Beckmann Sample, near normal, slope_x

Time bar (total: 13.9s)

analyze544.0ms (3.9%)

Algorithm
1×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 39 to 27 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 339.0ms
...c/correct-round.rkt:119:19: 64.0ms (18.9% of total)
ival-log: 48.0ms (14.2% of total)
ival-cos: 47.0ms (13.9% of total)
ival-sub: 43.0ms (12.7% of total)
ival-mult: 37.0ms (10.9% of total)
ival-<=: 34.0ms (10% of total)
ival-pi: 20.0ms (5.9% of total)
ival-sqrt: 14.0ms (4.1% of total)
ival-and: 12.0ms (3.5% of total)
ival-neg: 10.0ms (2.9% of total)
ival->: 8.0ms (2.4% of total)
const: 2.0ms (0.6% of total)
backward-pass: 1.0ms (0.3% of total)

sample2.1s (15.5%)

Results
1.7s8256×0valid
1.0ms8×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.3s
...c/correct-round.rkt:119:19: 324.0ms (25% of total)
ival-mult: 236.0ms (18.2% of total)
ival-log: 169.0ms (13% of total)
ival-<=: 131.0ms (10.1% of total)
ival-cos: 117.0ms (9% of total)
ival-sqrt: 63.0ms (4.9% of total)
ival-sub: 62.0ms (4.8% of total)
ival-and: 53.0ms (4.1% of total)
ival-pi: 50.0ms (3.9% of total)
ival-neg: 43.0ms (3.3% of total)
ival->: 36.0ms (2.8% of total)
const: 9.0ms (0.7% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess84.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
1672×fma-define
1668×fnmadd-define
1174×sum3-define
716×fmsub-define
668×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042135
199121
2191121
3344121
4617121
51232121
61708121
72334121
83912121
94671121
104762121
114776121
124788121
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
Stop Event
1×iter limit
1×saturated
1×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 (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(fnmsub (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))) 0)
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (cos (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(abs u2)

explain153.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2077(0.999974250793457 0.00018805265426635742 0.012652772478759289)2(0.9999341368675232 0.011383432894945145 8.276959562181219e-8)(log.f32 (-.f32 #s(literal 1 binary32) u1))
10-1(0.9999316930770874 6.948447150989523e-9 0.7455451488494873)(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))
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-u1
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-u2
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-(-.f32 #s(literal 1 binary32) u1)
Results
98.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-log: 13.0ms (30.6% of total)
ival-mult: 10.0ms (23.6% of total)
ival-cos: 7.0ms (16.5% of total)
ival-sqrt: 4.0ms (9.4% of total)
ival-sub: 3.0ms (7.1% of total)
ival-neg: 3.0ms (7.1% of total)
ival-pi: 2.0ms (4.7% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Rules
40×sum3-define
40×*-lowering-*.f32
40×*-lowering-*.f64
32×+-lowering-+.f64
32×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01444
12944
24444
35644
47544
59544
611244
712744
812844
012844
Stop Event
1×iter limit
1×saturated
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) u2)
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(* 2 (* (PI) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize62.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.6%
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
Results
48.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 7.0ms (24.2% of total)
compiled-spec: 7.0ms (24.2% of total)
ival-log: 4.0ms (13.8% of total)
ival-cos: 3.0ms (10.4% of total)
ival-neg: 3.0ms (10.4% of total)
ival-add: 2.0ms (6.9% of total)
ival-sqrt: 2.0ms (6.9% of total)
ival-pi: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.3%)

Counts
6 → 84
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 (* (PI) u2)>
#<alt (cos (* 2 (* (PI) u2)))>
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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 1>
#<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
31.0ms
u2
@inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
3.0ms
u1
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
2.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
2.0ms
u1
@inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
1.0ms
u1
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))

rewrite245.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1882×sum5-define
1822×*-lowering-*.f32
1822×*-lowering-*.f64
1294×sum4-define
1200×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433
16933
241933
3370933
0826733
Stop Event
1×iter limit
1×node limit
Counts
6 → 203
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)))
(* (PI) u2)
(cos (* 2 (* (PI) u2)))
Outputs
(+.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)))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (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)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (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)) (-.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 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))
(/.f32 (*.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))))) #s(literal 1 binary32))
(/.f32 (*.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))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (+.f32 (pow.f32 (cos.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 #s(literal 1 binary32) (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))) #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 (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 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.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)) (+.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))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (*.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 1/4 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/4 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 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
(+.f32 (log1p.f32 u1) (-.f32 #s(literal 0 binary32) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 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 (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.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 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (-.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (log.f32 (neg.f32 (+.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 (neg.f32 u1) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (neg.f32 (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)))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.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 (*.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 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (log1p.f32 (neg.f32 u1))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))
(-.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 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 (*.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)))))) (log1p.f32 (*.f32 u1 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 (neg.f32 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 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))))
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(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.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 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) (neg.f32 (-.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 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(fma.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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (neg.f32 (-.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 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.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 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))) (/.f32 (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 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(*.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 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #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))))
(*.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))))

simplify266.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
5686×*-lowering-*.f32
5686×*-lowering-*.f64
3272×+-lowering-+.f64
3272×+-lowering-+.f32
2386×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03061745
19821425
234811308
080341308
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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
(* (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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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)))))))))
(+.f32 (*.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/6 binary32)) #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 (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 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 u1 #s(literal -1/2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))))
(* (* (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 (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)))) (/.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 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
(+ (* -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 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.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 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) 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 (neg.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) u1))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (neg.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #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 (neg.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 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (+.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 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.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 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 u2 u2)) (*.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 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 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 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (*.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 -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 (*.f32 #s(literal -1/2 binary32) (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 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1)))))
(+ (* -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 (*.f32 #s(literal -1/2 binary32) (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 (neg.f32 (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 #s(literal -1/2 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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1))) 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 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (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))
(* -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 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#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 (*.f32 u2 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))))

eval32.0ms (0.2%)

Compiler

Compiled 7769 to 1324 computations (83% saved)

prune72.0ms (0.5%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New25532287
Fresh000
Picked011
Done000
Total25533288
Accuracy
99.8%
Counts
288 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.9%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶99.1%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.9%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
53.3%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
99.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
54.9%
(*.f32 (sqrt.f32 (-.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶54.2%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.7%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.9%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.8%
(*.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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
89.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
51.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.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)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
90.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶51.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
96.4%
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
91.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)))))))))
88.7%
(*.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)))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
▶98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
53.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
78.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Compiler

