Beckmann Sample, near normal, slope_x

Time bar (total: 15.3s)

analyze531.0ms (3.5%)

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: 328.0ms
...c/correct-round.rkt:119:19: 101.0ms (30.8% of total)
ival-<=: 57.0ms (17.4% of total)
ival-log: 38.0ms (11.6% of total)
ival-mult: 34.0ms (10.4% of total)
ival-cos: 24.0ms (7.3% of total)
ival-sub: 15.0ms (4.6% of total)
ival-sqrt: 13.0ms (4% of total)
ival-and: 12.0ms (3.7% of total)
ival-neg: 12.0ms (3.7% of total)
ival-pi: 10.0ms (3.1% of total)
ival->: 8.0ms (2.4% of total)
const: 2.0ms (0.6% of total)
backward-pass: 1.0ms (0.3% of total)

sample2.2s (14.1%)

Results
1.7s8256×0valid
3.0ms9×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.3s
...c/correct-round.rkt:119:19: 354.0ms (26.5% of total)
ival-mult: 177.0ms (13.3% of total)
ival-log: 173.0ms (13% of total)
ival-<=: 128.0ms (9.6% of total)
ival-cos: 115.0ms (8.6% of total)
ival-sub: 79.0ms (5.9% of total)
ival->: 78.0ms (5.8% of total)
ival-sqrt: 64.0ms (4.8% of total)
ival-and: 56.0ms (4.2% of total)
ival-pi: 52.0ms (3.9% of total)
ival-neg: 44.0ms (3.3% of total)
const: 9.0ms (0.7% of total)
backward-pass: 3.0ms (0.2% 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
199121
2191121
3344121
4617121
51232121
61708121
72334121
83912121
94671121
104762121
114776121
124788121
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Call 2
Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(fnmsub (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))) 0)
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (cos (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(abs u2)

explain154.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1943(0.9999669194221497 0.0050547062419354916 0.0008543247822672129)0-(log.f32 (-.f32 #s(literal 1 binary32) u1))
30-3(0.9999274015426636 0.04292775318026543 0.2470136284828186)(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-u1
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-u2
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-(-.f32 #s(literal 1 binary32) u1)
Results
104.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 14.0ms (28.3% of total)
ival-log: 9.0ms (18.2% of total)
ival-cos: 8.0ms (16.2% of total)
ival-neg: 6.0ms (12.1% of total)
ival-sub: 5.0ms (10.1% of total)
ival-sqrt: 4.0ms (8.1% of total)
ival-pi: 2.0ms (4% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶57.3%
(*.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)

simplify10.0ms (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
14190
25590
36590
48490
510490
612190
713690
813790
013790
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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(cos (* (* 2 (PI)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize110.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.6%
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy98.8%
(*.f32 (PI.f32) u2)
✓accuracy99.6%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy98.8%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy55.6%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
84.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 9.0ms (20.1% of total)
ival-log: 9.0ms (20.1% of total)
ival-cos: 7.0ms (15.6% of total)
ival-sqrt: 6.0ms (13.4% of total)
compiled-spec: 6.0ms (13.4% of total)
ival-neg: 3.0ms (6.7% of total)
ival-sub: 2.0ms (4.5% 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)

series50.0ms (0.3%)

Counts
12 → 168
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 (cos (* (* 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 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 (* 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

42 calls:

TimeVariablePointExpression
35.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite497.0ms (3.2%)

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
02268
19468
253860
3458060
0845060
Stop Event
1×iter limit
1×node limit
Counts
12 → 367
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)
(cos (* (* 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 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 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))))))))
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(fma.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (neg.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (*.f32 (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))))))
(/.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 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify296.0ms (1.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03063514
19822874
234892640
080432640
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 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 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 u1) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 #s(literal -1 binary32))))
(- (+ (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)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (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 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/6 binary32)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))))) (*.f32 u1 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)))) (*.f32 u1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (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 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) u1))
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(-.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 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #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))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 u1) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 #s(literal -1 binary32))))
(- (+ (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)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.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))))
(* 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 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.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))))

eval40.0ms (0.3%)

