Beckmann Sample, near normal, slope_x

Time bar (total: 13.6s)

analyze270.0ms (2%)

Memory
-6.6MiB live, 831.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.7s (12.3%)

Memory
43.7MiB live, 2 958.9MiB allocated
Samples
1.3s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
const: 252.0ms (24.5% of total)
ival-log: 175.0ms (17% of total)
ival-mult: 163.0ms (15.8% of total)
ival-cos: 98.0ms (9.5% of total)
ival-<=: 94.0ms (9.1% of total)
ival-sqrt: 53.0ms (5.1% of total)
ival-sub: 52.0ms (5.1% of total)
ival-pi: 39.0ms (3.8% of total)
ival-neg: 38.0ms (3.7% of total)
ival-and: 31.0ms (3% of total)
ival->: 23.0ms (2.2% of total)
exact: 9.0ms (0.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess64.0ms (0.5%)

Memory
-1.5MiB live, 35.5MiB allocated
Algorithm
egg-herbie
Rules
340×associate-*r*
254×distribute-lft-in
228×associate-*l*
184×distribute-rgt-in
158×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042135
199133
2186133
3324133
4515133
5747133
6912133
71252133
81367133
91553133
101562133
111566133
121566133
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)))) (cos (* (* 2 (PI)) u2)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Call 2
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log (+ 1 u1)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* 2 (* (PI) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log (- 1 u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log (+ 1 u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 u1)))) (neg (cos (* 2 (* (PI) u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log (- 1 cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(abs u2)

explain177.0ms (1.3%)

Memory
7.3MiB live, 162.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2043(0.9999474883079529 0.00807613879442215 0.000202970186364837)4(0.9999628663063049 0.011982038617134094 0.0008974057855084538)(log.f32 (-.f32 #s(literal 1 binary32) u1))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-u2
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1 binary32)
00-0-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-u1
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u1))sensitivity20317
Confusion
Predicted +Predicted -
+1971
-652
Precision
0.9704433497536946
Recall
0.9949494949494949
Confusion?
Predicted +Predicted MaybePredicted -
+19710
-61735
Precision?
0.8959276018099548
Recall?
1.0
Freqs
test
numberfreq
053
1203
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 9.0ms (26.8% of total)
ival-log: 9.0ms (26.8% of total)
ival-cos: 5.0ms (14.9% of total)
ival-sqrt: 3.0ms (8.9% of total)
ival-pi: 2.0ms (6% of total)
ival-sub: 2.0ms (6% of total)
ival-neg: 2.0ms (6% of total)
exact: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify6.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
32×+-lowering-+.f64
32×+-lowering-+.f32
24×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize70.0ms (0.5%)

Memory
5.6MiB live, 42.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy51.8%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
25.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 4.0ms (24.2% of total)
ival-log: 4.0ms (24.2% of total)
ival-cos: 3.0ms (18.1% of total)
ival-sqrt: 2.0ms (12.1% of total)
ival-pi: 1.0ms (6% of total)
ival-sub: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.6%)

Memory
-18.0MiB live, 56.9MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 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) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
Calls

21 calls:

TimeVariablePointExpression
50.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite376.0ms (2.8%)

Memory
8.3MiB live, 334.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 444×*-lowering-*.f32
3 444×*-lowering-*.f64
2 098×accelerator-lowering-fma.f32
2 098×accelerator-lowering-fma.f64
2 048×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
15639
231139
3233337
0863629
Stop Event
iter limit
node limit
Counts
6 → 242
Calls
Call 1
Inputs
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
Outputs
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.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))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.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 #s(literal 0 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (*.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)) (-.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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 (*.f32 u1 u1))))) (log.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.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)))) (log.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.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))))
(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 #s(literal 0 binary32) (*.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 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))))))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 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 u1 (*.f32 u1 u1))))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))) (log.f32 #s(literal -1 binary32)))
(-.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) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.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))))) (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.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 u1 (+.f32 #s(literal 1 binary32) 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 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 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))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.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)))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (+.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)))))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
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(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (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 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))))))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 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) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.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 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (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)))
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify563.0ms (4.1%)

Memory
-9.9MiB live, 487.6MiB allocated
Algorithm
egg-herbie
Rules
9 722×accelerator-lowering-fma.f32
9 722×accelerator-lowering-fma.f64
5 844×*-lowering-*.f32
5 844×*-lowering-*.f64
3 726×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061849
19111570
229181447
371351410
083881352
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.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 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1)))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (neg.f32 u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(+.f32 (log.f32 (neg.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1))) (*.f32 (cos.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) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))) (sqrt.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) u1))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (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) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.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 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))) (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (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))))))))
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))) (sqrt.f32 u1))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) 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))))))))
(+.f32 (*.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 (/.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 (* (/ (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)))))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1)))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1))) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))))) u1) (sqrt.f32 (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 (* 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) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))

eval39.0ms (0.3%)

Memory
15.1MiB live, 52.9MiB allocated
Compiler

Compiled 7 933 to 1 466 computations (81.5% saved)

prune64.0ms (0.5%)

Memory
11.9MiB live, 165.4MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New30422326
Fresh000
Picked101
Done000
Total30522327
Accuracy
99.6%
Counts
327 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.4%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.4%
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.6%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.4%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.3%
(*.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) #s(literal 2 binary32)))
50.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 256 to 804 computations (36% saved)

simplify475.0ms (3.5%)

Memory
-13.9MiB live, 899.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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))))))
cost-diff0
(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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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)))))))
cost-diff0
(*.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
18 332×accelerator-lowering-fma.f32
18 332×accelerator-lowering-fma.f64
3 428×*-lowering-*.f32
3 428×*-lowering-*.f64
2 802×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055575
1135575
2334575
3951575
42290575
53256551
66274551
08031482
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (- 1 u1)))) 1)
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 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
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (cos (* (* 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)
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1)))))))
(neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))
(+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1)))))
(log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))))
(/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))
(+ 1 (* u1 (* u1 u1)))
1
(* u1 (* u1 u1))
u1
(* u1 u1)
(+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))
(* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
(+ 1 u1)
(* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))
(log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))
(* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))
(- (* u1 (+ 1 u1)) 1)
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(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
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (- 1 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(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
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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))))))))))
(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)
(cos (* (* 2 (PI)) u2))
(cos.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 (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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)
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal -2 binary32)))))))))))
(sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1)))))))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal -2 binary32))))))))))
(neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal -2 binary32)))))))))
(+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal -2 binary32))))))))
(log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))
(/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(+ 1 (* u1 (* u1 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
1
#s(literal 1 binary32)
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))
(*.f32 u1 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal -2 binary32)))))))
(* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 (-.f32 u1 #s(literal -2 binary32))))))
(- (* u1 (+ 1 u1)) 1)
(+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(cos (* (* 2 (PI)) u2))
(cos.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

localize514.0ms (3.8%)

Memory
14.2MiB live, 612.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
accuracy98.6%
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
accuracy23.7%
(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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
accuracy99.2%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
accuracy99.1%
(*.f32 u1 (*.f32 u1 u1))
accuracy99.0%
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.2%
(*.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))))))))
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))))))
accuracy99.1%
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy100.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
accuracy100.0%
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.8%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy51.8%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy99.8%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.7%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Samples
113.0ms125×1valid
84.0ms131×0valid
Compiler

