Beckmann Sample, near normal, slope_x

Time bar (total: 13.7s)

analyze439.0ms (3.2%)

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: 270.0ms
...c/correct-round.rkt:119:19: 71.0ms (26.3% of total)
ival-mult: 37.0ms (13.7% of total)
ival-<=: 35.0ms (13% of total)
ival-log: 33.0ms (12.2% of total)
ival-cos: 23.0ms (8.5% of total)
ival-sqrt: 16.0ms (5.9% of total)
ival-neg: 14.0ms (5.2% of total)
ival-sub: 13.0ms (4.8% of total)
ival-and: 11.0ms (4.1% of total)
ival-pi: 8.0ms (3% of total)
ival->: 8.0ms (3% of total)
const: 2.0ms (0.7% of total)
backward-pass: 1.0ms (0.4% of total)

sample2.1s (15.6%)

Results
1.7s8256×0valid
0.0ms1×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.4s
...c/correct-round.rkt:119:19: 359.0ms (26.1% of total)
ival-mult: 209.0ms (15.2% of total)
ival-log: 205.0ms (14.9% of total)
ival-<=: 140.0ms (10.2% of total)
ival-cos: 119.0ms (8.7% of total)
ival-sqrt: 94.0ms (6.8% of total)
ival-sub: 60.0ms (4.4% of total)
ival-neg: 60.0ms (4.4% of total)
ival-and: 47.0ms (3.4% of total)
ival-pi: 35.0ms (2.5% of total)
ival->: 34.0ms (2.5% of total)
const: 9.0ms (0.7% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess86.0ms (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
1111121
2203121
3356121
4631121
51245121
61721121
72339121
83917121
94676121
104767121
114781121
124793121
01313
12812
24112
35112
46512
58212
610412
711812
813012
913112
013112
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)

explain154.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2063(0.9999370574951172 0.0040903701446950436 6.496201798711354e-9)5(0.9999390244483948 0.011093462817370892 0.0020597504917532206)(log.f32 (-.f32 #s(literal 1 binary32) u1))
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-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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-mult: 11.0ms (26.5% of total)
ival-log: 10.0ms (24.1% of total)
ival-cos: 6.0ms (14.4% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-neg: 4.0ms (9.6% of total)
ival-sub: 3.0ms (7.2% of total)
ival-pi: 2.0ms (4.8% 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)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Rules
40×sum3-define
40×*-lowering-*.f32
40×*-lowering-*.f64
32×+-lowering-+.f64
32×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
14790
26190
37190
49090
511090
612790
714290
814390
014390
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (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 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 (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* (* 2 (PI)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (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 (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 (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

localize111.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓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)
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy54.4%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
83.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 12.0ms (26% of total)
ival-log: 9.0ms (19.5% of total)
ival-cos: 7.0ms (15.2% of total)
compiled-spec: 6.0ms (13% of total)
ival-sqrt: 4.0ms (8.7% of total)
ival-neg: 4.0ms (8.7% of total)
ival-sub: 2.0ms (4.3% of total)
ival-pi: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.3%)

Counts
11 → 156
Calls
Call 1
Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (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 (* (* 2 (PI)) u2)>
#<alt (* (PI) u2)>
#<alt (cos (* 2 (* (PI) u2)))>
Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* (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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 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

39 calls:

TimeVariablePointExpression
30.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(log (- 1 u1))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite280.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2534×fma-lowering-fma.f32
2534×fma-lowering-fma.f64
1736×*-lowering-*.f32
1736×*-lowering-*.f64
1582×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02262
110062
255554
3465954
0869254
Stop Event
1×iter limit
1×node limit
Counts
11 → 318
Calls
Call 1
Inputs
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (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)))
(* (* 2 (PI)) u2)
(* (PI) u2)
(cos (* 2 (* (PI) u2)))
Outputs
(log1p.f32 u1)
(neg.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 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 (-.f32 #s(literal 0 binary32) (log1p.f32 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 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 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 (-.f32 #s(literal 0 binary32) (log1p.f32 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))))
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(/.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 (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 (/.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))))))
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(*.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))))

simplify363.0ms (2.6%)

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
03063405
19972777
235142544
080672544
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (* (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)))
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(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
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(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
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(* (sqrt (log (- 1 u1))) (sqrt -1))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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
(* -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 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (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 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (neg.f32 (sqrt.f32 u1)) (*.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (*.f32 (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)) (+.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 (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)))))))
(* (* (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 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 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 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.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 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(* (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)))))))
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(+ (* -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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.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)))))
(neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 #s(literal 1/3 binary32) u1) (*.f32 u1 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -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))))
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(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
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(- (+ (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 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 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 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.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))))

eval35.0ms (0.3%)