Compiled 2003 to 1225 computations (38.8% saved)

simplify157.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓cost-diff3296
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
✓cost-diff6528
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
✓cost-diff0
(sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))
✓cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff64
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓cost-diff64
(log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff32
(+.f32 (neg.f32 u1) #s(literal -1 binary32))
✓cost-diff128
(/.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
✓cost-diff160
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))))
✓cost-diff0
(neg.f32 u1)
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓cost-diff0
(neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))
✓cost-diff0
(sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff6464
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u1)))
Rules
1938×*-lowering-*.f32
1938×*-lowering-*.f64
1398×fnmsub-define
1278×times-frac
1192×sum5-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
050401
1118365
2237295
3470292
4853292
51754291
65896291
08224291
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1)))))
(/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))
(neg (pow (log (+ 1 (neg u1))) 2))
(pow (log (+ 1 (neg u1))) 2)
(log (+ 1 (neg u1)))
(neg u1)
u1
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1
(* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))
(sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1))))))
(neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))
(- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1))))
0
(log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))
(/ (+ (neg u1) -1) (+ (* u1 u1) -1))
(+ (neg u1) -1)
(neg u1)
u1
-1
(+ (* u1 u1) -1)
(* u1 u1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))
(sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1)))))))
(- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))
(log (* 1 (+ 1 (* u1 (+ 1 u1)))))
(* 1 (+ 1 (* u1 (+ 1 u1))))
1
(+ 1 (* u1 (+ 1 u1)))
(* u1 (+ 1 u1))
u1
(+ 1 u1)
(log (+ 1 (* u1 (- 0 (* u1 u1)))))
(* u1 (- 0 (* u1 u1)))
(- 0 (* u1 u1))
0
(* u1 u1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
2
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(pow (PI) 1/3)
(PI)
1/3
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* u2 (pow (PI) 1/3))
u2
Outputs
(* (sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1)))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg (pow (log (+ 1 (neg u1))) 2))
(neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 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)
(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))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg (log (+ 1 (neg u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1))))
(log1p.f32 (neg.f32 u1))
0
#s(literal 0 binary32)
(log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/ (+ (neg u1) -1) (+ (* u1 u1) -1))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(+ (neg u1) -1)
(-.f32 #s(literal -1 binary32) u1)
(neg u1)
(neg.f32 u1)
u1
-1
#s(literal -1 binary32)
(+ (* u1 u1) -1)
(+.f32 #s(literal -1 binary32) (*.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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1)))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(log (* 1 (+ 1 (* u1 (+ 1 u1)))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* 1 (+ 1 (* u1 (+ 1 u1))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(+ 1 (* u1 (+ 1 u1)))
(+.f32 #s(literal 1 binary32) (*.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)
(log (+ 1 (* u1 (- 0 (* u1 u1)))))
(log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* u1 (- 0 (* u1 u1)))
(-.f32 #s(literal 0 binary32) (*.f32 u1 (*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg (log (+ 1 (neg u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(*.f32 (PI.f32) u2)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(PI)
(PI.f32)
1/3
#s(literal 1/3 binary32)
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(* u2 (pow (PI) 1/3))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
u2

localize596.0ms (4.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓accuracy99.1%
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
✓accuracy99.1%
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
✓accuracy83.9%
(PI.f32)
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 (PI.f32) u2)
✓accuracy83.9%
(PI.f32)
✓accuracy66.5%
(log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓accuracy99.6%
(/.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
✓accuracy99.1%
(*.f32 (PI.f32) u2)
✓accuracy83.9%
(PI.f32)
✓accuracy66.4%
(log.f32 (/.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))))
✓accuracy100.0%
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓accuracy100.0%
(neg.f32 u1)
✓accuracy100.0%
(log1p.f32 (neg.f32 u1))
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.1%
(*.f32 (PI.f32) u2)
✓accuracy98.8%
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
✓accuracy98.8%
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u1)))
✓accuracy83.9%
(PI.f32)
Results
191.0ms44×5exit
139.0ms134×0valid
133.0ms67×1valid
32.0ms11×2valid
Compiler

Compiled 464 to 50 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
backward-pass: 52.0ms (20.2% of total)
ival-mult: 48.0ms (18.7% of total)
ival-log: 31.0ms (12% of total)
ival-pow: 30.0ms (11.7% of total)
compiled-spec: 29.0ms (11.3% of total)
ival-add: 13.0ms (5.1% of total)
ival-cos: 11.0ms (4.3% of total)
ival-sqrt: 11.0ms (4.3% of total)
ival-sub: 9.0ms (3.5% of total)
ival-neg: 8.0ms (3.1% of total)
ival-div: 7.0ms (2.7% of total)
...c/correct-round.rkt:119:19: 7.0ms (2.7% of total)
const: 2.0ms (0.8% of total)
ival-pi: 2.0ms (0.8% of total)

series111.0ms (0.8%)

Counts
26 → 348
Calls
Call 1
Inputs
#<alt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))>
#<alt (* (sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1)))))>
#<alt (neg (pow (log (+ 1 (neg u1))) 2))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (neg u1)>
#<alt (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1))))>
#<alt (/ (+ (neg u1) -1) (+ (* u1 u1) -1))>
#<alt (+ (neg u1) -1)>
#<alt (* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))>
#<alt (log (* 1 (+ 1 (* u1 (+ 1 u1)))))>
#<alt (* 1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* (sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1)))))))>
#<alt (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))>
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))>
#<alt (PI)>
#<alt (pow (log (+ 1 (neg u1))) 2)>
#<alt (* (PI) u2)>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u2 (pow (PI) 1/3))>
Outputs
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 u1))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -1 (+ (log -1) (* -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 (* (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 (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* -1 u1) 1))>
#<alt (* (pow u1 2) (- (* u1 (- (* -11/12 u1) 1)) 1))>
#<alt (* (pow u1 2) (- (* u1 (- (* u1 (- (* -5/6 u1) 11/12)) 1)) 1))>
#<alt (* -1 (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 (- (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))) (pow u1 2))) (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))>
#<alt (- (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ 1 u1)))))) (pow u1 3))) (+ (* -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 (* -1 (pow (log (/ -1 u1)) 2))>
#<alt (- (* -2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (- (* -1 (/ (- (+ (/ 1 u1) (/ (log (/ -1 u1)) u1)) (* -2 (log (/ -1 u1)))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (* -2/3 (log (/ -1 u1)))) u1)) (+ 1 (log (/ -1 u1)))) u1)) (* -2 (log (/ -1 u1)))) u1)) (pow (log (/ -1 u1)) 2))>
#<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)))>
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#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* (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 (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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 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 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 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 (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
#<alt (* u2 (cbrt (PI)))>
Calls