Compiled 655 to 55 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult: 38.0ms (27.6% of total)
ival-sqrt: 21.0ms (15.2% of total)
ival-log: 15.0ms (10.9% of total)
ival-add: 14.0ms (10.2% of total)
ival-log1p: 14.0ms (10.2% of total)
const: 8.0ms (5.8% of total)
adjust: 7.0ms (5.1% of total)
ival-sub: 7.0ms (5.1% of total)
ival-neg: 6.0ms (4.4% of total)
ival-cos: 3.0ms (2.2% of total)
ival-div: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series186.0ms (1.4%)

Memory
-17.4MiB live, 259.3MiB allocated
Counts
29 → 396
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt (neg (log (- 1 u1)))) 1)>
#<alt (log (- 1 u1))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 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 (* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (cos (* (* 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 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))>
#<alt (* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1)))))))>
#<alt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (+ 1/3 (* u1 1/4))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* u1 (* u1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))))>
#<alt (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))>
#<alt (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))>
Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -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) (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 (* -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) (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))))>
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#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 5/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))>
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#<alt (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 5/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1)) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))) (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3)))))))))>
#<alt (+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3)))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))))))>
#<alt (+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3)))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))>
#<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))) (* 5/6 (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))))))) (* 5/6 (sqrt (/ 1 u1))))))))>
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#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sqrt -1) (- 5/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) (* (sqrt -1) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt -1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1)) (* (sqrt -1) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) (* 1/2 (* (/ (* (sqrt -1) (+ 5/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1)) (* 1/2 (* (sqrt -1) (sqrt (/ 1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))))) u1)) (* (sqrt -1) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))>
#<alt (* -1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (* -4 (log (/ 1 u1))) (+ (* 3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3))))))>
#<alt (* -1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))>
#<alt (- (/ 1 u1) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1)) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/2 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 (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt 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)))>
#<alt (* -3 (pow u1 4))>
#<alt (* (pow u1 4) (- (* -3 u1) 3))>
#<alt (* (pow u1 4) (- (* u1 (- (* -1 u1) 3)) 3))>
#<alt (* (pow u1 4) (- (* u1 (- (* u1 (- (* 3 u1) 1)) 3)) 3))>
#<alt (* 3 (log (/ 1 u1)))>
#<alt (- (* 3 (log (/ 1 u1))) (* 3 (/ 1 u1)))>
#<alt (- (+ (* 3 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (* 3 (/ 1 u1)))>
#<alt (- (+ (* 3 (log (/ 1 u1))) (+ (* 3/4 (/ 1 (pow u1 4))) (/ 3/2 (pow u1 2)))) (* 3 (/ 1 u1)))>
#<alt (+ (log -1) (* 3 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* 3 (log (/ -1 u1)))) (* 3 (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (/ (- 3 (* 3/2 (/ 1 u1))) u1)) (* 3 (log (/ -1 u1)))))>
#<alt (+ (log -1) (+ (* -1 (/ (+ 3 (* -1 (/ (+ 3/2 (* 3/4 (/ 1 (pow u1 2)))) u1))) u1)) (* 3 (log (/ -1 u1)))))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (* 3 u1)))>
#<alt (* (pow u1 3) (+ 1 (* u1 (+ 3 (* 3 u1)))))>
#<alt (* (pow u1 3) (+ 1 (* u1 (+ 3 (* u1 (+ 3 u1))))))>
#<alt (pow u1 6)>
#<alt (* (pow u1 6) (+ 1 (* 3 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (/ 3 (pow u1 2)))))>
#<alt (* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (+ (/ 1 (pow u1 3)) (/ 3 (pow u1 2))))))>
#<alt (pow u1 6)>
#<alt (* (pow u1 6) (+ 1 (* 3 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (/ 3 (pow u1 2)))))>
#<alt (* (pow u1 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 u1)) u1)) 3) u1))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
Calls

99 calls:

TimeVariablePointExpression
102.0ms
u2
@inf
(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))) (cos (* (* 2 (PI)) u2)))
32.0ms
u2
@inf
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
8.0ms
u1
@inf
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
6.0ms
u2
@inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))) (cos (* (* 2 (PI)) u2)))

rewrite654.0ms (4.8%)

Memory
3.5MiB live, 1 213.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 480×accelerator-lowering-fma.f32
5 480×accelerator-lowering-fma.f64
4 228×*-lowering-*.f32
4 228×*-lowering-*.f64
3 748×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055250
1303250
22566250
09873195
Stop Event
iter limit
node limit
Counts
29 → 1 162
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt (neg (log (- 1 u1)))) 1)
(log (- 1 u1))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 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))))))
(* (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* u1 (* u1 u1)))))) (cos (* (* 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))
(* (sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1)))))))
(neg (+ (log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))))) (log (+ 1 (* (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) 1))))))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
(+ 1/3 (* u1 1/4))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* u1 (* u1 u1))
(* u1 (+ 1 u1))
(log (/ (+ 1 (* u1 (* u1 u1))) (+ 1 (* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))))))
(* (* u1 (+ 1 u1)) (* (* u1 (+ 1 u1)) (* u1 (+ 1 u1))))
(* (* u1 (+ 1 u1)) (* u1 (+ 1 u1)))
Outputs
(*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log1p.f32 u1))))))
(/.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))))))
(/.f32 (pow.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.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 u1 u1))))))))
(/.f32 (hypot.f32 (pow.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) #s(literal 3/2 binary32)) (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 3/2 binary32))) (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))))))))))
(/.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))))) (sqrt.f32 (neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))))))
(/.f32 (sqrt.f32 (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))))) (sqrt.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))))))) (sqrt.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log1p.f32 u1))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))))))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 u1) (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))))))) (sqrt.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))))))
(/.f32 (neg.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (pow.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32))))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
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simplify584.0ms (4.3%)