Compiler

Compiled 12082 to 1218 computations (89.9% saved)

prune81.0ms (0.6%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New45321474
Fresh000
Picked022
Done000
Total45323476
Accuracy
99.8%
Counts
476 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.6%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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)))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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)))))
98.6%
(*.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 (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 (-.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 (+.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 (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 (/.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 #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)))))))
98.4%
(*.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))))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
98.3%
(*.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)))))
98.8%
(*.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))))))))
▶98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶80.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1499 to 841 computations (43.9% saved)

simplify170.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
✓cost-diff3168
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
✓cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
✓cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(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-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓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)))))))
✓cost-diff6784
(-.f32 (*.f32 (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 (-.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))))))))
✓cost-diff13824
(/.f32 (-.f32 (*.f32 (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 (-.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))))))))
Rules
1844×fma-define
1782×+-lowering-+.f64
1782×+-lowering-+.f32
1682×sum3-define
1658×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059683
1177644
2566531
32502505
09252505
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (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
(/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(- (* (cos (* 2 (* (PI) u2))) (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))))))))
(* (cos (* 2 (* (PI) u2))) (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (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
-2
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))
1/2
(* -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)))))))
(* (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 (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(cos (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))))
(* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))
2
(* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))
(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))
(* u2 (pow (PI) 1/2))
u2
(pow (PI) 1/2)
(PI)
1/2
(pow (PI) 1/3)
1/3
(pow (PI) 1/6)
1/6
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(neg (sin (* (PI) u2)))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
1/2
(* (cos (* 2 (* (PI) u2))) 1/2)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(- (* (cos (* 2 (* (PI) u2))) (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))))))))
(*.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (*.f32 #s(literal 3/2 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))) #s(literal -1/2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(* (cos (* 2 (* (PI) u2))) (cos (* 2 (* (PI) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(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
(* (+ (/ (- 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 #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))) (+.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))))
(+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))
(+.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)))
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
(- 1 (cos (* 2 (* (PI) u2))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
1
#s(literal 1 binary32)
-2
#s(literal -2 binary32)
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (* (PI) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)) (*.f32 #s(literal 3/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))))
(cos.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
(* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
2
#s(literal 2 binary32)
(* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/6 binary32)))))
(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(* u2 (pow (PI) 1/2))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
u2
(pow (PI) 1/2)
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(PI)
(PI.f32)
1/2
#s(literal 1/2 binary32)
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(pow (PI) 1/6)
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
1/6
#s(literal 1/6 binary32)
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(neg (sin (* (PI) u2)))
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
1/2
#s(literal 1/2 binary32)
(* (cos (* 2 (* (PI) u2))) 1/2)
(/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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))
2
#s(literal 2 binary32)

localize988.0ms (7.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
✓accuracy99.0%
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓accuracy99.0%
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
✓accuracy98.8%
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓accuracy98.6%
(*.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)))
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
✓accuracy99.0%
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy100.0%
(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))))
✓accuracy99.2%
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy38.6%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓accuracy38.5%
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Results
733.0ms256×1valid
Compiler

Compiled 779 to 59 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-mult: 79.0ms (23.4% of total)
backward-pass: 55.0ms (16.3% of total)
...c/correct-round.rkt:119:19: 38.0ms (11.2% of total)
ival-pow: 34.0ms (10.1% of total)
compiled-spec: 27.0ms (8% of total)
ival-cos: 25.0ms (7.4% of total)
ival-add: 23.0ms (6.8% of total)
ival-neg: 11.0ms (3.3% of total)
ival-div: 10.0ms (3% of total)
ival-log: 9.0ms (2.7% of total)
ival-sub: 8.0ms (2.4% of total)
ival-sqrt: 8.0ms (2.4% of total)
ival-sin: 6.0ms (1.8% of total)
ival-pi: 3.0ms (0.9% of total)
const: 2.0ms (0.6% of total)

series77.0ms (0.6%)

Counts
28 → 372
Calls
Call 1
Inputs
#<alt (/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))>
#<alt (- (* (cos (* 2 (* (PI) u2))) (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))))))))>
#<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 (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg 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 (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))>
#<alt (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))>
#<alt (- 1 (cos (* 2 (* (PI) u2))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))>
#<alt (* (PI) u2)>
#<alt (* (cos (* 2 (* (PI) u2))) (cos (* 2 (* (PI) u2))))>
#<alt (neg u1)>
#<alt (* (* 2 (PI)) u2)>
#<alt (+ 1/3 (* u1 1/4))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
#<alt (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))>
#<alt (* u2 (pow (PI) 1/2))>
#<alt (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))>
#<alt (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))>
Outputs
#<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)) (+ (* 4/3 (pow (PI) 4)) (* 4 (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)))))>
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#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 1>
#<alt (+ 1 (* -4 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* (pow u2 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))))))))))>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 2)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/2 u1)>
#<alt (* u1 (+ 1/2 (* 1/3 u1)))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* 1/3 u1)>
#<alt (* 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 (* 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 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt (* (pow (* 1 (pow (PI) 5)) 1/6) u2)>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
Calls

93 calls:

TimeVariablePointExpression
26.0ms
u2
@0
(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))
7.0ms
u1
@inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@-inf
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
(+ 1/3 (* u1 1/4))
2.0ms
u2
@0
(/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))

rewrite325.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
2372×*-lowering-*.f32
2372×*-lowering-*.f64
1542×sum4-define
1188×+-lowering-+.f64
1188×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058403
1369267
23816226
09335226
Stop Event
1×iter limit
1×node limit
Counts
28 → 599
Calls
Call 1
Inputs
(/ (- (* (cos (* 2 (* (PI) u2))) (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)))))))) (- (cos (* 2 (* (PI) u2))) (+ (/ (- 1 (cos (* 2 (* (PI) u2)))) -2) (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))))))
(- (* (cos (* 2 (* (PI) u2))) (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))))))))
(- (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))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg 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 (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6)))))
(+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (* (sin (* (PI) u2)) (neg (sin (* (PI) u2)))) (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))))
(- 1 (cos (* 2 (* (PI) u2))))
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))
(* (PI) u2)
(* (cos (* 2 (* (PI) u2))) (cos (* 2 (* (PI) u2))))
(neg u1)
(* (* 2 (PI)) u2)
(+ 1/3 (* u1 1/4))
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(* u1 (+ 1/3 (* u1 1/4)))
(* (* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3)) (pow (PI) 1/6))
(* u2 (pow (PI) 1/2))
(* (* u2 (pow (PI) 1/2)) (pow (PI) 1/3))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
Outputs
(neg.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))) (neg.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))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))))))
(neg.f32 (/.f32 (neg.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 (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)))))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 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 #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 (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 -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 #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 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) (/.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 1/2 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 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 4 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)))))) (neg.f32 (/.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 (+.f32 #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 -2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(+.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))))
(+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))
(+.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))))
(+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 #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 -2 binary32))))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.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))) (-.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 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 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 1/2 binary32))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.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 1/2 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 1/2 binary32)))))) #s(literal -1 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 (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 #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)))))) (neg.f32 (/.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))))))))
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(/.f32 (*.f32 u1 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(/.f32 (*.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 u1 u1) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) 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 u1 u1) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) 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)
(+.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 #s(literal 1/3 binary32) u1 (*.f32 u1 (*.f32 u1 #s(literal 1/4 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 #s(literal 1/4 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/16 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 #s(literal -1/4 binary32) u1)))
(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/16 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 #s(literal -1/4 binary32) u1)))
(*.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 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (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 5/6 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 u2 (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 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.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 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) u2)
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 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 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.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 #s(literal 1/2 binary32) (neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)))) #s(literal -1 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 1/4 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)))) #s(literal -1 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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 -2 binary32)))
(-.f32 (/.f32 #s(literal 1/4 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 (+.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 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 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 1/4 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 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 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 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.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)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.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 1/2 binary32) (/.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 1 binary32)) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (neg.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 -1/2 binary32) (/.f32 (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 (+.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 -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.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 1/2 binary32)) #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 binary32)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))))
(*.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 (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 1 binary32)) #s(literal 1/2 binary32))

simplify378.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
6450×*-lowering-*.f32
6450×*-lowering-*.f64
4978×+-lowering-+.f64
4978×+-lowering-+.f32
1596×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07897775
128016491
088116491
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
1
(+ 1 (* (pow u2 2) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))))
(+ 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)) (+ (* 4/3 (pow (PI) 4)) (* 4 (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)))))
(+ 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)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -8/3 (pow (PI) 6)) (+ (* -8/45 (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)) (+ (* 4/3 (pow (PI) 4)) (* 4 (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)))))
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u1
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(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
(* (pow (* 1 (pow (PI) 5)) 1/6) u2)
1
(+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow u2 2) (- (+ (* -4 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (* -2 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 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)) (+ (* 4/3 (pow (PI) 4)) (* 4 (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)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 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)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -8/3 (pow (PI) 6)) (+ (* -8/45 (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)) (+ (* 4/3 (pow (PI) 4)) (* 4 (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)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (-.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -128/45 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(/ (- (pow (cos (* 2 (* u2 (PI)))) 2) (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))))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (+.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
1
#s(literal 1 binary32)
(+ 1 (* -4 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32))))))
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))) (* 2 (* (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/3 (pow (PI) 4)) (* 1/3 (pow (PI) 4))))))))) (pow (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -128/45 binary32))) #s(literal 0 binary32)))))))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
(-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
(-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
(-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
(-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
(-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
(-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)))
(- (pow (cos (* 2 (* u2 (PI)))) 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))))) 2))
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(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)))

eval259.0ms (1.9%)

Compiler

Compiled 118800 to 4831 computations (95.9% saved)

prune343.0ms (2.5%)

Pruning

54 alts after pruning (51 fresh and 3 done)

PrunedKeptTotal
New1740411781
Fresh61016
Picked415
Done022
Total1750541804
Accuracy
100.0%
Counts
1804 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.0%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
82.9%
(+.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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)))))))))))
88.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (*.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)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.9%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
21.9%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
18.7%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.3%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
93.5%
(*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶93.3%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))))
✓93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1 binary32))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
72.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶47.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))
39.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (/.f32 #s(literal 1/4 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 (+.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 1/2 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)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))) #s(literal 1/2 binary32)))))
39.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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)))))
98.6%
(*.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)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (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 (-.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 #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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
98.4%
(*.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))))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2)))
▶99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (/.f32 #s(literal 1 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 #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)))))
98.3%
(*.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)))))
98.8%
(*.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))))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
48.4%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
76.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
64.3%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
91.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
▶4.3%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
76.1%
(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)))))))))
80.3%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
78.5%
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
Compiler