87 calls:

TimeVariablePointExpression
50.0ms
u2
@inf
(* (sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))
25.0ms
u2
@inf
(* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))
3.0ms
u2
@-inf
(* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))
2.0ms
u2
@0
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
2.0ms
u2
@0
(* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))

rewrite292.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
2314×*-lowering-*.f32
2314×*-lowering-*.f64
1274×+-lowering-+.f64
1274×+-lowering-+.f32
1266×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050230
1279134
22168119
09494119
Stop Event
1×iter limit
1×node limit
Counts
26 → 1033
Calls
Call 1
Inputs
(/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))
(* (sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (/ (neg (pow (log (+ 1 (neg u1))) 2)) (log (+ 1 (neg u1)))))
(neg (pow (log (+ 1 (neg u1))) 2))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(log (+ 1 (neg u1)))
(neg u1)
(- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1))))
(/ (+ (neg u1) -1) (+ (* u1 u1) -1))
(+ (neg u1) -1)
(* (sqrt (neg (- 0 (log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))))) (cos (* 2 (* (PI) u2))))
(log (* 1 (+ 1 (* u1 (+ 1 u1)))))
(* 1 (+ 1 (* u1 (+ 1 u1))))
(* (sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1))))))) (cos (* 2 (* (PI) u2))))
(sqrt (- (log (* 1 (+ 1 (* u1 (+ 1 u1))))) (log (+ 1 (* u1 (- 0 (* u1 u1)))))))
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))
(PI)
(pow (log (+ 1 (neg u1))) 2)
(* (PI) u2)
(neg (log (+ 1 (neg u1))))
(log (/ (+ (neg u1) -1) (+ (* u1 u1) -1)))
(* u1 (+ 1 u1))
(* u2 (pow (PI) 1/3))
Outputs
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal -1 binary32)))
(+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(+.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) (log.f32 (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))) (log1p.f32 (*.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 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 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 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.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)))) #s(literal -1 binary32))
(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))))) (*.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 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 0 binary32))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
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(/.f32 #s(literal 1 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 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.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))))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.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))) (+.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 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32))) (+.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 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)) (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 2 binary32)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.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 #s(literal 0 binary32) (log1p.f32 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 (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 #s(literal 0 binary32) (log1p.f32 u1))) (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 (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)))) (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 (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))))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) (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 (+.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 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)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #s(literal 2 binary32))) (log.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1 binary32)) (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal -1 binary32)) (log1p.f32 u1))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (log1p.f32 u1)) (*.f32 (log1p.f32 u1) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1)) (*.f32 (log1p.f32 u1) (/.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (log1p.f32 u1))) (log1p.f32 u1)) (*.f32 (log1p.f32 u1) (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (*.f32 (log1p.f32 u1) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32)))) (*.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (*.f32 (log1p.f32 u1) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.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)))))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) (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))))) (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 2 binary32)))) (*.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))))) (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 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.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))) (/.f32 #s(literal 1 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 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(*.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 #s(literal 0 binary32) (log1p.f32 u1))) (/.f32 #s(literal 1 binary32) (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)))))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 u1 (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) u1)
(+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) (*.f32 u1 u1)))
(+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (neg.f32 u1) u1 (*.f32 u1 u1)))
(+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) (neg.f32 u1) (*.f32 u1 u1)))
(+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 u1) #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 (fma.f32 #s(literal 1 binary32) u1 (neg.f32 (*.f32 u1 (*.f32 (neg.f32 u1) #s(literal -1 binary32))))) (fma.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) #s(literal -1 binary32)) (*.f32 u1 (*.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(+.f32 (fma.f32 u1 #s(literal 1 binary32) (neg.f32 (*.f32 u1 (*.f32 (neg.f32 u1) #s(literal -1 binary32))))) (fma.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) #s(literal -1 binary32)) (*.f32 u1 (*.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1)
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
(fma.f32 #s(literal -1 binary32) (*.f32 u1 u1) u1)
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 u1)
(-.f32 u1 (*.f32 u1 u1))
(/.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))

simplify380.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5608×*-lowering-*.f32
5608×*-lowering-*.f64
3240×+-lowering-+.f64
3240×+-lowering-+.f32
1588×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07137193
123765893
083195893
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 u1))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -1 (+ (log -1) (* -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)))
(* (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))))))))
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(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
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(+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* -1 (pow u1 3)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* -1 (pow u1 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* -1 (pow u1 3)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (* -1 (pow u1 3)))))))))))))
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(+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))))
(sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -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))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(pow (log (/ -1 u1)) 2)
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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 (+ (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))))
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)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
Outputs
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)))))
(neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 u1))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 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)) (neg.f32 u1))) u1))
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(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1))) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 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)) (neg.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 #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (/ 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 #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))
(* u2 (cbrt (PI)))
(*.f32 u2 (cbrt.f32 (PI.f32)))

eval505.0ms (3.6%)

Compiler

Compiled 61669 to 6688 computations (89.2% saved)

prune387.0ms (2.8%)

Pruning

47 alts after pruning (45 fresh and 2 done)

PrunedKeptTotal
New2112252137
Fresh72027
Picked415
Done011
Total2123472170
Accuracy
99.9%
Counts
2170 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
76.5%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.7%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
87.4%
(*.f32 (/.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)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
49.4%
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
90.1%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
75.7%
(*.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 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
93.9%
(*.f32 (sqrt.f32 (/.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)))))))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
88.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1)))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.9%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.6%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 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)))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
89.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
99.0%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
72.5%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1))))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.9%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
89.3%
(*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
72.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))
99.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶74.3%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
53.9%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
54.9%
(*.f32 (sqrt.f32 (-.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
98.7%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶98.9%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶94.8%
(*.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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
77.6%
(*.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))))))))) #s(literal 1 binary32))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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))
89.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
90.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
79.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
▶99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
88.7%
(*.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)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))))))
✓99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
78.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
65.2%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶5.4%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
46.9%
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
Compiler