Memory
33.4MiB live, 1 172.2MiB allocated
Algorithm
egg-herbie
Rules
12 092×accelerator-lowering-fma.f32
12 092×accelerator-lowering-fma.f64
8 904×*-lowering-*.f32
8 904×*-lowering-*.f64
4 858×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09829340
131228053
087537532
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
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))))
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(* -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) (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)))))
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(* (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)))))))
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* -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))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (+ 1 u1) (- (* u1 (+ 1 u1)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (* (pow u1 3) (pow (+ 1 u1) 3))))))))
(* (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))) (* 5/6 (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))))))) (* 5/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))
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(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (sqrt -1) (- 5/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1))))))) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1)))))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))
(* -1 (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (* -4 (log (/ 1 u1))) (* 3 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (* -4 (log (/ 1 u1))) (+ (* 3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3))))))
(* -1 (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))
(- (/ 1 u1) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))
(- (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1)) (+ (log -1) (+ (* -4 (log (/ -1 u1))) (* 3 (log (/ -1 u1))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
1/3
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(* 1/4 u1)
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(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 3))
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(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
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u1
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(* (pow u1 4) (- (* u1 (- (* u1 (- (* 3 u1) 1)) 3)) 3))
(* 3 (log (/ 1 u1)))
(- (* 3 (log (/ 1 u1))) (* 3 (/ 1 u1)))
(- (+ (* 3 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (* 3 (/ 1 u1)))
(- (+ (* 3 (log (/ 1 u1))) (+ (* 3/4 (/ 1 (pow u1 4))) (/ 3/2 (pow u1 2)))) (* 3 (/ 1 u1)))
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(- (+ (log -1) (* 3 (log (/ -1 u1)))) (* 3 (/ 1 u1)))
(+ (log -1) (+ (* -1 (/ (- 3 (* 3/2 (/ 1 u1))) u1)) (* 3 (log (/ -1 u1)))))
(+ (log -1) (+ (* -1 (/ (+ 3 (* -1 (/ (+ 3/2 (* 3/4 (/ 1 (pow u1 2)))) u1))) u1)) (* 3 (log (/ -1 u1)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (* 3 u1)))
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(* (pow u1 3) (+ 1 (* u1 (+ 3 (* u1 (+ 3 u1))))))
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(* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (/ 3 (pow u1 2)))))
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Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
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(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.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))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
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(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
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(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/2 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 (*.f32 u1 (*.f32 u1 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 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 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 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 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 (*.f32 u1 (*.f32 u1 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)))
(neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32))))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
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))))
(* -3 (pow u1 4))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal -3 binary32))
(* (pow u1 4) (- (* -3 u1) 3))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (*.f32 u1 #s(literal -3 binary32)) #s(literal -3 binary32)))
(* (pow u1 4) (- (* u1 (- (* -1 u1) 3)) 3))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (*.f32 u1 (+.f32 (neg.f32 u1) #s(literal -3 binary32))) #s(literal -3 binary32)))
(* (pow u1 4) (- (* u1 (- (* u1 (- (* 3 u1) 1)) 3)) 3))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal -3 binary32))) #s(literal -3 binary32)))
(* 3 (log (/ 1 u1)))
(*.f32 (log.f32 u1) #s(literal -3 binary32))
(- (* 3 (log (/ 1 u1))) (* 3 (/ 1 u1)))
(+.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)) (/.f32 #s(literal -3 binary32) u1))
(- (+ (* 3 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (* 3 (/ 1 u1)))
(+.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -3 binary32) u1)))
(- (+ (* 3 (log (/ 1 u1))) (+ (* 3/4 (/ 1 (pow u1 4))) (/ 3/2 (pow u1 2)))) (* 3 (/ 1 u1)))
(+.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -3 binary32) u1))))
(+ (log -1) (* 3 (log (/ -1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (log -1) (* 3 (log (/ -1 u1)))) (* 3 (/ 1 u1)))
(+.f32 (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3 binary32) u1)))
(+ (log -1) (+ (* -1 (/ (- 3 (* 3/2 (/ 1 u1))) u1)) (* 3 (log (/ -1 u1)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3/2 binary32) u1)) u1)))
(+ (log -1) (+ (* -1 (/ (+ 3 (* -1 (/ (+ 3/2 (* 3/4 (/ 1 (pow u1 2)))) u1))) u1)) (* 3 (log (/ -1 u1)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (*.f32 #s(literal 3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) u1)) u1)))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* (pow u1 3) (+ 1 (* 3 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 3 binary32))))
(* (pow u1 3) (+ 1 (* u1 (+ 3 (* 3 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 3 binary32) (*.f32 u1 #s(literal 3 binary32))))))
(* (pow u1 3) (+ 1 (* u1 (+ 3 (* u1 (+ 3 u1))))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 3 binary32) (*.f32 u1 (+.f32 u1 #s(literal 3 binary32)))))))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(* (pow u1 6) (+ 1 (* 3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) u1)))
(* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (/ 3 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3 binary32) u1) (/.f32 #s(literal 3 binary32) (*.f32 u1 u1)))))
(* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (+ (/ 1 (pow u1 3)) (/ 3 (pow u1 2))))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 3 binary32) (*.f32 u1 u1)))))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(* (pow u1 6) (+ 1 (* 3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) u1)))
(* (pow u1 6) (+ 1 (+ (* 3 (/ 1 u1)) (/ 3 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 3 binary32) u1) (/.f32 #s(literal 3 binary32) (*.f32 u1 u1)))))
(* (pow u1 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 u1)) u1)) 3) u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -3 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -3 binary32)) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 2 binary32)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 2 binary32)))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 2 binary32)))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))

eval553.0ms (4.1%)

Memory
-160.9MiB live, 745.2MiB allocated
Compiler

Compiled 113 636 to 9 369 computations (91.8% saved)

prune350.0ms (2.6%)

Memory
19.7MiB live, 699.3MiB allocated
Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New2 130332 163
Fresh71017
Picked325
Done000
Total2 140452 185
Accuracy
99.9%
Counts
2 185 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.8%
(+.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 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
93.5%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.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)) (*.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))))) (sqrt.f32 (-.f32 u1 (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.1%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.3%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (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)))
75.9%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1)))))))) (*.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)))) (*.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.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)) (*.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)))) (-.f32 u1 (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 u1 u1))) (+.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)) (*.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))) (-.f32 (*.f32 u1 u1) (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) 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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.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) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.2%
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.2%
(*.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
87.8%
(*.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 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))))))
84.8%
(*.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 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
92.5%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.4%
(*.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))))))) #s(literal 1 binary32))
86.1%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
94.2%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.3%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal -3 binary32)) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (-.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.1%
(*.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.4%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
53.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) #s(literal 2 binary32)))
50.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
66.8%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
4.1%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
92.0%
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.8%
(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)))))))))
Compiler

Compiled 3 256 to 1 796 computations (44.8% saved)

simplify470.0ms (3.5%)

Memory
3.1MiB live, 710.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff384
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
cost-diff3040
(pow.f32 u1 #s(literal 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
(*.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)))))))))
cost-diff0
(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))
cost-diff0
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
cost-diff64
(neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
cost-diff128
(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 u1)
cost-diff32
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
cost-diff0
(log1p.f32 u1)
cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
16 014×accelerator-lowering-fma.f32
16 014×accelerator-lowering-fma.f64
4 730×+-lowering-+.f64
4 730×+-lowering-+.f32
3 362×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053494
1133493
2331493
3973493
44068493
54603469
65391452
08510396
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
(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)
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(+ 1 u1)
1
u1
(- 1 (* u1 u1))
(* u1 u1)
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* 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)))))))
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
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))) (cos (* (* 2 (PI)) u2)))
(sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4))))
(* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))
(pow u1 4)
u1
4
(+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4))
(+ (/ 1/2 (* u1 u1)) (/ 1/3 u1))
(/ 1/2 (* u1 u1))
1/2
(* u1 u1)
(/ 1/3 u1)
1/3
(+ (/ 1 (* u1 (* u1 u1))) 1/4)
(/ 1 (* u1 (* u1 u1)))
1
(* u1 (* u1 u1))
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (+ 1 (- 0 (* u1 u1))))
(log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(- 0 (* u1 u1))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
0
#s(literal 0 binary32)
(* u1 u1)
(*.f32 u1 u1)
(cos (* (* 2 (PI)) u2))
(cos.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 u1) -1)
(neg.f32 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
(sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(- 1 (* u1 u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (pow.f32 (*.f32 u1 (*.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))))))) (*.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)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(pow.f32 (*.f32 u1 (*.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))))))) (*.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))
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(*.f32 u1 (*.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))))))) (*.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)
(cos (* (* 2 (PI)) u2))
(cos.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 (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (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))))))))))
(sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 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)))))))))
(* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 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))))))))
(pow u1 4)
(*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)
u1
4
#s(literal 4 binary32)
(+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4))
(+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(+ (/ 1/2 (* u1 u1)) (/ 1/3 u1))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))
(/ 1/2 (* u1 u1))
(/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
1/2
#s(literal 1/2 binary32)
(* u1 u1)
(*.f32 u1 u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
1/3
#s(literal 1/3 binary32)
(+ (/ 1 (* u1 (* u1 u1))) 1/4)
(+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(/ 1 (* u1 (* u1 u1)))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
1
#s(literal 1 binary32)
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.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

localize222.0ms (1.6%)