Compiled 3203 to 2008 computations (37.3% saved)

simplify219.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
✓cost-diff0
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓cost-diff0
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
✓cost-diff6464
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
✓cost-diff0
(pow.f32 u1 #s(literal 4 binary32))
✓cost-diff0
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))
✓cost-diff0
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓cost-diff64
(neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
✓cost-diff128
(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
Rules
2128×fma-lowering-fma.f32
2128×fma-lowering-fma.f64
1656×*-lowering-*.f32
1656×*-lowering-*.f64
1642×fnmadd-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
059431
1141427
2291421
3706420
41516420
52166416
63423398
76226392
08126392
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2)))
1/2
(- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))
(* (cos (* 2 (* u2 (PI)))) 1/2)
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(pow (sin (* u2 (PI))) 2)
(sin (* u2 (PI)))
(* -1 (sqrt u1))
-1
(sqrt u1)
u1
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(+ 1 u1)
1
u1
(- 1 (* u1 u1))
(* u1 u1)
(* (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1))))
(* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))
(pow u1 4)
u1
4
(- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1))
1/4
(/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)
(+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3)
(/ (+ -1/2 (/ -1 u1)) u1)
(+ -1/2 (/ -1 u1))
-1/2
(/ -1 u1)
-1
-1/3
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt u1))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(sqrt u1)
u1
(* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))))
(* u1 u1)
(* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))
(+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))
(* (sqrt u1) 1/6)
1/6
(* (sqrt (/ 1 u1)) 1/4)
(sqrt (/ 1 u1))
(/ 1 u1)
1
1/4
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
1/2
#s(literal 1/2 binary32)
(- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* (cos (* 2 (* u2 (PI)))) 1/2)
(*.f32 #s(literal 1/2 binary32) (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))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
2
#s(literal 2 binary32)
(* u2 (PI))
(*.f32 u2 (PI.f32))
u2
(PI)
(PI.f32)
(pow (sin (* u2 (PI))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(* -1 (sqrt u1))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
-1
#s(literal -1 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
(sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(- 1 (* u1 u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(* (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1)))))
(sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1))))
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1))))
(* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1)))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
u1
4
#s(literal 4 binary32)
(- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1))
(+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1))
1/4
#s(literal 1/4 binary32)
(/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)
(+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3)
(+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32))
(/ (+ -1/2 (/ -1 u1)) u1)
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(+ -1/2 (/ -1 u1))
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1))
-1/2
#s(literal -1/2 binary32)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
-1
#s(literal -1 binary32)
-1/3
#s(literal -1/3 binary32)
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/6 binary32)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt u1))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
2
#s(literal 2 binary32)
(* u2 (PI))
(*.f32 u2 (PI.f32))
u2
(PI)
(PI.f32)
(sqrt u1)
(sqrt.f32 u1)
u1
(* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))))
(*.f32 u1 (*.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* u1 u1)
(*.f32 u1 u1)
(* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(* (sqrt u1) 1/6)
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
1/6
#s(literal 1/6 binary32)
(* (sqrt (/ 1 u1)) 1/4)
(*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
1/4
#s(literal 1/4 binary32)

localize389.0ms (2.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
✓accuracy99.0%
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy98.9%
(*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))))
✓accuracy99.2%
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)
✓accuracy99.1%
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.8%
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
✓accuracy99.7%
(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓accuracy99.6%
(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓accuracy52.2%
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓accuracy100.0%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.4%
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
✓accuracy99.2%
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy98.3%
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
Results
255.0ms256×0valid
Compiler

Compiled 470 to 60 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 57.0ms (41% of total)
ival-div: 10.0ms (7.2% of total)
ival-sqrt: 10.0ms (7.2% of total)
ival-add: 9.0ms (6.5% of total)
ival-log: 9.0ms (6.5% of total)
...c/correct-round.rkt:119:19: 9.0ms (6.5% of total)
ival-cos: 7.0ms (5% of total)
compiled-spec: 7.0ms (5% of total)
ival-pow: 6.0ms (4.3% of total)
ival-neg: 5.0ms (3.6% of total)
ival-sin: 4.0ms (2.9% of total)
ival-sub: 4.0ms (2.9% of total)
ival-pi: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.5%)

Counts
30 → 420
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* -1 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (/ (+ 1 u1) (- 1 (* u1 u1)))>
#<alt (* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)>
#<alt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))>
#<alt (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))>
#<alt (* (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1))))>
#<alt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))>
#<alt (pow u1 4)>
#<alt (+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt u1))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (pow (sin (* u2 (PI))) 2)>
#<alt (* u2 (PI))>
#<alt (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))>
#<alt (+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2)))>
#<alt (log (/ (+ 1 u1) (- 1 (* u1 u1))))>
#<alt (- 1 (* u1 u1))>
#<alt (* (* 2 (PI)) u2)>
#<alt (/ (+ -1/2 (/ -1 u1)) u1)>
#<alt (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)>
#<alt (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))))>
#<alt (* (sqrt u1) 1/6)>
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Outputs
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#<alt u1>
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#<alt (* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 3) (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI))))))))>
#<alt (* -1/6 (* (sqrt (pow u1 5)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))>
#<alt (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (+ (* -2 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2/3 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))>
#<alt (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))) (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* 1/6 (sqrt u1))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 1/4 (sqrt (/ 1 u1)))>
#<alt (/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)>
#<alt (/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)>
#<alt (/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)>
#<alt (* 1/6 (sqrt u1))>
#<alt (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))>
Calls