Compiled 2767 to 1644 computations (40.6% saved)

simplify322.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))
✓cost-diff0
(sqrt.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1)))))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff6592
(*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(log1p.f32 u1)
✓cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
✓cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff32
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
✓cost-diff64
(*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓cost-diff128
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
✓cost-diff3392
(-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
Rules
5012×+-lowering-+.f64
5012×+-lowering-+.f32
2480×*-lowering-*.f32
2480×*-lowering-*.f64
2334×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058585
1156550
2456510
31961492
08635492
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
1/2
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(cos (* 2 (* 2 (* (PI) u2))))
(* 2 (* 2 (* (PI) u2)))
2
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))
(+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(- 1 (cos (* 2 (* (PI) u2))))
1
(cos (* 2 (* (PI) u2)))
-2
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))
(* -1/2 (cos (* 2 (* (PI) u2))))
-1/2
(- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))
(* -1 (sqrt u1))
-1
(sqrt u1)
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) u2)
(PI)
u2
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1)))))
(- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))
(log (+ 1 u1))
u1
(log (+ 1 (* u1 u1)))
(* u1 u1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))) (cos (* 2 (* (PI) u2))))
(sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1))))))
(* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))
(neg (pow (log (+ 1 (neg u1))) 2))
(pow (log (+ 1 (neg u1))) 2)
(log (+ 1 (neg u1)))
(neg u1)
u1
2
(/ 1 (log (+ 1 (neg u1))))
1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32)))))) (*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32)))))) (*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
(- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32)))))) (*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32))))))
1/2
#s(literal 1/2 binary32)
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32)))))
(cos (* 2 (* 2 (* (PI) u2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32))))
(* 2 (* 2 (* (PI) u2)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 4 binary32)))
2
#s(literal 2 binary32)
(* 2 (* (PI) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))
(*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32))) (+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32))))
(+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32)))
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal 2 binary32)))
(- 1 (cos (* 2 (* (PI) u2))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
1
#s(literal 1 binary32)
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
-2
#s(literal -2 binary32)
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32)))
(* -1/2 (cos (* 2 (* (PI) u2))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
(- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))
(+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) #s(literal -2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
-1
#s(literal -1 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 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 (* 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 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* 2 (* (PI) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))) (cos (* 2 (* (PI) u2))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (+ 1 (* u1 u1)))
(log1p.f32 (*.f32 u1 u1))
(* 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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(neg (pow (log (+ 1 (neg u1))) 2))
(neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 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 (log (+ 1 (neg u1))))
(/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1)))
1
#s(literal 1 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))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize982.0ms (7.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1)))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy98.9%
(*.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))
✓accuracy98.8%
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
✓accuracy99.6%
(log1p.f32 (*.f32 u1 u1))
✓accuracy99.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy99.4%
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy99.2%
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
✓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 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy100.0%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy36.6%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓accuracy36.5%
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Results
830.0ms256×1valid
Compiler

Compiled 711 to 57 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 615.0ms
backward-pass: 196.0ms (31.9% of total)
ival-mult: 140.0ms (22.8% of total)
compiled-spec: 63.0ms (10.2% of total)
...c/correct-round.rkt:119:19: 56.0ms (9.1% of total)
ival-add: 30.0ms (4.9% of total)
ival-log: 30.0ms (4.9% of total)
ival-div: 29.0ms (4.7% of total)
ival-cos: 19.0ms (3.1% of total)
ival-sqrt: 19.0ms (3.1% of total)
ival-sub: 11.0ms (1.8% of total)
ival-neg: 9.0ms (1.5% of total)
ival-pow: 7.0ms (1.1% of total)
const: 3.0ms (0.5% of total)
ival-pi: 2.0ms (0.3% of total)

series89.0ms (0.6%)

Counts
27 → 372
Calls
Call 1
Inputs
#<alt (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))>
#<alt (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))>
#<alt (* 2 (* 2 (* (PI) u2)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))>
#<alt (* -1 (sqrt u1))>
#<alt (sqrt 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)) (log (+ 1 (* u1 u1))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1)))))>
#<alt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))>
#<alt (log (+ 1 u1))>
#<alt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))>
#<alt (* (sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1))))))>
#<alt (neg (pow (log (+ 1 (neg u1))) 2))>
#<alt (- 1 (cos (* 2 (* (PI) u2))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))>
#<alt (* (PI) u2)>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (log (+ 1 (* u1 u1)))>
#<alt (pow (log (+ 1 (neg u1))) 2)>
#<alt (/ 1 (log (+ 1 (neg u1))))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow u2 2) (- (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (- (* 2/3 (pow (PI) 4)) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (- (* -4/45 (pow (PI) 6)) (+ (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))))) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))>
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))) (pow (PI) 2))))>
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))))) (pow (PI) 2))))>
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (+ (* 2/45 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/315 (pow (PI) 8)) (* 1/315 (pow (PI) 8)))))))))) (pow (PI) 2))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))) (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))) (* -1/6 (* (sqrt u1) (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))))))>
#<alt (+ (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))))))))>
#<alt (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (* u1 (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)))) (* (pow u1 2) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (* u1 (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -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))))))) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)))) (* (pow u1 3) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)))) (* (pow u1 2) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (* u1 (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (/ (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))>
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#<alt 1>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (- (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* 16/3 (pow (PI) 4)))) (+ (* 2/3 (pow (PI) 4)) (+ (* (- (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2))))) (pow (PI) 2)))) (* -2 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (- (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (+ (* 16/3 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -128/45 (pow (PI) 6)) (+ (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))) (+ (* -4/45 (pow (PI) 6)) (+ (* 2 (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4))))) (+ (* (- (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (- (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* 16/3 (pow (PI) 4)))) (+ (* 2/3 (pow (PI) 4)) (+ (* (- (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2))))) (* (- (* 2/3 (pow (PI) 4)) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))))))))))) (+ (* 2/3 (pow (PI) 4)) (+ (* (- (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2))))) (pow (PI) 2)))) (* -2 (pow (PI) 2)))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2)) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))))>
#<alt (* 1/3 u1)>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/2 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 2)>
#<alt (* (pow u1 2) (+ 1 (* -1/2 (pow u1 2))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (- (* 1/3 (pow u1 2)) 1/2))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1/3 (* -1/4 (pow u1 2)))) 1/2))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2))) (/ 1/2 (pow u1 4)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6))))) (/ 1/2 (pow u1 4)))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 (pow u1 2)))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (/ 1 (pow u1 2))) (/ 1/2 (pow u1 4)))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6))))) (/ 1/2 (pow u1 4)))>
#<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 (/ (- (* 1/2 u1) 1) u1)>
#<alt (/ (- (* u1 (+ 1/2 (* 1/12 u1))) 1) u1)>
#<alt (/ (- (* u1 (+ 1/2 (* u1 (+ 1/12 (* 1/24 u1))))) 1) u1)>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (* 1/2 (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (+ (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (- (+ (/ 1/3 (* (pow u1 3) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (/ 1/2 (* (pow u1 3) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (* 1/2 (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (+ (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (* (pow u1 3) (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (/ -1 (log (/ -1 u1)))>
#<alt (- (/ 1 (* u1 (pow (log (/ -1 u1)) 2))) (/ 1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (/ 1 (pow (log (/ -1 u1)) 3))) u1)) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (/ 1 (pow (log (/ -1 u1)) 3))) (log (/ -1 u1)))) (* 1/3 (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2)))) (/ 1 (pow (log (/ -1 u1)) 3))) u1)) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1))))>
Calls