Memory
19.9MiB live, 371.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
accuracy98.9%
(/.f32 #s(literal 1/3 binary32) u1)
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.8%
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 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))))))
accuracy99.1%
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
accuracy99.0%
(*.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)))))))))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
accuracy99.8%
(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
accuracy99.7%
(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
accuracy49.1%
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.7%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Samples
137.0ms256×0valid
Compiler

Compiled 517 to 55 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 37.0ms (32.8% of total)
ival-log: 28.0ms (24.8% of total)
ival-div: 8.0ms (7.1% of total)
ival-add: 8.0ms (7.1% of total)
ival-pow: 7.0ms (6.2% of total)
ival-sqrt: 6.0ms (5.3% of total)
ival-log1p: 5.0ms (4.4% of total)
const: 4.0ms (3.5% of total)
ival-sub: 3.0ms (2.7% of total)
ival-cos: 3.0ms (2.7% of total)
ival-neg: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series168.0ms (1.2%)

Memory
-16.4MiB live, 338.7MiB allocated
Counts
26 → 348
Calls
Call 1
Inputs
#<alt (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))>
#<alt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))>
#<alt (log (+ 1 u1))>
#<alt (* (sqrt u1) -1)>
#<alt (sqrt u1)>
#<alt (/ (+ 1 u1) (- 1 (* u1 u1)))>
#<alt (* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)>
#<alt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))>
#<alt (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))>
#<alt (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)>
#<alt (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))>
#<alt (* (sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (log (/ (+ 1 u1) (- 1 (* u1 u1))))>
#<alt (- 1 (* u1 u1))>
#<alt (+ 1/3 (* u1 1/4))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (/ 1/3 u1)>
#<alt (/ 1 (* u1 (* u1 u1)))>
Outputs
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
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#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (cos (* 2 (* u2 (PI)))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (+ (* -2 (* (* (pow u1 2) (* (pow u2 2) (pow (PI) 2))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))) (* (pow u1 2) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))))>
#<alt (+ (* (pow u1 2) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow u1 2) (pow (PI) 2)) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))) (* 2/3 (* (* (pow u1 2) (* (pow u2 2) (pow (PI) 4))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))))))>
#<alt (+ (* (pow u1 2) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow u1 2) (pow (PI) 2)) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u1 2) (* (pow u2 2) (pow (PI) 6))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))) (* 2/3 (* (* (pow u1 2) (pow (PI) 4)) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (* (* (pow u1 2) (cos (* 2 (* u2 (PI))))) (sqrt (+ 1/4 (+ (* 1/3 (/ 1 u1)) (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 7/18 (* 20/27 (/ 1 u1))) u1)) 1/3) u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 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 (+ (log -1) (log (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (log (/ -1 u1))>
#<alt (+ (log (/ -1 u1)) (/ 1 u1))>
#<alt (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow u1 2)))>
#<alt (+ 1 (* -1 (pow u1 2)))>
#<alt (+ 1 (* -1 (pow u1 2)))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))>
#<alt (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))>
#<alt (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))>
#<alt (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))>
#<alt (* (pow u1 2) (- (/ 1 (pow u1 2)) 1))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/2 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 (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1/3 u1)>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
#<alt (/ 1 (pow u1 3))>
Calls

87 calls:

TimeVariablePointExpression
81.0ms
u1
@0
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (cos (* (* 2 (PI)) u2)))
32.0ms
u2
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
17.0ms
u2
@0
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (cos (* (* 2 (PI)) u2)))
8.0ms
u1
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@-inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))

rewrite334.0ms (2.5%)

Memory
27.2MiB live, 740.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 220×/-lowering-/.f32
3 220×/-lowering-/.f64
3 102×*-lowering-*.f32
3 102×*-lowering-*.f64
2 250×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053292
1336240
23249238
08741210
Stop Event
iter limit
node limit
Counts
26 → 659
Calls
Call 1
Inputs
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1))))))
(- (log (+ 1 u1)) (log (+ 1 (- 0 (* u1 u1)))))
(log (+ 1 u1))
(* (sqrt u1) -1)
(sqrt u1)
(/ (+ 1 u1) (- 1 (* u1 u1)))
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* 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)))))))
(pow u1 4)
(* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))
(* (sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4)))) (cos (* (* 2 (PI)) u2)))
(sqrt (* (pow u1 4) (+ (+ (/ 1/2 (* u1 u1)) (/ 1/3 u1)) (+ (/ 1 (* u1 (* u1 u1))) 1/4))))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(- 1 (* u1 u1))
(+ 1/3 (* u1 1/4))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(/ 1/3 u1)
(/ 1 (* u1 (* u1 u1)))
Outputs
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 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)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 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 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))))
(/.f32 (pow.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 (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 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (pow.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 1/2 binary32))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
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(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.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)))))))))))
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(+.f32 (*.f32 (*.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 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 u1))) (*.f32 #s(literal 1 binary32) (*.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))))))) (*.f32 u1 u1))))
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(fma.f32 #s(literal 1 binary32) (*.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))))))) (*.f32 u1 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)))))) (*.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))))))) (*.f32 u1 u1))))
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(fma.f32 (*.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 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 u1)) (*.f32 #s(literal 1 binary32) (*.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))))))) (*.f32 u1 u1))))
(fma.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))))))) (*.f32 u1 u1) (*.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 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(fma.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))))))) (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.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))))))))))
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(/.f32 (*.f32 u1 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)))))
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(*.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
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(neg.f32 (/.f32 #s(literal -1/3 binary32) u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 u1 #s(literal 1/3 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 u1 #s(literal 1/3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1/3 binary32)))
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(exp.f32 (*.f32 #s(literal -3 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32)))
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(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
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(*.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (pow.f32 u1 #s(literal -3/2 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal -1 binary32)))

simplify429.0ms (3.2%)

