sqrt u1)
(* u2 (PI))
(* (sqrt (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))
(log (neg (+ (* u1 u1) -1)))
(neg (+ (* u1 u1) -1))
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1))))) (* 2 (* u2 (PI))))
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1))))))
(- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))
(log (+ 1 (* u1 (+ 1 u1))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(PI)
(* (PI) (PI))
(* -4/3 (* u2 u2))
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(- (log (neg (+ (* u1 u1) -1))) (log (+ 1 u1)))
(* (* 2 (PI)) u2)
(* u1 (+ 1 u1))
Outputs
(neg.f32 (*.f32 u1 u1))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 2 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) #s(literal 0 binary32))
(pow.f32 u1 #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(pow.f32 (neg.f32 u1) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 2 binary32))
(fma.f32 u1 u1 #s(literal 0 binary32))
(fma.f32 u1 (neg.f32 u1) #s(literal 0 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 0 binary32))
(fma.f32 (neg.f32 u1) u1 #s(literal 0 binary32))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 u1 u1) #s(literal 0 binary32))
(fma.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 0 binary32))
(fma.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 0 binary32))
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 0 binary32)))) (*.f32 u1 u1))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))
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(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 u1 (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) u1)
(fma.f32 u1 u1 u1)
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1))
(fma.f32 u1 (neg.f32 u1) u1)
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) u1)
(fma.f32 (*.f32 u1 u1) #s(literal -1 binary32) u1)
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(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1)
(fma.f32 (neg.f32 u1) u1 u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
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(fma.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) u1)
(fma.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 u1)
(fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) u1)
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (-.f32 u1 (*.f32 u1 u1))))
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(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1)

simplify478.0ms (2.7%)

Memory
0.6MiB live, 1 248.4MiB allocated
Algorithm
egg-herbie
Rules
10 254×accelerator-lowering-fma.f32
10 254×accelerator-lowering-fma.f64
8 756×*-lowering-*.f32
8 756×*-lowering-*.f64
3 938×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08137492
126056512
084246096
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* -1 (pow u1 2))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(* 2 (* u2 (PI)))
(* 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))))
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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))))
(* 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))))
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(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (sqrt u1))
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(* 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)
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(+ (* -1/4 (* (sqrt (pow u1 3)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* (sqrt u1) (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))))
(+ (* (sqrt u1) (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* -1/6 (* (sqrt u1) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))))))
(+ (* (sqrt u1) (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* u2 (* (PI) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))))))))
(* (* u2 (* (PI) (* (sqrt -1) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(+ (* -1/2 (* (/ (* u2 (* (PI) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* u2 (* (PI) (* (sqrt -1) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* u2 (* (PI) (* (sqrt -1) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* 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))))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* u2 (* (PI) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* u2 (* (PI) (* (sqrt -1) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* u2 (* (PI) (* (sqrt -1) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* u2 (* (PI) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* u2 (* (PI) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 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 (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* u2 (* (PI) (* (pow (sqrt -1) 2) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (sqrt (log (/ -1 u1)))))
(* 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 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (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)))))))
(* -4/3 (* (* (pow u2 3) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (pow u2 3) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1)))))))
(* (pow u2 3) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1)))))))
(* (pow u2 3) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1)))))))
(* -4/3 (* (* (pow u2 3) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
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(* u1 (+ 1 (* 1/2 u1)))
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(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(* 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)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
Outputs
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.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)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(+ (* (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)))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (+.f32 (*.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 u1 (+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (*.f32 #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) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1) (*.f32 #s(literal 1/2 binary32) (/.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) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (*.f32 u1 u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1) (*.f32 #s(literal 1/2 binary32) (/.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) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (*.f32 u1 u1))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))))))) (*.f32 u1 (*.f32 u1 u1))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.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)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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(- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ -1 u1)))))
(+.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))
(+.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))
(+.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -5/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1)) (log.f32 #s(literal -1 binary32))) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32)))))))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (/.f32 #s(literal -2/3 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(* -2 (log (/ -1 u1)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (-.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 u1) #s(literal -2 binary32))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(+.f32 (+.f32 (log.f32 u1) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 #s(literal -1 binary32)))) (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))
(+.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (pow u2 2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 (*.f32 u1 (+.f32 (*.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 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) u1))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))

eval160.0ms (0.9%)

Memory
7.6MiB live, 515.9MiB allocated
Compiler

Compiled 51 492 to 4 987 computations (90.3% saved)

prune268.0ms (1.5%)

Memory
-0.3MiB live, 838.5MiB allocated
Pruning

61 alts after pruning (55 fresh and 6 done)