93 calls:

TimeVariablePointExpression
30.0ms
u2
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))) (cos (* 2 (* (PI) u2))))
7.0ms
u2
@inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* 2 (* (PI) u2))))
5.0ms
u2
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))
3.0ms
u2
@0
(/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
2.0ms
u2
@inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))

rewrite407.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3214×fma-lowering-fma.f32
3214×fma-lowering-fma.f64
2044×*-lowering-*.f32
2044×*-lowering-*.f64
1938×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058381
1365269
23530266
08098266
Stop Event
1×iter limit
1×node limit
Counts
27 → 384
Calls
Call 1
Inputs
(- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))
(+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))
(* 2 (* 2 (* (PI) u2)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))
(* -1 (sqrt u1))
(sqrt 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)) (log (+ 1 (* u1 u1))))) (cos (* 2 (* (PI) u2))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 u1)))))
(- (log (+ 1 u1)) (log (+ 1 (* u1 u1))))
(log (+ 1 u1))
(* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))
(* (sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1)))))) (cos (* 2 (* (PI) u2))))
(sqrt (* (neg (pow (log (+ 1 (neg u1))) 2)) (/ 1 (log (+ 1 (neg u1))))))
(neg (pow (log (+ 1 (neg u1))) 2))
(- 1 (cos (* 2 (* (PI) u2))))
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))
(* (PI) u2)
(/ (- (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) (* (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(* u1 (+ 1/3 (* u1 1/4)))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(log (+ 1 (* u1 u1)))
(pow (log (+ 1 (neg u1))) 2)
(/ 1 (log (+ 1 (neg u1))))
Outputs
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))
(+.f32 (neg.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(+.f32 (+.f32 (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(+.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32))))))
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(*.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))
(+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 #s(literal 1/3 binary32)))
(+.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 u1 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1/3 binary32) u1 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 #s(literal 1/4 binary32)) u1 (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))) u1) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1) (-.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) u1)
(+.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))
(+.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) u1))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))
(fma.f32 #s(literal 1/2 binary32) u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))
(fma.f32 u1 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))
(fma.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 #s(literal 1/2 binary32) u1))
(fma.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1) (*.f32 #s(literal 1/2 binary32) u1))
(fma.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) u1 (*.f32 #s(literal 1/2 binary32) u1))
(fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 #s(literal 1/2 binary32) u1))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (pow.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 #s(literal 1/2 binary32) u1)) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))) (*.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) (-.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))
(/.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 (+.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 1/4 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)))))
(/.f32 (*.f32 u1 (-.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))))) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) u1) (+.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)))))
(/.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 1/2 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)))))))
(*.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))))) 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 #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)))))) u1)
(log1p.f32 (*.f32 u1 u1))
(-.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 2 binary32))
(*.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (log1p.f32 (neg.f32 u1)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u1))) #s(literal -1 binary32)))
(pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.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)))

simplify452.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
5638×*-lowering-*.f32
5638×*-lowering-*.f64
5212×+-lowering-+.f64
5212×+-lowering-+.f32
1212×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114310762
139259044
087459044
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
1
(+ 1 (* (pow u2 2) (- (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))
(+ 1 (* (pow u2 2) (- (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (- (* 2/3 (pow (PI) 4)) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))
(+ 1 (* (pow u2 2) (- (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (- (* -4/45 (pow (PI) 6)) (+ (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))))) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))) (pow (PI) 2))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))))) (pow (PI) 2))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (+ (* 2/45 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/315 (pow (PI) 8)) (* 1/315 (pow (PI) 8)))))))))) (pow (PI) 2))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI))))))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))) (- (cos (* 2 (* u2 (PI)))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))))))
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(* 1/3 u1)
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(+.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 4 binary32)))))
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6))))) (/ 1/2 (pow u1 4)))
(+.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (/.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 4 binary32)))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32))))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(*.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))))))))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
(pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))
(+.f32 (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) u1))
(+ (* -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))))
(+.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) u1) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -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))))))
(+.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) u1) (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (*.f32 u1 u1))) (+.f32 (/.f32 (*.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal -2/3 binary32)) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))))
(pow (log (/ -1 u1)) 2)
(pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) u1))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) u1)) u1))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(-.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (*.f32 #s(literal 2/3 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1 binary32)) u1)) u1)) u1))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- (* 1/2 u1) 1) u1)
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32)) u1)
(/ (- (* u1 (+ 1/2 (* 1/12 u1))) 1) u1)
(/.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/12 binary32)))) #s(literal -1 binary32)) u1)
(/ (- (* u1 (+ 1/2 (* u1 (+ 1/12 (* 1/24 u1))))) 1) u1)
(/.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/12 binary32) (*.f32 u1 #s(literal 1/24 binary32)))))) #s(literal -1 binary32)) u1)
(/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))))
(+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (* 1/2 (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (+ (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 3 binary32))))))
(- (+ (/ 1/3 (* (pow u1 3) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (/ 1/2 (* (pow u1 3) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (/ 1 (* u1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (* 1/2 (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (+ (/ 1 (* (pow u1 2) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (* (pow u1 3) (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 u1))) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 3 binary32)))))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 3 binary32)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(/ -1 (log (/ -1 u1)))
(/.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (/ 1 (* u1 (pow (log (/ -1 u1)) 2))) (/ 1 (log (/ -1 u1))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (/ 1 (pow (log (/ -1 u1)) 3))) u1)) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1))))
(+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32)))) (neg.f32 u1)) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))) (neg.f32 u1)) (/.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2))) (/ 1 (pow (log (/ -1 u1)) 3))) (log (/ -1 u1)))) (* 1/3 (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (* 1/2 (/ 1 (pow (log (/ -1 u1)) 2)))) (/ 1 (pow (log (/ -1 u1)) 3))) u1)) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1))))
(+.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))) (-.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32)))) u1)) (/.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)))) (neg.f32 u1)) (/.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))