105 calls:

TimeVariablePointExpression
19.0ms
u2
@inf
(* (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))) (cos (* (* 2 (PI)) u2)))
13.0ms
u2
@0
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))))
3.0ms
u2
@0
(* (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* -1 (sqrt u1))
1.0ms
u2
@inf
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))))

rewrite360.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
3202×*-lowering-*.f32
3202×*-lowering-*.f64
1714×pow-lowering-pow.f64
1714×pow-lowering-pow.f32
1650×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059264
1342243
22720230
08757230
Stop Event
1×iter limit
1×node limit
Counts
30 → 596
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* -1 (sqrt u1))
(sqrt u1)
(/ (+ 1 u1) (- 1 (* u1 u1)))
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) 1)
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(* (sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))) (cos (* (* 2 (PI)) u2)))
(sqrt (* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1))))
(* (pow u1 4) (- 1/4 (/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)))
(pow u1 4)
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt u1))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2))
(+ 1/2 (- (* (cos (* 2 (* u2 (PI)))) 1/2) (pow (sin (* u2 (PI))) 2)))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(- 1 (* u1 u1))
(* (* 2 (PI)) u2)
(/ (+ -1/2 (/ -1 u1)) u1)
(/ (+ (/ (+ -1/2 (/ -1 u1)) u1) -1/3) u1)
(* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))))
(* (sqrt u1) 1/6)
(+ (* (sqrt u1) 1/6) (* (sqrt (/ 1 u1)) 1/4))
Outputs
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))) #s(literal 2 binary32))) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (-.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (-.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #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 u2 (PI.f32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 u1))
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(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/6 binary32))
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(fma.f32 #s(literal 1/6 binary32) (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 1/2 binary32))))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/6 binary32)))
(-.f32 (/.f32 (*.f32 u1 #s(literal 1/36 binary32)) (+.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/16 binary32)) (+.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))))
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simplify455.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
7904×*-lowering-*.f32
7904×*-lowering-*.f64
4022×+-lowering-+.f64
4022×+-lowering-+.f32
1870×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07347399
124726166
091966166
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
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(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
Outputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))
(+.f32 (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))))
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(* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (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 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 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 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (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))))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) (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 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 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 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 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))) #s(literal -1/2 binary32))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 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))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))
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(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
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(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
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(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
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(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/6 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(+ (* -2 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u1 u1)) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
(+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* 2/3 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))))))
(+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u1 u1)) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
(+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 6) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))))) (* 2/3 (* (pow u1 2) (* (pow (PI) 4) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))))
(+.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u1 u1)) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u1 (*.f32 u1 (pow.f32 (PI.f32) #s(literal 6 binary32))))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(*.f32 (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* 1/4 (sqrt (/ 1 u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
(/.f32 (+.f32 (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 1/4 binary32))) u1)
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
(/.f32 (+.f32 (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 1/4 binary32))) u1)
(/ (+ (* 1/6 (sqrt (pow u1 3))) (* 1/4 (sqrt u1))) u1)
(/.f32 (+.f32 (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 1/4 binary32))) u1)
(* 1/6 (sqrt u1))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/4 (sqrt (/ 1 (pow u1 3))))))
(*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(* -1/6 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(* -1 (* u1 (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))

eval494.0ms (3.6%)

Compiler

Compiled 42834 to 3811 computations (91.1% saved)

prune215.0ms (1.6%)

Pruning

64 alts after pruning (59 fresh and 5 done)

PrunedKeptTotal
New1241291270
Fresh163046
Picked325
Done033
Total1260641324
Accuracy
100.0%
Counts
1324 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
▶88.5%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
82.9%
(+.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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)))))))))))
▶72.5%
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
88.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (*.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)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.4%
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.9%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
15.3%
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.9%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
18.7%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
93.2%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
74.5%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)))
74.5%
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
75.8%
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
93.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.6%
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
87.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) (/.f32 u1 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/9 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.7%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1))) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓47.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))
39.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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)))))
98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (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 (-.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 #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 #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 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2)))
▶99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
43.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
98.3%
(*.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)))))
98.8%
(*.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))))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
48.4%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
76.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
76.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.3%
(*.f32 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
✓4.3%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
76.1%
(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)))))))))
80.3%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
▶64.3%
(sqrt.f32 u1)
▶78.5%
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
Compiler