Memory
-33.7MiB live, 809.5MiB allocated
Algorithm
egg-herbie
Rules
8 532×accelerator-lowering-fma.f32
8 532×accelerator-lowering-fma.f64
7 094×*-lowering-*.f32
7 094×*-lowering-*.f64
2 854×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06326090
119785351
261485330
080495007
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))
(+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))
(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
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)))))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
1
(+ 1 (* -1 (pow u1 2)))
(+ 1 (* -1 (pow u1 2)))
(+ 1 (* -1 (pow u1 2)))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* -1 (pow u1 2))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1/3 u1)
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
(/ 1 (pow u1 3))
Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.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) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+.f32 (*.f32 (cos.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 #s(literal 1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+.f32 (*.f32 (cos.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 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) u1) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))))) (*.f32 u1 u1)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(+.f32 (+.f32 (*.f32 (cos.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 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) u1) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))))) (*.f32 u1 u1))))) (*.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)))))) (+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)) (log.f32 #s(literal -1 binary32)))))) #s(literal 1/2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+.f32 (*.f32 (cos.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(-.f32 (*.f32 (cos.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (+.f32 #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))))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1)) u1))
(sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
(+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (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 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))))))))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (*.f32 (*.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 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (- 1 (pow u1 2))))))
(*.f32 (cos.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))))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
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(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ 1 (* -1 (pow u1 2)))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* -1 (pow u1 2))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* (pow u1 2) (- (/ 1 (pow u1 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 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 #s(literal 1/4 binary32) (*.f32 u1 u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 3))
(*.f32 u1 (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* -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 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1/3 u1)
(/.f32 #s(literal 1/3 binary32) u1)
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(/ 1 (pow u1 3))
(/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))

eval173.0ms (1.3%)

Memory
24.0MiB live, 257.7MiB allocated
Compiler

Compiled 40 902 to 3 931 computations (90.4% saved)

prune256.0ms (1.9%)

Memory
19.7MiB live, 419.7MiB allocated
Pruning

60 alts after pruning (55 fresh and 5 done)

PrunedKeptTotal
New1 160281 188
Fresh112738
Picked235
Done022
Total1 173601 233
Accuracy
99.9%
Counts
1 233 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.8%
(+.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 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
74.2%
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
93.5%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.1%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
94.4%
(*.f32 (pow.f32 (*.f32 (*.f32 (*.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))))))) (+.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) u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.8%
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
77.8%
(*.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)) #s(literal 1 binary32))
94.1%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 11/12 binary32) (*.f32 u1 #s(literal 5/6 binary32)))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.5%
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.2%
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.f32 (pow.f32 (*.f32 u1 (exp.f32 (log.f32 (*.f32 (*.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))))))) (+.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)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.7%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.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)) (*.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))))) (sqrt.f32 (-.f32 u1 (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
94.1%
(*.f32 (*.f32 (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.1%
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.1%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.3%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1))) u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
94.1%
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
77.6%
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
75.9%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1)))))))) (*.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)))) (*.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.2%
(*.f32 (sqrt.f32 (-.f32 u1 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.6%
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
88.2%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
77.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) #s(literal 1 binary32))
94.2%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.2%
(*.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
84.8%
(*.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 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
92.5%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.4%
(*.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))))))) #s(literal 1 binary32))
88.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
94.2%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (-.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.1%
(*.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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.4%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
53.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) #s(literal 2 binary32)))
50.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.1%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
92.0%
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.1%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
77.8%
(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)))))))))
46.7%
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
66.8%
(sqrt.f32 u1)
Compiler

Compiled 3 665 to 2 213 computations (39.6% saved)

simplify311.0ms (2.3%)

Memory
-33.6MiB live, 291.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.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 (log.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 1/2 binary32))
cost-diff0
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff3232
(exp.f32 (*.f32 (log.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 1/2 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
cost-diff0
(*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
cost-diff0
(log.f32 u1)
cost-diff0
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
cost-diff32
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
cost-diff3232
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
cost-diff-32
(sqrt.f32 u1)
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
cost-diff0
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
5 664×accelerator-lowering-fma.f32
5 664×accelerator-lowering-fma.f64
1 422×*-lowering-*.f32
1 422×*-lowering-*.f64
888×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041352
198350
2184350
3475350
4974350
51114350
61291350
71709350
82229350
93109350
103761350
114236350
124322350
134330350
144408350
154436350
164436350
174439350
184439350
194443350
04443306
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (pow (pow (log (+ 1 (neg u1))) 2) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (pow (log (+ 1 (neg u1))) 2) 1/4)
(pow (log (+ 1 (neg u1))) 2)
(log (+ 1 (neg u1)))
(neg u1)
u1
2
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
(sqrt u1)
u1
(* (exp (* (log u1) 1/2)) -1)
(exp (* (log u1) 1/2))
(* (log u1) 1/2)
(log u1)
u1
1/2
-1
(* (sqrt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4)))))))
(* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))
u1
(+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1 (* u1 1/2))
1
(* u1 1/2)
1/2
(* u1 (* u1 (+ 1/3 (* u1 1/4))))
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)) (cos (* (* 2 (PI)) u2)))
(exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2))
(* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)
(log (* 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
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (pow (pow (log (+ 1 (neg u1))) 2) 1/4) (cos (* (* 2 (PI)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(pow (pow (log (+ 1 (neg u1))) 2) 1/4)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow (log (+ 1 (neg u1))) 2)
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
2
#s(literal 2 binary32)
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.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))
(PI)
(PI.f32)
u2
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(* (exp (* (log u1) 1/2)) -1)
(neg.f32 (pow.f32 u1 #s(literal 1/2 binary32)))
(exp (* (log u1) 1/2))
(pow.f32 u1 #s(literal 1/2 binary32))
(* (log u1) 1/2)
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(log u1)
(log.f32 u1)
u1
1/2
#s(literal 1/2 binary32)
-1
#s(literal -1 binary32)
(* (sqrt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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 1/2 binary32)))
(sqrt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4)))))))
(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 1/2 binary32))
(* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* 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 (* 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 (* u1 1/2))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(* u1 1/2)
(*.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* u1 (* u1 (+ 1/3 (* u1 1/4))))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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)
(cos (* (* 2 (PI)) u2))
(cos.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
(* (exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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 1/2 binary32)))
(exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2))
(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 1/2 binary32))
(* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)
(*.f32 #s(literal 1/2 binary32) (log.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))))))))))
(log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(log.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)
(cos (* (* 2 (PI)) u2))
(cos.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

localize155.0ms (1.1%)

Memory
17.3MiB live, 328.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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))))))
accuracy99.1%
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy96.6%
(exp.f32 (*.f32 (log.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 1/2 binary32)))
accuracy99.2%
(*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
accuracy99.1%
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
accuracy99.1%
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy100.0%
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
accuracy100.0%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
accuracy100.0%
(log.f32 u1)
accuracy96.4%
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.7%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.9%
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
Samples
87.0ms256×0valid
Compiler