PrunedKeptTotal
New1 662271 689
Fresh102838
Picked325
Done044
Total1 675611 736
Accuracy
99.8%
Counts
1 736 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.4%
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
77.8%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.1%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
94.0%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u1 (+.f32 (*.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)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.9%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) u2)))
77.9%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
66.3%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
66.4%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
4.3%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
73.9%
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
66.3%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
66.4%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
71.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
66.2%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
66.1%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (exp.f32 (log.f32 (PI.f32)))))
66.4%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
85.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
77.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
76.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
86.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
80.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
88.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
75.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
79.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
78.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
88.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (exp.f32 (log.f32 (PI.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
80.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)))))
97.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.5%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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)))))
71.5%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
77.6%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
78.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
75.9%
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 u1)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
71.5%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
88.9%
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
69.9%
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
Compiler

Compiled 2 800 to 2 067 computations (26.2% saved)

simplify439.0ms (2.4%)

Memory
14.7MiB live, 775.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
cost-diff32
(log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
cost-diff32
(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
cost-diff64
(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff3200
(log.f32 (E.f32))
cost-diff0
(pow.f32 u1 #s(literal 1/2 binary32))
cost-diff0
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32))
cost-diff0
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
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)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
Rules
15 924×accelerator-lowering-fma.f32
15 924×accelerator-lowering-fma.f64
2 886×*-lowering-*.f32
2 886×*-lowering-*.f64
2 396×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061464
1165454
2400451
3977451
42646451
54720451
66338451
77304451
87541451
97631451
107636451
117636451
08040390
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))))
(- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))
(log (+ 1 u1))
u1
(log (+ 1 (* (neg u1) u1)))
(* (neg u1) u1)
(neg u1)
(* (* (* 2 (pow u1 1/2)) (PI)) u2)
(* (* 2 (pow u1 1/2)) (PI))
(* 2 (pow u1 1/2))
2
(pow u1 1/2)
u1
1/2
(PI)
u2
(* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))
(* 2 (sqrt u1))
2
(sqrt u1)
u1
(* u2 (* (PI) (log (E))))
u2
(* (PI) (log (E)))
(PI)
(log (E))
(E)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))))))
(neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))
(- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))))
(log (neg (+ (* u1 u1) -1)))
(neg (+ (* u1 u1) -1))
(+ (* u1 u1) -1)
(* u1 u1)
u1
-1
(* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))
(+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))
1
(* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))
(+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))
-1/2
(* u1 (+ 1/3 (* u1 -1/4)))
(+ 1/3 (* u1 -1/4))
1/3
(* u1 -1/4)
-1/4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (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))))
(* 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)
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (+ 1 (* (neg u1) u1)))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(* (neg u1) u1)
(*.f32 u1 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
(* (* (* 2 (pow u1 1/2)) (PI)) u2)
(*.f32 u2 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(* (* 2 (pow u1 1/2)) (PI))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(* 2 (pow u1 1/2))
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
(PI)
(PI.f32)
u2
(* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(* 2 (sqrt u1))
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
u2
(* (PI) (log (E)))
(PI.f32)
(PI)
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))))))
(sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))
(-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))))
(log (neg (+ (* u1 u1) -1)))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(neg (+ (* u1 u1) -1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ (* u1 u1) -1)
(+.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(* u1 u1)
(*.f32 u1 u1)
u1
-1
#s(literal -1 binary32)
(* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))
(*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))
(+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))
(+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))
-1/2
#s(literal -1/2 binary32)
(* u1 (+ 1/3 (* u1 -1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))
(+ 1/3 (* u1 -1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 -1/4)
(*.f32 u1 #s(literal -1/4 binary32))
-1/4
#s(literal -1/4 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize449.0ms (2.5%)

Memory
-148.4MiB live, 408.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))))
accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy31.6%
(log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
accuracy98.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy100.0%
(E.f32)
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
accuracy98.9%
(*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))
accuracy96.9%
(log.f32 (E.f32))
accuracy100.0%
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
accuracy100.0%
(PI.f32)
accuracy99.2%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
accuracy98.8%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32))
accuracy99.4%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
accuracy99.0%
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy99.0%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
accuracy98.9%
(*.f32 u2 (PI.f32))
Samples
124.0ms256×0valid
Compiler