eval218.0ms (1.6%)

Compiler

Compiled 83818 to 4141 computations (95.1% saved)

prune202.0ms (1.5%)

Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New1146281174
Fresh182240
Picked325
Done022
Total1167541221
Accuracy
100.0%
Counts
1221 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
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 -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 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))))))
▶99.1%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.3%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
49.4%
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
90.1%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶74.3%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.0%
(*.f32 (*.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)) (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))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
14.9%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
75.7%
(*.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 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
88.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1)))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.6%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 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)))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
89.3%
(*.f32 (sqrt.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
72.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))
53.9%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
54.9%
(*.f32 (sqrt.f32 (-.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
95.0%
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.7%
(*.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)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
76.5%
(*.f32 (sqrt.f32 (*.f32 (neg.f32 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶94.7%
(*.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 #s(literal 2 binary32) (*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
✓94.8%
(*.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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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))
89.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.7%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.8%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (/.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
90.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
98.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.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))) (neg.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (+.f32 (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (fma.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)) (-.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal 1/2 binary32)))))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) (-.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal 1/2 binary32)))))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (*.f32 (*.f32 u2 u2) #s(literal 0 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) (-.f32 (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
88.7%
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
78.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶65.2%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
92.2%
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓5.4%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
5.4%
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
77.6%
(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)))))))))
46.9%
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
Compiler

Compiled 4100 to 2189 computations (46.6% saved)

simplify165.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓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 #s(literal 2 binary32) (*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32)))
✓cost-diff0
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
✓cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
✓cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
✓cost-diff0
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff64
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Rules
2428×sum3-define
2308×fma-define
2082×fma-lowering-fma.f32
2082×fma-lowering-fma.f64
1640×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049355
1121325
2289319
3636319
41193319
51713319
62097319
74619319
86134319
08015319
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* 2 (* (PI) u2))))
(pow (neg (log (+ 1 (neg u1)))) 1/2)
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1/2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt u1) 1)
(sqrt u1)
u1
1
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* 2 (* (PI) u2))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
1
(* u1 (+ 1/2 (* u1 1/3)))
(+ 1/2 (* u1 1/3))
1/2
(* u1 1/3)
1/3
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4)) (cos (* 2 (* (PI) u2))))
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4))
(sqrt u1)
u1
(* (sqrt (* u1 (* u1 u1))) -3/4)
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
-3/4
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* 2 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3)))))
(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 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3))))
(* 2 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3)))
2
(* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3))
(* u2 (cbrt (* (PI) (PI))))
u2
(cbrt (* (PI) (PI)))
(* (PI) (PI))
(PI)
(pow (PI) 1/3)
Outputs
(* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* 2 (* (PI) u2))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(pow (neg (log (+ 1 (neg u1)))) 1/2)
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(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
1/2
#s(literal 1/2 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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt u1) 1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (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 #s(literal 1/3 binary32))))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(sqrt.f32 (*.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)))))
(*.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))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 1/3)))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))
(+ 1/2 (* u1 1/3))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
1/2
#s(literal 1/2 binary32)
(* u1 1/3)
(*.f32 u1 #s(literal 1/3 binary32))
1/3
#s(literal 1/3 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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4)) (cos (* 2 (* (PI) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32))))
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32)))
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sqrt (* u1 (* u1 u1))) -3/4)
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32))
(sqrt (* u1 (* u1 u1)))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
-3/4
#s(literal -3/4 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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* 2 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3)))))
(*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2)))))
(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 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3))))
(cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))))
(* 2 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2)))
2
#s(literal 2 binary32)
(* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3))
(*.f32 u2 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(* u2 (cbrt (* (PI) (PI))))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
u2
(cbrt (* (PI) (PI)))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))

localize340.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓accuracy98.9%
(PI.f32)
✓accuracy98.4%
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.1%
(*.f32 u1 (*.f32 u1 u1))
✓accuracy99.1%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -3/4 binary32))
✓accuracy98.9%
(PI.f32)
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
✓accuracy98.9%
(PI.f32)
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy98.9%
(*.f32 u1 #s(literal 1/3 binary32))
✓accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.6%
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy99.5%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(PI.f32)
✓accuracy98.9%
(*.f32 (PI.f32) u2)
Results
244.0ms253×0valid
11.0ms3×5exit
Compiler

Compiled 386 to 50 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 45.0ms (42% of total)
ival-pow: 11.0ms (10.3% of total)
ival-add: 9.0ms (8.4% of total)
ival-sqrt: 8.0ms (7.5% of total)
compiled-spec: 8.0ms (7.5% of total)
ival-cos: 7.0ms (6.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (4.7% of total)
ival-log: 5.0ms (4.7% of total)
ival-cbrt: 3.0ms (2.8% of total)
ival-neg: 3.0ms (2.8% of total)
backward-pass: 2.0ms (1.9% of total)
const: 1.0ms (0.9% of total)
ival-pi: 1.0ms (0.9% of total)

series60.0ms (0.4%)