Compiled 369 to 43 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 20.0ms (30.6% of total)
ival-add: 7.0ms (10.7% of total)
ival-log: 6.0ms (9.2% of total)
const: 6.0ms (9.2% of total)
ival-exp: 5.0ms (7.6% of total)
ival-pow: 5.0ms (7.6% of total)
ival-sqrt: 4.0ms (6.1% of total)
ival-log1p: 3.0ms (4.6% of total)
ival-cos: 3.0ms (4.6% of total)
ival-pow2: 3.0ms (4.6% of total)
ival-pi: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
15.2MiB live, 129.4MiB allocated
Counts
22 → 300
Calls
Call 1
Inputs
#<alt (* (pow (pow (log (+ 1 (neg u1))) 2) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (pow (log (+ 1 (neg u1))) 2) 1/4)>
#<alt (pow (log (+ 1 (neg u1))) 2)>
#<alt (log (+ 1 (neg u1)))>
#<alt (sqrt u1)>
#<alt (exp (* (log u1) 1/2))>
#<alt (* (exp (* (log u1) 1/2)) -1)>
#<alt (* (log u1) 1/2)>
#<alt (log u1)>
#<alt (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* (sqrt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))) (cos (* (* 2 (PI)) u2)))>
#<alt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))>
#<alt (+ 1 (* u1 1/2))>
#<alt (exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2))>
#<alt (* (exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)>
#<alt (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (+ 1/3 (* u1 1/4))>
#<alt (* u1 (* u1 (+ 1/3 (* u1 1/4))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))))>
#<alt (sqrt (log (- 1 u1)))>
#<alt (+ (sqrt (log (- 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1))))))>
#<alt (+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1))))))))>
#<alt (+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (- 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (sqrt -1))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))>
#<alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (+ 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 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (sqrt -1))>
#<alt (+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1)))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (sqrt -1)))) (* -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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))>
#<alt (pow (log (/ -1 u1)) 2)>
#<alt (+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<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)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* 1/2 (log u1))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* -1/2 (log (/ 1 u1)))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))>
#<alt (+ 1 (* 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)) (/ 1 (pow u1 3))))))>
#<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)) (/ 1 (pow u1 2)))) u1)) 1/4)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* -2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (pow (PI) 4))))))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))>
#<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 (* 1/4 (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 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* 1/2 u1))>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (/ 1 u1)))>
#<alt (* u1 (+ 1/2 (/ 1 u1)))>
#<alt (* u1 (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (/ 1 u1)))>
#<alt (* u1 (+ 1/2 (/ 1 u1)))>
#<alt (* u1 (+ 1/2 (/ 1 u1)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 7/18 (* 20/27 (/ 1 u1))) u1)) 1/3) u1))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/2 (log u1))>
#<alt (+ (* 1/4 u1) (* 1/2 (log u1)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 u1))))))>
#<alt (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1)))))>
#<alt (+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (* 2/3 (/ 1 u1)))>
#<alt (+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (+ (/ 5/9 (pow u1 2)) (* 2/3 (/ 1 u1))))>
#<alt (+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (+ (/ 5/9 (pow u1 2)) (+ (* 2/3 (/ 1 u1)) (* 86/81 (/ 1 (pow u1 3))))))>
#<alt (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1)))))>
#<alt (+ (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))) (* 2/3 (/ 1 u1)))>
#<alt (+ (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))) (+ (/ 5/9 (pow u1 2)) (* 2/3 (/ 1 u1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 5/9 (* 86/81 (/ 1 u1))) u1)) 2/3) u1)) (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))))>
#<alt (log u1)>
#<alt (+ (log u1) (* 1/2 u1))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))>
#<alt (+ (log 1/4) (* -4 (log (/ 1 u1))))>
#<alt (+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (* 4/3 (/ 1 u1))))>
#<alt (+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (+ (* 4/3 (/ 1 u1)) (/ 10/9 (pow u1 2)))))>
#<alt (+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (+ (* 4/3 (/ 1 u1)) (+ (* 172/81 (/ 1 (pow u1 3))) (/ 10/9 (pow u1 2))))))>
#<alt (+ (log 1/4) (* -4 (log (/ -1 u1))))>
#<alt (+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (* 4/3 (/ 1 u1))))>
#<alt (+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (+ (* 4/3 (/ 1 u1)) (/ 10/9 (pow u1 2)))))>
#<alt (+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 10/9 (* 172/81 (/ 1 u1))) u1)) 4/3) u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/3 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/4 u1)))>
#<alt (* (pow u1 2) (+ 1/3 (* 1/4 u1)))>
#<alt (* (pow u1 2) (+ 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 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<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)))>
Calls

75 calls:

TimeVariablePointExpression
12.0ms
u1
@-inf
(* (log u1) 1/2)
8.0ms
u1
@inf
(* (log u1) 1/2)
6.0ms
u1
@0
(* (log u1) 1/2)
2.0ms
u1
@-inf
(pow (pow (log (+ 1 (neg u1))) 2) 1/4)
1.0ms
u1
@-inf
(* (pow (pow (log (+ 1 (neg u1))) 2) 1/4) (cos (* (* 2 (PI)) u2)))

rewrite443.0ms (3.3%)

Memory
-9.9MiB live, 717.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 598×accelerator-lowering-fma.f32
5 598×accelerator-lowering-fma.f64
3 762×*-lowering-*.f32
3 762×*-lowering-*.f64
3 502×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041208
1204205
21494205
08232175
Stop Event
iter limit
node limit
Counts
22 → 550
Calls
Call 1
Inputs
(* (pow (pow (log (+ 1 (neg u1))) 2) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (pow (log (+ 1 (neg u1))) 2) 1/4)
(pow (log (+ 1 (neg u1))) 2)
(log (+ 1 (neg u1)))
(sqrt u1)
(exp (* (log u1) 1/2))
(* (exp (* (log u1) 1/2)) -1)
(* (log u1) 1/2)
(log u1)
(+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4)))))
(* (sqrt (* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))) (cos (* (* 2 (PI)) u2)))
(* u1 (+ (+ 1 (* u1 1/2)) (* u1 (* u1 (+ 1/3 (* u1 1/4))))))
(+ 1 (* u1 1/2))
(exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2))
(* (exp (* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)) (cos (* (* 2 (PI)) u2)))
(* (log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/2)
(log (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
(+ 1/3 (* u1 1/4))
(* u1 (* u1 (+ 1/3 (* u1 1/4))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
Outputs
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 4 binary32))) #s(literal 1/8 binary32)))
(exp.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/8 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/8 binary32))))
(fabs.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
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(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) 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 (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))))))
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(*.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))

simplify400.0ms (2.9%)