Compiled 3478 to 2337 computations (32.8% saved)

simplify124.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
✓cost-diff0
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓cost-diff0
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
✓cost-diff3392
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))
✓cost-diff3232
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
✓cost-diff0
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
✓cost-diff3168
(fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
Rules
2530×fnmadd-define
2400×sum4-define
2336×sum3-define
1356×fmsub-define
1178×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037267
198247
2167244
3297244
4561244
5976244
61667244
73145244
85986244
08048244
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
1/2
(+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(sin (* u2 (PI)))
(* u2 (PI))
u2
(PI)
(neg (sin (* u2 (PI))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(sqrt u1)
u1
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))
(sqrt u1)
u1
(* (sqrt (* u1 (* u1 u1))) 1/4)
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
1/4
(exp (* (log (neg (log (+ 1 (neg u1))))) 1/2))
(* (log (neg (log (+ 1 (neg u1))))) 1/2)
(log (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1/2
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4)))
(* (cos (* 2 (* u2 (PI)))) (sqrt u1))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(sqrt u1)
u1
(* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4))
(cos (* u2 (* (PI) 2)))
(* u2 (* (PI) 2))
(* (PI) 2)
(* (sqrt (* u1 (* u1 u1))) 1/4)
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
1/4
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(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 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
1/2
#s(literal 1/2 binary32)
(+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
u2
(PI)
(PI.f32)
(neg (sin (* u2 (PI))))
(neg.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(* 1/2 (cos (* 2 (* u2 (PI)))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sqrt (* u1 (* u1 u1))) 1/4)
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(sqrt (* u1 (* u1 u1)))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
1/4
#s(literal 1/4 binary32)
(exp (* (log (neg (log (+ 1 (neg u1))))) 1/2))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(* (log (neg (log (+ 1 (neg u1))))) 1/2)
(*.f32 #s(literal 1/2 binary32) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(log (neg (log (+ 1 (neg u1)))))
(log.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
#s(literal 1/2 binary32)
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt u1))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* u2 (PI))
(*.f32 u2 (PI.f32))
u2
(PI)
(PI.f32)
(sqrt u1)
(sqrt.f32 u1)
u1
(* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(cos (* u2 (* (PI) 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (* (PI) 2))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* (PI) 2)
(*.f32 (PI.f32) #s(literal 2 binary32))
(* (sqrt (* u1 (* u1 u1))) 1/4)
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(sqrt (* u1 (* u1 u1)))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
1/4
#s(literal 1/4 binary32)

localize238.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
✓accuracy99.2%
(*.f32 u1 (*.f32 u1 u1))
✓accuracy98.9%
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy100.0%
(neg.f32 u1)
✓accuracy100.0%
(log1p.f32 (neg.f32 u1))
✓accuracy99.8%
(log.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy96.4%
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.6%
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
✓accuracy99.4%
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
✓accuracy99.2%
(*.f32 u1 (*.f32 u1 u1))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
✓accuracy99.4%
(+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
✓accuracy99.2%
(fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
Results
175.0ms256×0valid
Compiler

Compiled 295 to 36 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 23.0ms (29.5% of total)
compiled-spec: 13.0ms (16.7% of total)
ival-log: 10.0ms (12.8% of total)
ival-add: 7.0ms (9% of total)
ival-cos: 6.0ms (7.7% of total)
ival-sin: 5.0ms (6.4% of total)
ival-sqrt: 5.0ms (6.4% of total)
ival-neg: 4.0ms (5.1% of total)
ival-exp: 3.0ms (3.9% of total)
ival-pi: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.1%)

Counts
20 → 276
Calls
Call 1
Inputs
#<alt (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))>
#<alt (* (sqrt (* u1 (* u1 u1))) 1/4)>
#<alt (sqrt (* u1 (* u1 u1)))>
#<alt (exp (* (log (neg (log (+ 1 (neg u1))))) 1/2))>
#<alt (* (log (neg (log (+ 1 (neg u1))))) 1/2)>
#<alt (log (neg (log (+ 1 (neg u1)))))>
#<alt (+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4)))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt u1))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* u1 (* u1 u1))>
#<alt (neg u1)>
#<alt (* u2 (* (PI) 2))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))>
#<alt (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (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 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (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 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (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))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<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 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<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) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (* (sqrt -1) (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))))))))>
#<alt (+ (* 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)))))))))>
#<alt (sqrt (log (/ -1 u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (* 1/2 (log u1))>
#<alt (+ (* 1/4 u1) (* 1/2 (log u1)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 u1))))))>
#<alt (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (+ (* -1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (* 1/2 (log (neg (* -1 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (- (* -1/4 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/12 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/4 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))>
#<alt (log u1)>
#<alt (+ (log u1) (* 1/2 u1))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))>
#<alt (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (- (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (+ (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (* -1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2)))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (+ (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* -1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (* -1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))))) (pow u1 3))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (log (neg (* -1 (log (/ -1 u1)))))>
#<alt (+ (log (neg (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (log (/ -1 u1)))))>
#<alt (+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1/2 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1)))) u1)))>
#<alt (+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/2 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (/ 1 (log (/ -1 u1)))) u1)))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -1/2 (* (sqrt (pow u1 3)) (pow (PI) 2)))))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -1/2 (* (sqrt (pow u1 3)) (pow (PI) 2))) (* (pow u2 2) (+ (* 1/6 (* (sqrt (pow u1 3)) (pow (PI) 4))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -1/2 (* (sqrt (pow u1 3)) (pow (PI) 2))) (* (pow u2 2) (+ (* 1/6 (* (sqrt (pow u1 3)) (pow (PI) 4))) (+ (* 2/3 (* (sqrt u1) (pow (PI) 4))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (pow (PI) 6))) (* -1/45 (* (sqrt (pow u1 3)) (pow (PI) 6)))))))))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt 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) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<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 (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
u1
@inf
(* (log (neg (log (+ 1 (neg u1))))) 1/2)
1.0ms
u1
@inf
(exp (* (log (neg (log (+ 1 (neg u1))))) 1/2))
1.0ms
u2
@inf
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4)))
1.0ms
u2
@0
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4)))
1.0ms
u1
@-inf
(* (log (neg (log (+ 1 (neg u1))))) 1/2)