Compiler

Compiled 14387 to 1281 computations (91.1% saved)

prune82.0ms (0.5%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New51223535
Fresh000
Picked022
Done000
Total51225537
Accuracy
99.6%
Counts
537 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(*.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)))
92.9%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.3%
(*.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)))
84.6%
(*.f32 (sqrt.f32 (neg.f32 (/.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.8%
(*.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)))
98.8%
(*.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))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
98.7%
(*.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)))))
98.7%
(*.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 #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)))))))
▶98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
87.8%
(*.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))))))
▶98.9%
(*.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 (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 (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)))))
98.7%
(*.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 (PI.f32) u2))))
▶79.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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))))
▶52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
✓57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
76.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1233 to 847 computations (31.3% saved)

simplify187.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.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))))
✓cost-diff64
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓cost-diff64
(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓cost-diff0
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
✓cost-diff0
(*.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)))
✓cost-diff32
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
✓cost-diff64
(*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
✓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)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
✓cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) 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-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓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 (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)))))
✓cost-diff128
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
✓cost-diff3520
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
Rules
2012×*-lowering-*.f32
2012×*-lowering-*.f64
1896×+-lowering-+.f64
1896×+-lowering-+.f32
1430×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052372
1124366
2293347
3832342
41961293
54518293
08165293
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
1/2
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(* (cos (* 2 (* (PI) u2))) 1/2)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(- 1 (cos (* 2 (* (PI) u2))))
1
-2
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
1
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(+ 1 (* (* u2 u2) (* (PI) (* (PI) -2))))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(* u2 u2)
u2
(* (PI) (* (PI) -2))
(PI)
(* (PI) -2)
-2
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)
(* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))
(- 0 (log (+ 1 u1)))
0
(log (+ 1 u1))
u1
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1))
(/ (pow (cos (* (PI) u2)) 4) 1)
(pow (cos (* (PI) u2)) 4)
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
4
1
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow (sin (* (PI) u2)) 4)
(sin (* (PI) u2))
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (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 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
1/2
#s(literal 1/2 binary32)
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(/ (- 1 (cos (* 2 (* (PI) u2)))) -2)
(+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal -1/2 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)
(* (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 (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(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
(+ 1 (* (* u2 u2) (* (PI) (* (PI) -2))))
(+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32))))))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32)))))
(* u2 u2)
(*.f32 u2 u2)
u2
(* (PI) (* (PI) -2))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
(PI)
(PI.f32)
(* (PI) -2)
(*.f32 (PI.f32) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (*.f32 (log1p.f32 u1) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)
(pow.f32 (*.f32 (log1p.f32 u1) (log1p.f32 u1)) #s(literal 1/4 binary32))
(* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))
(*.f32 (log1p.f32 u1) (log1p.f32 u1))
(- 0 (log (+ 1 u1)))
(neg.f32 (log1p.f32 u1))
0
#s(literal 0 binary32)
(log (+ 1 u1))
(log1p.f32 u1)
u1
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))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(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
(- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1))
(-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(/ (pow (cos (* (PI) u2)) 4) 1)
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (cos (* (PI) u2)) 4)
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
4
#s(literal 4 binary32)
1
#s(literal 1 binary32)
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (sin (* (PI) u2)) 4)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))

localize293.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.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))))
✓accuracy98.8%
(*.f32 (PI.f32) u2)
✓accuracy98.8%
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓accuracy97.0%
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓accuracy99.6%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.5%
(*.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)))
✓accuracy98.8%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.8%
(*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
✓accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
✓accuracy98.8%
(*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
✓accuracy55.6%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓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))))
✓accuracy99.5%
(*.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 (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)))))
✓accuracy99.2%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))
✓accuracy98.8%
(*.f32 (PI.f32) u2)
✓accuracy39.4%
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Results
211.0ms256×0valid
Compiler

Compiled 389 to 52 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 23.0ms (22% of total)
compiled-spec: 14.0ms (13.4% of total)
ival-log: 13.0ms (12.4% of total)
ival-cos: 10.0ms (9.6% of total)
ival-pow: 10.0ms (9.6% of total)
ival-add: 7.0ms (6.7% of total)
ival-div: 6.0ms (5.7% of total)
ival-neg: 6.0ms (5.7% of total)
ival-sin: 5.0ms (4.8% of total)
ival-sub: 5.0ms (4.8% of total)
ival-sqrt: 4.0ms (3.8% of total)
ival-pi: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series125.0ms (0.8%)

Counts
27 → 360
Calls
Call 1
Inputs
#<alt (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))>
#<alt (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))>
#<alt (- 0 (log (+ 1 u1)))>
#<alt (* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))>
#<alt (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)>
#<alt (/ (pow (cos (* (PI) u2)) 4) 1)>
#<alt (/ (pow (sin (* (PI) u2)) 4) 1)>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))>
#<alt (- 1 (cos (* 2 (* (PI) u2))))>
#<alt (* (PI) u2)>
#<alt (neg u1)>
#<alt (* (PI) (* (PI) -2))>
#<alt (* (* u2 u2) (* (PI) (* (PI) -2)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (pow (sin (* (PI) u2)) 4)>
#<alt (pow (cos (* (PI) u2)) 4)>
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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
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#<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))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (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) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/6 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6)))) (* -2/3 (pow (PI) 6))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 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 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 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 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 (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
Calls