Memory
29.0MiB live, 802.9MiB allocated
Algorithm
egg-herbie
Rules
8 586×accelerator-lowering-fma.f32
8 586×accelerator-lowering-fma.f64
7 190×*-lowering-*.f32
7 190×*-lowering-*.f64
2 846×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06424992
119754533
262864513
080194189
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))
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1
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(* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (+ (* 1/2 u1) (* (pow u1 2) (+ 1/3 (* 1/4 u1))))))) (cos (* 2 (* u2 (PI)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 7/18 (* 20/27 (/ 1 u1))) u1)) 1/3) u1))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* 1/2 (log u1))
(+ (* 1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 u1))))))
(* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1)))))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (* 2/3 (/ 1 u1)))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (+ (/ 5/9 (pow u1 2)) (* 2/3 (/ 1 u1))))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (+ (/ 5/9 (pow u1 2)) (+ (* 2/3 (/ 1 u1)) (* 86/81 (/ 1 (pow u1 3))))))
(* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1)))))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))) (* 2/3 (/ 1 u1)))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))) (+ (/ 5/9 (pow u1 2)) (* 2/3 (/ 1 u1))))
(+ (* -1 (/ (- (* -1 (/ (+ 5/9 (* 86/81 (/ 1 u1))) u1)) 2/3) u1)) (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))))
(log u1)
(+ (log u1) (* 1/2 u1))
(+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))
(+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))
(+ (log 1/4) (* -4 (log (/ 1 u1))))
(+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (* 4/3 (/ 1 u1))))
(+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (+ (* 4/3 (/ 1 u1)) (/ 10/9 (pow u1 2)))))
(+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (+ (* 4/3 (/ 1 u1)) (+ (* 172/81 (/ 1 (pow u1 3))) (/ 10/9 (pow u1 2))))))
(+ (log 1/4) (* -4 (log (/ -1 u1))))
(+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (* 4/3 (/ 1 u1))))
(+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (+ (* 4/3 (/ 1 u1)) (/ 10/9 (pow u1 2)))))
(+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 10/9 (* 172/81 (/ 1 u1))) u1)) 4/3) u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/2 u1)
(* u1 (+ 1/2 (* 1/3 u1)))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 3))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/4 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 u1 u1) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) u1) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))))
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1 (/ (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))))
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(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (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))))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (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))))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (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))))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (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))))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
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(* 1/2 (log u1))
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(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))
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(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 u1))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32)))))))
(* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (log.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 4 binary32) (log.f32 u1))))
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(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (+ (/ 5/9 (pow u1 2)) (* 2/3 (/ 1 u1))))
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(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ 1 u1))))) (+ (/ 5/9 (pow u1 2)) (+ (* 2/3 (/ 1 u1)) (* 86/81 (/ 1 (pow u1 3))))))
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(* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1)))))
(+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 1/4 binary32))))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))) (* 2/3 (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) u1) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 1/4 binary32)))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)))
(+ (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))) (+ (/ 5/9 (pow u1 2)) (* 2/3 (/ 1 u1))))
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(+ (* -1 (/ (- (* -1 (/ (+ 5/9 (* 86/81 (/ 1 u1))) u1)) 2/3) u1)) (* 1/2 (+ (log 1/4) (* -4 (log (/ -1 u1))))))
(-.f32 (+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal 1/4 binary32)))) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 #s(literal 5/9 binary32) (/.f32 #s(literal 86/81 binary32) u1)) u1)) u1))
(log u1)
(log.f32 u1)
(+ (log u1) (* 1/2 u1))
(+.f32 (log.f32 u1) (*.f32 u1 #s(literal 1/2 binary32)))
(+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))
(+.f32 (log.f32 u1) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 5/24 binary32)))))
(+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))
(+.f32 (log.f32 u1) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 5/24 binary32) (*.f32 u1 #s(literal 1/8 binary32)))))))
(+ (log 1/4) (* -4 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 4 binary32) (log.f32 u1)))
(+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (* 4/3 (/ 1 u1))))
(+.f32 (log.f32 #s(literal 1/4 binary32)) (+.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1)) (/.f32 #s(literal 4/3 binary32) u1)))
(+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (+ (* 4/3 (/ 1 u1)) (/ 10/9 (pow u1 2)))))
(+.f32 (log.f32 #s(literal 1/4 binary32)) (+.f32 (+.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1)) (/.f32 #s(literal 4/3 binary32) u1)) (/.f32 #s(literal 10/9 binary32) (*.f32 u1 u1))))
(+ (log 1/4) (+ (* -4 (log (/ 1 u1))) (+ (* 4/3 (/ 1 u1)) (+ (* 172/81 (/ 1 (pow u1 3))) (/ 10/9 (pow u1 2))))))
(+.f32 (+.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1)) (/.f32 #s(literal 4/3 binary32) u1)) (+.f32 (+.f32 (/.f32 #s(literal 10/9 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 172/81 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 #s(literal 1/4 binary32))))
(+ (log 1/4) (* -4 (log (/ -1 u1))))
(+.f32 (log.f32 #s(literal 1/4 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -4 binary32)))
(+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (* 4/3 (/ 1 u1))))
(+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -4 binary32)) (+.f32 (log.f32 #s(literal 1/4 binary32)) (/.f32 #s(literal 4/3 binary32) u1)))
(+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (+ (* 4/3 (/ 1 u1)) (/ 10/9 (pow u1 2)))))
(+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -4 binary32)) (+.f32 (log.f32 #s(literal 1/4 binary32)) (+.f32 (/.f32 #s(literal 4/3 binary32) u1) (/.f32 #s(literal 10/9 binary32) (*.f32 u1 u1)))))
(+ (log 1/4) (+ (* -4 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 10/9 (* 172/81 (/ 1 u1))) u1)) 4/3) u1))))
(-.f32 (+.f32 (log.f32 #s(literal 1/4 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -4 binary32))) (/.f32 (-.f32 #s(literal -4/3 binary32) (/.f32 (+.f32 #s(literal 10/9 binary32) (/.f32 #s(literal 172/81 binary32) u1)) u1)) u1))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1/3 (* 1/4 u1))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(* 1/3 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 2) (+ 1/3 (* 1/4 u1)))
(*.f32 (*.f32 u1 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 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 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 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 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 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 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 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* -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 u1 (-.f32 #s(literal 0 binary32) (*.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 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))

eval166.0ms (1.2%)

Memory
14.1MiB live, 242.8MiB allocated
Compiler

Compiled 36 028 to 3 969 computations (89% saved)

prune368.0ms (2.7%)

Memory
-25.0MiB live, 389.2MiB allocated
Pruning

65 alts after pruning (58 fresh and 7 done)

PrunedKeptTotal
New95020970
Fresh123850
Picked325
Done055
Total965651 030
Accuracy
100.0%
Counts
1 030 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
66.7%
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
74.2%
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
93.5%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
4.1%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
84.8%
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
77.8%
(*.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)) #s(literal 1 binary32))
88.5%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 11/12 binary32) (*.f32 u1 #s(literal 5/6 binary32)))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.f32 (pow.f32 (*.f32 u1 (exp.f32 (log.f32 (*.f32 (*.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))))))) (+.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)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.7%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.1%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.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)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.9%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
94.1%
(*.f32 (*.f32 (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.3%
(*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (log.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 2 binary32))) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (log.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 2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.1%
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.1%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.3%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.9%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1))) u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.1%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
94.1%
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
77.6%
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
51.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.5%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.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)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.3%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 u1 (*.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))))) (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.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)) (*.f32 (*.f32 u1 u1) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.2%
(*.f32 (sqrt.f32 (-.f32 u1 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.6%
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
77.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) #s(literal 1 binary32))
94.2%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) u1))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) u1)))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
77.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
94.2%
(*.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
84.8%
(*.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 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
92.5%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.4%
(*.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))))))) #s(literal 1 binary32))
88.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
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 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.4%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
53.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) #s(literal 2 binary32)))
50.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.1%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
86.8%
(*.f32 (exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 #s(literal 1/4 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
82.8%
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
77.1%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.1%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
77.8%
(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)))))))))
46.7%
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
66.8%
(sqrt.f32 u1)
65.8%
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
Compiler

Compiled 4 807 to 1 711 computations (64.4% saved)

regimes377.0ms (2.8%)

Memory
20.0MiB live, 365.6MiB allocated
Counts
104 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
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(*.f32 (exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 #s(literal 1/4 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 u1 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (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)))
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.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 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.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)) (*.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))))) (sqrt.f32 (-.f32 u1 (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.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)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal -3 binary32)) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (pow.f32 (*.f32 u1 (exp.f32 (log.f32 (*.f32 (*.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))))))) (+.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)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (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 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) 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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (-.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (log.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 2 binary32))) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (log.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 2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1)))))))) (*.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)))) (*.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1))))))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.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 u1 (*.f32 u1 u1)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