Compiled 464 to 60 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 52.0ms (52.2% of total)
ival-add: 9.0ms (9% of total)
ival-log: 8.0ms (8% of total)
ival-sin: 7.0ms (7% of total)
ival-sqrt: 7.0ms (7% of total)
ival-log1p: 4.0ms (4% of total)
const: 4.0ms (4% of total)
ival-neg: 3.0ms (3% of total)
ival-e: 2.0ms (2% of total)
ival-sub: 2.0ms (2% of total)
ival-pi: 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)

series119.0ms (0.7%)

Memory
3.3MiB live, 158.1MiB allocated
Counts
28 → 348
Calls
Call 1
Inputs
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* (* (* 2 (pow u1 1/2)) (PI)) u2)>
#<alt (* (* 2 (pow u1 1/2)) (PI))>
#<alt (* 2 (pow u1 1/2))>
#<alt (pow u1 1/2)>
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (sqrt u1))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))>
#<alt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))>
#<alt (log (neg (+ (* u1 u1) -1)))>
#<alt (neg (+ (* u1 u1) -1))>
#<alt (* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))) (sin (* (* 2 (PI)) u2)))>
#<alt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))>
#<alt (PI)>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (E)>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
#<alt (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))))>
Outputs
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<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 (* 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)))))>
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#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* 1/3 u1)>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 u1))) u1))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 u1)) u1))) u1))))>
Calls

87 calls:

TimeVariablePointExpression
58.0ms
u1
@0
(* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))
19.0ms
u2
@inf
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))))
16.0ms
u2
@0
(* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))
1.0ms
u2
@0
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))))
1.0ms
u1
@-inf
(* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))

rewrite362.0ms (2%)

Memory
38.0MiB live, 526.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 112×*-lowering-*.f32
4 112×*-lowering-*.f64
3 824×accelerator-lowering-fma.f32
3 824×accelerator-lowering-fma.f64
3 048×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061265
1343250
22628248
08837213
Stop Event
iter limit
node limit
Counts
28 → 608
Calls
Call 1
Inputs
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* (* (* 2 (pow u1 1/2)) (PI)) u2)
(* (* 2 (pow u1 1/2)) (PI))
(* 2 (pow u1 1/2))
(pow u1 1/2)
(log (E))
(* (PI) (log (E)))
(* (* 2 (sqrt u1)) (* u2 (* (PI) (log (E)))))
(* 2 (sqrt u1))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))
(log (neg (+ (* u1 u1) -1)))
(neg (+ (* u1 u1) -1))
(* (sqrt (neg (- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4)))))))))) (sin (* (* 2 (PI)) u2)))
(- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))
(PI)
(* u2 (* (PI) (log (E))))
(E)
(* (* 2 (PI)) u2)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* u1 (+ 1/3 (* u1 1/4)))
(- (log (neg (+ (* u1 u1) -1))) (* u1 (+ 1 (* u1 (+ -1/2 (* u1 (+ 1/3 (* u1 -1/4))))))))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(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))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.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))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) (*.f32 u2 #s(literal 1 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) u2))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 u2 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (PI.f32) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) u2)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) u2) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 2 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 u1) #s(literal 1/4 binary32)) (*.f32 (log.f32 u1) #s(literal 1/4 binary32))))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 u1))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 u1)
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
#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 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.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 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #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)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
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simplify451.0ms (2.5%)

Memory
-17.1MiB live, 627.3MiB allocated
Algorithm
egg-herbie
Rules
9 238×accelerator-lowering-fma.f32
9 238×accelerator-lowering-fma.f64
7 876×*-lowering-*.f32
7 876×*-lowering-*.f64
2 822×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06075298
119334776
262124570
083534283
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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(* 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))))))))
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(* 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))))
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(* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 u1))) u1))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 u1)) u1))) u1))))
Outputs
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.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)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(+ (* (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)))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) u1))) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (*.f32 u1 #s(literal 1/2 binary32))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) u1)))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32))))))) (+.f32 (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) u1) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) #s(literal -1/2 binary32)) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) (*.f32 u1 u1)))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.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)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (*.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)))) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) u1)) u1))
(* 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 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 u2 (*.f32 u2 (+.f32 (*.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))))))))))
(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))))
(* 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 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* 2 (* (sqrt u1) (* u2 (PI))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))
(* 2 (* (sqrt u1) (* u2 (PI))))
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(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.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)))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
(* u1 (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(* 1/4 (pow u1 3))
(*.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))))))
(* 1/4 (pow u1 3))
(*.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1)))
(* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1/3 binary32)) u1)))
(* (pow u1 4) (- (+ 1/4 (/ 1/2 (pow u1 2))) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (- 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 u1))) u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1/3 binary32)) u1)))
(* (pow u1 4) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 u1)) u1))) u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))

eval170.0ms (0.9%)