rewrite345.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
4250×*-lowering-*.f32
4250×*-lowering-*.f64
2456×/-lowering-/.f32
2456×/-lowering-/.f64
2160×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037150
1187120
21402119
08319119
Stop Event
1×iter limit
1×node limit
Counts
20 → 483
Calls
Call 1
Inputs
(+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(sqrt u1)
(+ (sqrt u1) (* (sqrt (* u1 (* u1 u1))) 1/4))
(* (sqrt (* u1 (* u1 u1))) 1/4)
(sqrt (* u1 (* u1 u1)))
(exp (* (log (neg (log (+ 1 (neg u1))))) 1/2))
(* (log (neg (log (+ 1 (neg u1))))) 1/2)
(log (neg (log (+ 1 (neg u1)))))
(+ (* (cos (* 2 (* u2 (PI)))) (sqrt u1)) (* (cos (* u2 (* (PI) 2))) (* (sqrt (* u1 (* u1 u1))) 1/4)))
(* (cos (* 2 (* u2 (PI)))) (sqrt u1))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* u2 (PI))
(+ 1/2 (+ (* (sin (* u2 (PI))) (neg (sin (* u2 (PI))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* u1 (* u1 u1))
(neg u1)
(* u2 (* (PI) 2))
Outputs
(+.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))))
(+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))) (+.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))))
(pow.f32 (/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))))))) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
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(*.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))))))
(*.f32 (+.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(neg.f32 (*.f32 u1 (*.f32 u1 u1)))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 6 binary32))
(pow.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
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(pow.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 u1) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal 2 binary32))
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(neg.f32 u1)
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(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
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simplify374.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5328×*-lowering-*.f32
5328×*-lowering-*.f64
2542×+-lowering-+.f64
2542×+-lowering-+.f32
1904×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05404718
118533847
271423839
081593839
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (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)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))
(sqrt u1)
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(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)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 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)))))))
(+ 1/2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))))))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(+.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 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))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) 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))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (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))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.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))) (*.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))) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
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#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 (*.f32 (*.f32 u2 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)))))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))
(+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))))))))) #s(literal 1 binary32))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 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))
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))

eval121.0ms (0.9%)

Compiler

Compiled 41340 to 2828 computations (93.2% saved)

prune320.0ms (2.3%)

Pruning

68 alts after pruning (62 fresh and 6 done)

PrunedKeptTotal
New1100171117
Fresh94554
Picked415
Done055
Total1113681181
Accuracy
100.0%
Counts
1181 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
64.3%
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
72.2%
(/.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
88.2%
(/.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))))) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
72.3%
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))) (-.f32 (+.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
88.5%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))))
86.1%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
82.9%
(+.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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)))))))))))
72.5%
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
72.1%
(*.f32 (-.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
93.2%
(*.f32 (*.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)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.4%
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.9%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
15.3%
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.9%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
93.2%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
74.5%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)))
74.5%
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
88.0%
(*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))))
75.8%
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
82.6%
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
87.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.6%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) (/.f32 u1 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/9 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.7%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1))) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.9%
(*.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))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
93.2%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.6%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓47.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))
39.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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)))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (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 (-.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 #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 #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 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2)))
98.3%
(*.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)))))
98.8%
(*.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))))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
✓99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
76.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
76.8%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
76.8%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.5%
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))))
4.3%
(*.f32 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
✓4.3%
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
76.1%
(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)))))))))
80.3%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
48.4%
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
✓64.3%
(sqrt.f32 u1)
71.0%
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
74.7%
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
Compiler

Compiled 4693 to 1786 computations (61.9% saved)

regimes388.0ms (2.8%)

Counts
110 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #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 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (-.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))) (-.f32 (+.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 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)))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (/.f32 #s(literal 1 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 #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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (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 (-.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 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (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 (-.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 #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 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 (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 (/.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)))))))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
Calls

10 calls:

61.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
48.0ms
(-.f32 #s(literal 1 binary32) u1)
39.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
35.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
34.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%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)))
99.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.0%1(-.f32 #s(literal 1 binary32) u1)
99.0%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes382.0ms (2.8%)