53.0ms
(-.f32 #s(literal 1 binary32) u1)
49.0ms
u2
37.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
35.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
34.0ms
u1
Results
AccuracySegmentsBranch
99.1%1cosTheta_i
99.1%1u1
99.1%1u2
99.1%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.1%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.1%1(-.f32 #s(literal 1 binary32) u1)
99.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes301.0ms (2.2%)

Memory
-4.1MiB live, 201.4MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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 -5/3 binary32))))))) (cos.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))))))) (cos.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) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.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))))))))) (cos.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)) (cos.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 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.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)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 11/12 binary32) (*.f32 u1 #s(literal 5/6 binary32)))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.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 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) u1))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1))) u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))) (cos.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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 (*.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))))))) (+.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) u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) u1)))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (cos.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 (*.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 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) 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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.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)) (*.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)))) (-.f32 u1 (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.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) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 u1 u1))) (+.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)) (*.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))) (-.f32 (*.f32 u1 u1) (*.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 u1 (*.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))))) (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.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)) (*.f32 (*.f32 u1 u1) (*.f32 (+.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 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

68.0ms
(-.f32 #s(literal 1 binary32) u1)
52.0ms
u2
49.0ms
cosTheta_i
45.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms
u1
Results
AccuracySegmentsBranch
94.6%1cosTheta_i
98.4%2u1
98.3%2u2
98.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.4%2(-.f32 #s(literal 1 binary32) u1)
98.3%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes92.0ms (0.7%)

Memory
-20.4MiB live, 59.8MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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 -5/3 binary32))))))) (cos.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))))))) (cos.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) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

5 calls:

19.0ms
(-.f32 #s(literal 1 binary32) u1)
11.0ms
u1
11.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
98.3%2u1
98.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.3%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes253.0ms (1.9%)

Memory
8.5MiB live, 123.7MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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 -5/3 binary32))))))) (cos.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))))))) (cos.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) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

8 calls:

71.0ms
u2
64.0ms
u1
63.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
(-.f32 #s(literal 1 binary32) u1)
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
97.9%2u2
97.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
97.9%2u1
97.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.9%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes88.0ms (0.6%)

Memory
15.8MiB live, 54.0MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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 -5/3 binary32))))))) (cos.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

3 calls:

64.0ms
u2
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
97.9%2u2
97.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes164.0ms (1.2%)

Memory
7.1MiB live, 238.1MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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 -5/3 binary32))))))) (cos.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))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

9 calls:

76.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
cosTheta_i
11.0ms
u1
11.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
89.0%1cosTheta_i
97.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.3%2(-.f32 #s(literal 1 binary32) u1)
97.3%2u1
97.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.3%2u2
97.3%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes91.0ms (0.7%)

Memory
-11.2MiB live, 147.3MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

8 calls:

17.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
16.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms
u1
9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
95.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.0%2(-.f32 #s(literal 1 binary32) u1)
95.0%2u1
95.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.4%2u2
95.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
95.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes79.0ms (0.6%)

Memory
21.5MiB live, 177.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
Calls

9 calls:

12.0ms
u2
9.0ms
u1
9.0ms
(-.f32 #s(literal 1 binary32) u1)
8.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
84.8%1cosTheta_i
91.6%2u1
91.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
91.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
91.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
91.6%2(-.f32 #s(literal 1 binary32) u1)
92.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
92.1%2u2
92.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes102.0ms (0.8%)

Memory
-8.9MiB live, 109.4MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32)))) (cos.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)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u1 u1))))
(*.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)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

9 calls:

26.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
25.0ms
u1
9.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms
u2
Results
AccuracySegmentsBranch
84.8%1cosTheta_i
84.8%1u1
84.8%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
84.8%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
84.8%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
84.8%1(-.f32 #s(literal 1 binary32) u1)
84.8%1u2
84.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
84.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes23.0ms (0.2%)

Memory
15.0MiB live, 53.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
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 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

5 calls:

5.0ms
u2
4.0ms
cosTheta_i
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u1
4.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
84.8%1u1
84.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.8%1u2
84.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
84.8%1cosTheta_i
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes27.0ms (0.2%)

Memory
-12.0MiB live, 67.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
Calls

5 calls:

7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms
u2
4.0ms
cosTheta_i
4.0ms
u1
Results
AccuracySegmentsBranch
77.8%1u1
77.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
77.8%1u2
77.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
77.8%1cosTheta_i
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes10.0ms (0.1%)

Memory
-13.2MiB live, 25.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
(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)))))))))
Outputs
(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)))))))))
Calls

3 calls:

3.0ms
u2
3.0ms
cosTheta_i
3.0ms
u1
Results
AccuracySegmentsBranch
77.8%1u1
77.8%1cosTheta_i
77.8%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory
28.6MiB live, 28.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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))))))) #s(literal 1 binary32))
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))))))) #s(literal 1 binary32))
Calls

3 calls:

3.0ms
cosTheta_i
3.0ms
u2
3.0ms
u1
Results
AccuracySegmentsBranch
76.4%1cosTheta_i
76.4%1u1
76.4%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-13.7MiB live, 25.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
Calls

3 calls:

3.0ms
u1
2.0ms
u2
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
74.0%1cosTheta_i
74.0%1u1
74.0%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory
18.8MiB live, 18.8MiB allocated
Accuracy

Total -20.2b remaining (-190.3%)

Threshold costs -20.2b (-190.3%)

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

3 calls:

2.0ms
u1
2.0ms
u2
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
66.8%1cosTheta_i
66.8%1u1
66.8%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9504320025444031
0.9506201148033142
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9504320025444031
0.9506201148033142
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
0.03993391618132591
0.04028273746371269
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch7.0ms (0.1%)

Memory
-42.4MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
7.0ms
0.03993391618132591
0.04028273746371269
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
0.9990984797477722
0.9991887807846069
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
0.0012752993497997522
0.0016599125228822231
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
0.9999657273292542
0.9999714493751526
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.1%)

Memory
2.0MiB live, 40.8MiB allocated
Algorithm
egg-herbie
Rules
76×*-commutative_binary32
28×+-commutative_binary32
*-rgt-identity_binary32
sub-neg_binary32
neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089400
1147400
2152400
3154400
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1993343/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1993343/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16762117/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776713/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 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 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1993343/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1993343/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (+.f32 u1 (*.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))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1993343/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1993343/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (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)))))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16762117/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16762117/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6442451/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776713/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776713/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 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 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (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 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(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 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)

soundness1.2s (9%)

Memory
47.9MiB live, 1 470.2MiB allocated
Rules
12 092×accelerator-lowering-fma.f32
12 092×accelerator-lowering-fma.f64
9 722×accelerator-lowering-fma.f32
9 722×accelerator-lowering-fma.f64
8 904×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06424992
119754533
262864513
080194189
055250
1303250
22566250
09873195
06326090
119785351
261485330
080495007
03061849
19111570
229181447
371351410
083881352
01339
15639
231139
3233337
0863629
09829340
131228053
087537532
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 195 to 723 computations (39.5% saved)

preprocess78.0ms (0.6%)

Memory
3.3MiB live, 239.2MiB allocated
Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1 138 to 460 computations (59.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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