Counts
25 → 324
Calls
Call 1
Inputs
#<alt (* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* 2 (* (PI) u2))))>
#<alt (pow (neg (log (+ 1 (neg u1)))) 1/2)>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt u1) 1)>
#<alt (sqrt u1)>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 1/3))))>
#<alt (* (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4)) (cos (* 2 (* (PI) u2))))>
#<alt (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4))>
#<alt (* (sqrt (* u1 (* u1 u1))) -3/4)>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* 2 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3)))))>
#<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 (* (PI) u2)>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* u1 1/3)>
#<alt (* u1 (* u1 u1))>
#<alt (* (PI) (PI))>
#<alt (* u2 (cbrt (* (PI) (PI))))>
#<alt (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3))>
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)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
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#<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 (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 (* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (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 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* 1/4 (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 (* 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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 1>
#<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 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 (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 (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (cbrt (pow (PI) 2)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
Calls

81 calls:

TimeVariablePointExpression
38.0ms
u2
@0
(* (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4)) (cos (* 2 (* (PI) u2))))
2.0ms
u1
@-inf
(* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* 2 (* (PI) u2))))
1.0ms
u1
@-inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* 2 (* (PI) u2))))
1.0ms
u1
@inf
(pow (neg (log (+ 1 (neg u1)))) 1/2)
1.0ms
u2
@inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* 2 (* (PI) u2))))

rewrite308.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
4404×*-lowering-*.f32
4404×*-lowering-*.f64
2260×/-lowering-/.f32
2260×/-lowering-/.f64
2058×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049203
1255178
21965172
08544172
Stop Event
1×iter limit
1×node limit
Counts
25 → 431
Calls
Call 1
Inputs
(* (pow (neg (log (+ 1 (neg u1)))) 1/2) (cos (* 2 (* (PI) u2))))
(pow (neg (log (+ 1 (neg u1)))) 1/2)
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt u1) 1)
(sqrt u1)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* 2 (* (PI) u2))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))
(+ 1 (* u1 (+ 1/2 (* u1 1/3))))
(* (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4)) (cos (* 2 (* (PI) u2))))
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) -3/4))
(* (sqrt (* u1 (* u1 u1))) -3/4)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* 2 (* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3)))))
(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))))))
(* (PI) u2)
(PI)
(cos (* 2 (* (PI) u2)))
(* u1 1/3)
(* u1 (* u1 u1))
(* (PI) (PI))
(* u2 (cbrt (* (PI) (PI))))
(* (* u2 (cbrt (* (PI) (PI)))) (pow (PI) 1/3))
Outputs
(*.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 (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 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(exp.f32 (*.f32 (log.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)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/4 binary32)) (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/4 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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (+.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 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))))
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u1)))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (neg.f32 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (neg.f32 u1))))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (neg.f32 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (neg.f32 u1))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 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 (*.f32 u1 u1) u1))))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(fabs.f32 (pow.f32 u1 #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 u1)
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 1/2 binary32))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(fabs.f32 (pow.f32 u1 #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 u1)
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 1/2 binary32))))
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(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))

simplify416.0ms (3%)

Algorithm
1×egg-herbie
Rules
7996×*-lowering-*.f32
7996×*-lowering-*.f64
3250×+-lowering-+.f64
3250×+-lowering-+.f32
1670×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06795497
123544542
084134542
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
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)
(+ (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) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (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 (+ (* -1/32 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 4))))))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI)))))
(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 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (pow u1 3)) (sqrt 1/3))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3)))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3)))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (pow (sqrt -1) 2) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (pow (sqrt -1) 2) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 3))
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* 1/3 (pow u1 2))
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))
(* -3/4 (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* -3/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* -3/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* -3/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))))) (* -3/4 (sqrt (pow u1 3)))))
(+ (sqrt u1) (+ (* -3/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))))))))
(+ (sqrt u1) (+ (* -3/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))))))))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(sqrt u1)
(+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))
(* -3/4 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* -3/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* -3/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* -3/4 (sqrt (/ 1 u1)))))
(* -3/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (sqrt (pow u1 3)))
(* -3/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -3/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -3/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -3/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (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)))))
(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)))))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (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 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))
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 (* u1 (+ 1/2 (* 1/3 u1))))
(+ 1 (* 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 (pow u1 3))))))
(* 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)) (/ 1 (pow u1 2)))) u1)) 1/4)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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 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)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/4 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/6 binary32) (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)))))) (* 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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.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))))))))
(* (* (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (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 (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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1)))) (*.f32 (*.f32 (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 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.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))))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
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#s(literal 1 binary32)
(+ 1 (* 1/2 u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
(+ 1 (* u1 (+ 1/2 (* 1/3 u1))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
(* 1/4 (pow u1 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 #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)) (/ 1 (pow u1 3))))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) 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)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) u1) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4)))
(neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2))
(+ 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 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 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 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 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 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))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (cbrt (pow (PI) 2)))
(*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval111.0ms (0.8%)

Compiler

Compiled 31290 to 3462 computations (88.9% saved)

prune257.0ms (1.9%)

Pruning

61 alts after pruning (57 fresh and 4 done)

PrunedKeptTotal
New1067251092
Fresh133245
Picked415
Done134
Total1085611146
Accuracy
100.0%
Counts
1146 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
65.2%
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
74.2%
(/.f32 (*.f32 (-.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 9/16 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
83.4%
(+.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))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
92.5%
(*.f32 (pow.f32 (pow.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
89.2%
(*.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.2%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
88.7%
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
94.3%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
92.7%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
71.5%
(*.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (*.f32 (*.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal -27/64 binary32)) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 729/4096 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 729/4096 binary32)) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -27/64 binary32)))) (+.f32 u1 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 9/16 binary32)) (*.f32 (*.f32 u1 u1) #s(literal -3/4 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
49.4%
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
74.3%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal -3/4 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
14.9%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
75.7%
(*.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 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
88.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal -1 binary32) (neg.f32 u1)))) (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.6%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 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)))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
72.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))
53.9%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
54.9%
(*.f32 (sqrt.f32 (-.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
95.0%
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.3%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.0%
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.2%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)))
93.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
83.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
85.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.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))))))))))
93.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
✓93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
89.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
73.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
94.8%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (/.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
90.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
98.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.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))) (neg.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (+.f32 (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (fma.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)) (-.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal 1/2 binary32)))))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) (-.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) #s(literal 1/2 binary32)))))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (*.f32 (*.f32 u2 u2) #s(literal 0 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) (-.f32 (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
88.7%
(*.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓80.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
78.5%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
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 #s(literal 2 binary32) (*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
90.6%
(*.f32 (exp.f32 (*.f32 (log.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 1/2 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓5.4%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
5.4%
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
77.6%
(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)))))))))
76.4%
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
46.9%
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
65.2%
(sqrt.f32 u1)
64.4%
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
Compiler