Counts
94 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #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 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (-.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))) (-.f32 (+.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 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)))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
(*.f32 (*.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)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) (/.f32 u1 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/9 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1/3 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32))))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 u1))) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (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 1/6 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(*.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 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
(/.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))))) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))))) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))))))
(*.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))))
(*.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)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
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:

63.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
45.0ms
(-.f32 #s(literal 1 binary32) u1)
39.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
39.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
32.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%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)))
99.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.0%1(-.f32 #s(literal 1 binary32) u1)
99.0%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes180.0ms (1.3%)

Counts
50 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #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 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (-.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))) (-.f32 (+.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(*.f32 (*.f32 u1 u1) (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 u1 u1)) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (+.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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)))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))) #s(literal 1 binary32)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

37.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
35.0ms
u2
20.0ms
cosTheta_i
19.0ms
(-.f32 #s(literal 1 binary32) u1)
14.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
93.6%1cosTheta_i
97.9%2u1
98.4%2u2
97.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.9%2(-.f32 #s(literal 1 binary32) u1)
98.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes35.0ms (0.3%)

Counts
36 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #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 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) 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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32)) u1) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (-.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

3 calls:

11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms
u2
9.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
98.2%2u2
98.2%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes97.0ms (0.7%)

Counts
33 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #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 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

8 calls:

21.0ms
u1
18.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms
u2
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
96.4%2u1
96.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.4%2(-.f32 #s(literal 1 binary32) u1)
97.7%2u2
97.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes92.0ms (0.7%)

Counts
31 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #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 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 u1) (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (/.f32 #s(literal 20/27 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 5/48 binary32) (*.f32 u1 #s(literal 1/16 binary32))))))))
Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

17.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms
cosTheta_i
10.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
94.6%2u1
94.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.6%2(-.f32 #s(literal 1 binary32) u1)
88.2%1cosTheta_i
95.6%2u2
95.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes72.0ms (0.5%)

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

8 calls:

10.0ms
u2
10.0ms
u1
9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
(-.f32 #s(literal 1 binary32) u1)
8.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
89.4%2u1
89.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
89.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
89.4%2(-.f32 #s(literal 1 binary32) u1)
92.0%2u2
92.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
92.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes87.0ms (0.6%)

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

9 calls:

13.0ms
u2
9.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms
cosTheta_i
7.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
86.6%2u1
86.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
86.6%2(-.f32 #s(literal 1 binary32) u1)
82.6%1cosTheta_i
86.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
86.6%2u2
86.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes61.0ms (0.4%)

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

4 calls:

43.0ms
u1
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
u2
5.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
82.6%1u1
82.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
82.6%1u2
82.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 25 to 21 computations (16% saved)

regimes33.0ms (0.2%)

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

5 calls:

10.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
cosTheta_i
5.0ms
u1
5.0ms
u2
Results
AccuracySegmentsBranch
76.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
76.1%1cosTheta_i
76.1%1u2
76.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
76.1%1u1
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes12.0ms (0.1%)

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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1 binary32))
Calls

3 calls:

4.0ms
u1
4.0ms
cosTheta_i
4.0ms
u2
Results
AccuracySegmentsBranch
74.8%1u2
74.8%1cosTheta_i
74.8%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
8 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
Calls

3 calls:

4.0ms
u2
3.0ms
cosTheta_i
3.0ms
u1
Results
AccuracySegmentsBranch
72.2%1cosTheta_i
72.2%1u2
72.2%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -19.5b remaining (-170.3%)

Threshold costs -19.5b (-170.3%)

Counts
6 → 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 #s(literal -1 binary32) (/.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

3.0ms
u1
2.0ms
cosTheta_i
2.0ms
u2
Results
AccuracySegmentsBranch
64.3%1u2
64.3%1cosTheta_i
64.3%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.06540995091199875
0.07143066823482513
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.06540995091199875
0.07143066823482513
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.06540995091199875
0.07143066823482513
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.000788019155152142
0.0011361036449670792
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.012941794469952583
0.013868787325918674
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0006264752591960132
0.0006416954565793276
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify41.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
76×*-commutative_binary32
36×+-commutative_binary32
6×neg-sub0_binary32
6×neg-mul-1_binary32
6×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099339
1162339
2168339
3171339
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3489661/268435456 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2748779/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 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)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 8589935/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3489661/268435456 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3489661/268435456 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2748779/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2748779/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 u1)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) u1)))))) #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 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(sqrt.f32 u1)

soundness2.1s (15.6%)

Rules
7904×*-lowering-*.f32
7904×*-lowering-*.f64
6450×*-lowering-*.f32
6450×*-lowering-*.f64
5686×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07347399
124726166
091966166
07897775
128016491
088116491
02262
110062
255554
3465954
0869254
01313
12812
24112
35112
46512
58212
610412
711812
813012
913112
013112
058403
1369267
23816226
09335226
03063405
19972777
235142544
080672544
059264
1342243
22720230
08757230
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×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 941 to 585 computations (37.8% saved)

preprocess68.0ms (0.5%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1296 to 578 computations (55.4% saved)

end0.0ms (0%)

Profiling

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