90 calls:

TimeVariablePointExpression
32.0ms
u1
@0
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
29.0ms
u2
@inf
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
16.0ms
u2
@0
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
10.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
3.0ms
u1
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))

rewrite360.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
2554×*-lowering-*.f32
2554×*-lowering-*.f64
2440×fma-lowering-fma.f32
2440×fma-lowering-fma.f64
1876×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052249
1299224
22419149
08447149
Stop Event
1×iter limit
1×node limit
Counts
27 → 865
Calls
Call 1
Inputs
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))
(+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (- 1 (cos (* 2 (* (PI) u2)))) -2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(* (sqrt (neg (log (+ 1 (neg u1))))) 1)
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (+ 1 (* (* u2 u2) (* (PI) (* (PI) -2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1))))
(- 0 (log (+ 1 u1)))
(* (pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2)))
(pow (* (- 0 (log (+ 1 u1))) (- 0 (log (+ 1 u1)))) 1/4)
(/ (pow (cos (* (PI) u2)) 4) 1)
(/ (pow (sin (* (PI) u2)) 4) 1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(- 1 (cos (* 2 (* (PI) u2))))
(* (PI) u2)
(neg u1)
(* (PI) (* (PI) -2))
(* (* u2 u2) (* (PI) (* (PI) -2)))
(* (* 2 (PI)) u2)
(cos (* (* 2 (PI)) u2))
(pow (sin (* (PI) u2)) 4)
(pow (cos (* (PI) u2)) 4)
Outputs
(+.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 #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)))
(pow.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32)))) #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 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 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (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)))) #s(literal -1 binary32))
(fma.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))))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(fma.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (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 1/2 binary32)))
(fma.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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 1/2 binary32))))
(-.f32 #s(literal -1/2 binary32) (-.f32 (/.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 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (+.f32 (+.f32 #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))) #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 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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))))
(-.f32 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.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 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (-.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (pow.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (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 1/2 binary32)))))))
(/.f32 (-.f32 (pow.f32 (-.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 1/2 binary32)))) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (-.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 1/2 binary32)))) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 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 (+.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(/.f32 (-.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal -4 binary32)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.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 1/2 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 (-.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 1/2 binary32)))) (-.f32 (-.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 1/2 binary32)))) #s(literal 1/2 binary32))))))
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 12 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 12 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 4 binary32))))))
(*.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (-.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 1/2 binary32)))) #s(literal 2 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 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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(neg.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.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 2 binary32)))
(exp.f32 (*.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 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 2 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (sin.f32 (*.f32 (PI.f32) u2))))
(/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #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 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 (-.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))) #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 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))) #s(literal 1 binary32)))
(*.f32 (*.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 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 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(neg.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.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 2 binary32)))
(exp.f32 (*.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 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 2 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))
(/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(*.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #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 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 (+.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))) #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 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))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))

simplify451.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
9392×*-lowering-*.f32
9392×*-lowering-*.f64
4888×+-lowering-+.f64
4888×+-lowering-+.f32
1594×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08158598
128387210
092807210
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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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))))
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 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 u2 (*.f32 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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (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 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 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 u2 (*.f32 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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal 1 binary32))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (+.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 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) (neg.f32 u1)))) (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.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 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) u1)))
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(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 4) (pow (sin (* u2 (PI))) 4))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (-.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)))))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -2/315 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/45 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(* 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 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 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 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 u2 (*.f32 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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(* (pow u2 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) #s(literal 2 binary32))))))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/9 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -2/3 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (PI.f32)) (PI.f32))))))))))))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)))) (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))

eval202.0ms (1.3%)

Compiler

Compiled 49288 to 3582 computations (92.7% saved)

prune321.0ms (2.1%)

Pruning

68 alts after pruning (63 fresh and 5 done)