Compiled 5735 to 1863 computations (67.5% saved)

regimes328.0ms (2.4%)

Counts
112 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 binary32))))) (-.f32 (pow.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) #s(literal 2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (fma.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))) (neg.f32 (+.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #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))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.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 (/.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 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

10 calls:

37.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
36.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
34.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
34.0ms
(-.f32 #s(literal 1 binary32) u1)
32.0ms
(log.f32 (-.f32 #s(literal 1 binary32) 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)

regimes127.0ms (0.9%)

Counts
41 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 1/3 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.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))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (/.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.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 (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 (PI.f32) (PI.f32))))))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

10 calls:

17.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms
u1
12.0ms
u2
12.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
cosTheta_i
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)

regimes39.0ms (0.3%)

Counts
39 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 1/3 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.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))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1/4 binary32) (/.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)))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.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 (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 (PI.f32) (PI.f32))))))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

3 calls:

13.0ms
cosTheta_i
12.0ms
u2
11.0ms
u1
Results
AccuracySegmentsBranch
95.0%1cosTheta_i
98.4%2u1
98.4%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 1/3 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

2 calls:

9.0ms
u1
9.0ms
u2
Results
AccuracySegmentsBranch
98.3%2u1
98.4%2u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.1%)

Counts
26 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 1/3 binary32)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
Calls

2 calls:

8.0ms
u1
8.0ms
u2
Results
AccuracySegmentsBranch
98.3%2u1
98.2%2u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

2 calls:

9.0ms
u2
7.0ms
u1
Results
AccuracySegmentsBranch
98.2%2u2
98.1%2u1
Compiler

Compiled 8 to 6 computations (25% saved)

regimes24.0ms (0.2%)

Counts
22 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

3 calls:

7.0ms
u1
7.0ms
u2
7.0ms
cosTheta_i
Results
AccuracySegmentsBranch
89.9%1cosTheta_i
97.8%2u1
97.9%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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)))))))
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 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

1 calls:

7.0ms
u2
Results
AccuracySegmentsBranch
97.8%2u2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

2 calls:

7.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
96.2%2u1
96.5%2u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

2 calls:

12.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
91.7%2u1
93.4%2u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
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 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
Calls

3 calls:

6.0ms
u2
6.0ms
u1
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
87.3%2u1
83.3%1cosTheta_i
87.5%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
Calls

2 calls:

5.0ms
u2
5.0ms
u1
Results
AccuracySegmentsBranch
83.3%1u1
83.3%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes55.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.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 #s(literal 1 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 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
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:

47.0ms
u1
4.0ms
cosTheta_i
4.0ms
u2
Results
AccuracySegmentsBranch
77.6%1cosTheta_i
77.6%1u1
77.6%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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))
(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 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
Outputs
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))
Calls

3 calls:

7.0ms
u2
3.0ms
cosTheta_i
3.0ms
u1
Results
AccuracySegmentsBranch
76.4%1u1
76.4%1u2
76.4%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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:

2.0ms
cosTheta_i
2.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
73.8%1u1
73.8%1u2
73.8%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
u2
2.0ms
u1
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
65.2%1cosTheta_i
65.2%1u1
65.2%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Accuracy

Total -19.8b remaining (-177.5%)

Threshold costs -19.8b (-177.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

3.0ms
u1
2.0ms
cosTheta_i
2.0ms
u2
Results
AccuracySegmentsBranch
65.2%1cosTheta_i
65.2%1u1
65.2%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0034893725533038378
0.0036574238911271095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0034893725533038378
0.0036574238911271095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.006328703369945288
0.007206102833151817
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0034893725533038378
0.0036574238911271095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0034893725533038378
0.0036574238911271095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0034893725533038378
0.0036574238911271095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001844281068770215
0.00018912098312284797
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.00044086319394409657
0.00044877384789288044
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001844281068770215
0.00018912098312284797
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
62×*-commutative_binary32
24×+-commutative_binary32
4×neg-sub0_binary32
4×neg-mul-1_binary32
4×*-rgt-identity_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082412
1133412
2137412
3139412
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u1 #s(literal 7516193/1073741824 binary32)) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 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 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 12713103/68719476736 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 3822521/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 12713103/68719476736 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 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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.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))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(sqrt.f32 u1)
Outputs
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.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))))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.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)))))))))))
(if (<=.f32 u1 #s(literal 7516193/1073741824 binary32)) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 u1)) u1)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2))))
(if (<=.f32 u1 #s(literal 7516193/1073741824 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.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 #s(literal 1/3 binary32)))))))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 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 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 7516193/2147483648 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 u2 #s(literal 12713103/68719476736 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 12713103/68719476736 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 u2 #s(literal 3822521/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 #s(literal 3822521/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 12713103/68719476736 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 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2))))
(if (<=.f32 u2 #s(literal 12713103/68719476736 binary32)) (sqrt.f32 (neg.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 (*.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 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) u2) u2)))
(*.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 #s(literal 1/3 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)))))))))
(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)))))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(sqrt.f32 u1)

soundness2.6s (19%)

Rules
7996×*-lowering-*.f32
7996×*-lowering-*.f64
5686×*-lowering-*.f32
5686×*-lowering-*.f64
5638×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058381
1365269
23530266
08098266
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
03061745
19821425
234811308
080341308
0114310762
139259044
087459044
01433
16933
241933
3370933
0826733
07137193
123765893
083195893
049203
1255178
21965172
08544172
06795497
123544542
084134542
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 1456 to 951 computations (34.7% saved)

preprocess70.0ms (0.5%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1118 to 408 computations (63.5% saved)

end0.0ms (0%)

Profiling

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