Memory
-31.8MiB live, 255.7MiB allocated
Compiler

Compiled 34 400 to 3 979 computations (88.4% saved)

prune251.0ms (1.4%)

Memory
40.5MiB live, 471.6MiB allocated
Pruning

72 alts after pruning (64 fresh and 8 done)

PrunedKeptTotal
New1 107271 134
Fresh133750
Picked235
Done156
Total1 123721 195
Accuracy
99.9%
Counts
1 195 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.8%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.1%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.2%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
94.0%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) u1))) (*.f32 (*.f32 (sqrt.f32 u1) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (*.f32 u1 #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.9%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) u2)))
77.9%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
66.3%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
21.7%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.0%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
66.3%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
66.4%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
4.3%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
73.9%
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
18.5%
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.4%
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
66.4%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
71.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
66.2%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
66.4%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
94.4%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
77.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
76.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
88.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.2%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
94.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
78.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
86.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (+.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (exp.f32 (log.f32 (PI.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
80.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
51.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.5%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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)))))
71.5%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
77.6%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
78.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.0%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))))
98.4%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
52.8%
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
88.7%
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
90.9%
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
71.5%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
77.5%
(*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
85.7%
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
88.9%
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
85.4%
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
Compiler

Compiled 4 975 to 2 074 computations (58.3% saved)

regimes390.0ms (2.2%)

Memory
16.8MiB live, 646.1MiB allocated
Counts
125 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u1 (+.f32 (*.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)))))))) (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) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (pow.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 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 u1)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
Calls

10 calls:

60.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
57.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
34.0ms
u1
33.0ms
u2
33.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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)

regimes445.0ms (2.5%)

Memory
-6.1MiB live, 431.9MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (exp.f32 (log.f32 (PI.f32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.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 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.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 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32))) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

10 calls:

179.0ms
(-.f32 #s(literal 1 binary32) u1)
51.0ms
u1
44.0ms
cosTheta_i
25.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
24.0ms
u2
Results
AccuracySegmentsBranch
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(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)
98.4%1cosTheta_i
98.4%1u1
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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes145.0ms (0.8%)

Memory
-3.6MiB live, 275.9MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (exp.f32 (log.f32 (PI.f32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

21.0ms
u1
17.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
16.0ms
cosTheta_i
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
94.6%1cosTheta_i
94.6%1u1
97.9%2u2
94.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.6%1(-.f32 #s(literal 1 binary32) u1)
94.6%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes36.0ms (0.2%)

Memory
1.8MiB live, 76.5MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

15.0ms
u2
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
97.9%2u2
97.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes37.0ms (0.2%)

Memory
0.1MiB live, 79.0MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
u2
Results
AccuracySegmentsBranch
97.8%2u2
97.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes29.0ms (0.2%)

Memory
-4.2MiB live, 73.0MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms
u2
Results
AccuracySegmentsBranch
97.8%2u2
97.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes129.0ms (0.7%)

Memory
21.8MiB live, 178.5MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

34.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms
(-.f32 #s(literal 1 binary32) u1)
11.0ms
cosTheta_i
Results
AccuracySegmentsBranch
96.3%2u1
96.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
92.6%1cosTheta_i
95.8%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.3%2(-.f32 #s(literal 1 binary32) u1)
97.4%2u2
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes30.0ms (0.2%)

Memory
6.0MiB live, 45.6MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.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 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
u2
Results
AccuracySegmentsBranch
96.6%2u2
96.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes134.0ms (0.7%)

Memory
-9.7MiB live, 160.7MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (log1p.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) (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 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

36.0ms
(-.f32 #s(literal 1 binary32) u1)
29.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
cosTheta_i
9.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
88.7%1cosTheta_i
93.5%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.8%2u1
93.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.8%2(-.f32 #s(literal 1 binary32) u1)
95.1%2u2
95.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes85.0ms (0.5%)

Memory
-23.5MiB live, 169.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

13.0ms
u1
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
cosTheta_i
9.0ms
(-.f32 #s(literal 1 binary32) u1)
8.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
85.5%1cosTheta_i
90.5%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
90.4%2u1
90.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
90.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
90.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
90.4%2(-.f32 #s(literal 1 binary32) u1)
91.6%2u2
91.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes34.0ms (0.2%)

Memory
25.9MiB live, 64.4MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

5 calls:

7.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms
cosTheta_i
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
85.5%1cosTheta_i
85.5%1u1
85.5%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
85.5%1u2
85.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes34.0ms (0.2%)

Memory
-5.8MiB live, 74.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

5 calls:

8.0ms
u2
7.0ms
u1
6.0ms
cosTheta_i
6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
84.0%1u2
84.0%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
84.0%1cosTheta_i
84.0%1u1
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes34.0ms (0.2%)

Memory
-6.6MiB live, 65.7MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

5 calls:

9.0ms
u2
8.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
cosTheta_i
5.0ms
u1
Results
AccuracySegmentsBranch
80.9%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
80.9%1cosTheta_i
80.9%1u1
84.3%2u2
84.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes36.0ms (0.2%)

Memory
-10.9MiB live, 70.2MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

5 calls:

7.0ms
u2
5.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
cosTheta_i
5.0ms
u1
Results
AccuracySegmentsBranch
77.5%1cosTheta_i
81.7%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
81.6%2u1
82.0%2u2
82.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes18.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) (+.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 4/3 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.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 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

4 calls:

4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u1
4.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms
u2
Results
AccuracySegmentsBranch
80.4%2u1
80.4%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
80.8%2u2
80.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 25 to 21 computations (16% saved)

regimes32.0ms (0.2%)

Memory
-10.4MiB live, 26.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

5 calls:

18.0ms
cosTheta_i
3.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
u1
3.0ms
u2
Results
AccuracySegmentsBranch
78.0%2u1
78.0%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
73.8%1cosTheta_i
78.4%2u2
78.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes13.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
Calls

4 calls:

3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms
u1
3.0ms
u2
Results
AccuracySegmentsBranch
73.8%1u1
73.8%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
73.8%1u2
73.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 25 to 21 computations (16% saved)

regimes36.0ms (0.2%)

Memory
-19.3MiB live, 18.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
Calls

5 calls:

25.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms
u2
2.0ms
u1
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
66.4%1cosTheta_i
66.4%1u2
66.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
66.4%1u1
66.4%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes7.0ms (0%)

Memory
16.2MiB live, 16.2MiB allocated
Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
Outputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
Calls

3 calls:

2.0ms
u2
2.0ms
u1
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
66.4%1u2
66.4%1cosTheta_i
66.4%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04008036479353905
0.04086904972791672
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04008036479353905
0.04086904972791672
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
0.04008036479353905
0.04086904972791672
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04008036479353905
0.04086904972791672
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04008036479353905
0.04086904972791672
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00095575355226174
0.0010142519604414701
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0015188161050900817
0.0020525420550256968
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18834294378757477
0.22940953075885773
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0015188161050900817
0.0020525420550256968
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005388224963098764
0.005596113856881857
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
0.005388224963098764
0.005596113856881857
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
0.002655421383678913
0.0027877027168869972
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify78.0ms (0.4%)

Memory
-27.8MiB live, 62.5MiB allocated
Algorithm
egg-herbie
Rules
516×distribute-lft-neg-in_binary32
408×unsub-neg_binary32
282×neg-mul-1_binary32
238×neg-sub0_binary32
216×*-commutative_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0135728
1227728
2255728
3303726
4368726
5519726
6739726
71094726
81402726
91601726
101702726
111727726
121729726
131729726
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 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 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 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 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) 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 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 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 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 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 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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 13421773/67108864 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/268435456 binary32)) (*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/268435456 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2899103/1073741824 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
Outputs
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))) #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))))))))) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))) #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)))))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2717909/67108864 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) #s(literal 1 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 8589935/8589934592 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 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 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 8589935/4294967296 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/67108864 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/67108864 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 8589935/4294967296 binary32)) (*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/268435456 binary32)) (*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1476395/268435456 binary32)) (*.f32 u2 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32)))))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/268435456 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 1476395/268435456 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) #s(literal 1 binary32))))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2899103/1073741824 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 2899103/1073741824 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))

soundness3.8s (21%)

Memory
29.7MiB live, 5 639.5MiB allocated
Rules
10 254×accelerator-lowering-fma.f32
10 254×accelerator-lowering-fma.f64
9 834×accelerator-lowering-fma.f32
9 834×accelerator-lowering-fma.f64
9 238×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061265
1343250
22628248
08837213
08137492
126056512
084246096
06075298
119334776
262124570
083534283
09507354
131016235
277566233
080345926
02276
18876
248076
3367572
0846556
03183754
19713196
231422942
374332914
080112800
055195
1295175
22240174
09688142
01313
12513
23713
34613
45413
56613
68013
78813
89113
09112
Stop Event
fuel
iter limit
saturated
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 1 731 to 946 computations (45.3% saved)

preprocess185.0ms (1%)

Memory
-15.2MiB live, 315.7MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 2 098 to 768 computations (63.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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