PrunedKeptTotal
New1572531625
Fresh81018
Picked235
Done022
Total1582681650
Accuracy
99.8%
Counts
1650 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
67.2%
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) u2) (*.f32 (*.f32 u2 u2) u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (-.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) #s(literal 1 binary32)))))
67.3%
(+.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
4.7%
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
67.1%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
62.6%
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
71.9%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
73.4%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
92.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 (/.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))))
82.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
92.9%
(*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
92.9%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
90.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (-.f32 (/.f32 (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))))
81.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.8%
(*.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))
87.3%
(*.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)))
87.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))
78.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
87.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
71.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
84.8%
(*.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)))
▶69.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
79.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
45.7%
(*.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))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
▶79.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal -4 binary32))))
98.7%
(*.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)))))
98.7%
(*.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 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (-.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 1/2 binary32)))) (-.f32 (-.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 1/2 binary32)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.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 1/2 binary32)))) #s(literal 3 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))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (*.f32 (log.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 2 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal 1 binary32)))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
▶98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
✓98.9%
(*.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 (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)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))))) #s(literal -2 binary32)))))
98.8%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) #s(literal -2 binary32)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))) #s(literal -2 binary32)))))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
98.4%
(*.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)))))
98.7%
(*.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 (PI.f32) u2))))
✓79.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
✓57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
▶75.8%
(*.f32 (sqrt.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))))
68.9%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
76.0%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
4.1%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
76.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
63.9%
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶4.7%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
72.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
62.5%
(sqrt.f32 (log1p.f32 u1))
61.8%
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
Compiler

Compiled 3468 to 2325 computations (33% saved)

simplify182.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.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))))
✓cost-diff64
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓cost-diff64
(/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓cost-diff0
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
✓cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓cost-diff32
(neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1)))))
✓cost-diff64
(+.f32 #s(literal 0 binary32) u1)
✓cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32))
✓cost-diff160
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))))
Rules
2096×*-lowering-*.f32
2096×*-lowering-*.f64
1156×fma-lowering-fma.f32
1156×fma-lowering-fma.f64
1130×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
061498
1144472
2339468
31002466
41845466
53820464
08103464
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2)))
1/2
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2))
(* (cos (* 2 (* (PI) u2))) 1/2)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2)
(/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))
1
(/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))
(+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1)))
(* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))
(+ (cos (* 2 (* (PI) u2))) 1)
(- 1 (pow (cos (* 2 (* (PI) u2))) 3))
(pow (cos (* 2 (* (PI) u2))) 3)
3
-2
(* (sqrt u1) -1)
(sqrt u1)
u1
-1
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1)
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))))
(neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))
(log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))
(/ (- 0 (* u1 u1)) (+ 0 u1))
(- 0 (* u1 u1))
0
(* u1 u1)
u1
(+ 0 u1)
1
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) 1)
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(log (+ 1 (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 u1))
(+ 1 u1)
1
(* (sqrt u1) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(sqrt u1)
u1
(- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1))
(/ (pow (cos (* (PI) u2)) 4) 1)
(pow (cos (* (PI) u2)) 4)
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
4
1
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow (sin (* (PI) u2)) 4)
(sin (* (PI) u2))
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2))))
(*.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 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (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))))))
(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 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2)))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (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)))))
1/2
#s(literal 1/2 binary32)
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2))
(+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (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))))
(* (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)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (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)))
(/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))
1
#s(literal 1 binary32)
(/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (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)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))
(+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1)))
(+.f32 #s(literal 1 binary32) (*.f32 (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))))))
(* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))
(*.f32 (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)))))
(+ (cos (* 2 (* (PI) u2))) 1)
(+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(- 1 (pow (cos (* 2 (* (PI) u2))) 3))
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))
(pow (cos (* 2 (* (PI) u2))) 3)
(pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))
3
#s(literal 3 binary32)
-2
#s(literal -2 binary32)
(* (sqrt u1) -1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
-1
#s(literal -1 binary32)
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))
(log1p.f32 (neg.f32 u1))
(/ (- 0 (* u1 u1)) (+ 0 u1))
(neg.f32 u1)
(- 0 (* u1 u1))
(/.f32 u1 (/.f32 #s(literal -1 binary32) u1))
0
#s(literal 0 binary32)
(* u1 u1)
(*.f32 u1 u1)
u1
(+ 0 u1)
u1
1
#s(literal 1 binary32)
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) 1)
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(log (+ 1 (* u1 (+ 1 u1))))
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
(* (sqrt u1) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(*.f32 (sqrt.f32 u1) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(sqrt u1)
(sqrt.f32 u1)
u1
(- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1))
(-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(/ (pow (cos (* (PI) u2)) 4) 1)
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (cos (* (PI) u2)) 4)
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
4
#s(literal 4 binary32)
1
#s(literal 1 binary32)
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (sin (* (PI) u2)) 4)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))

localize912.0ms (5.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(*.f32 (PI.f32) u2)
✓accuracy99.1%
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓accuracy97.8%
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓accuracy78.0%
(PI.f32)
✓accuracy99.6%
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
✓accuracy99.3%
(*.f32 u1 (*.f32 u1 u1))
✓accuracy99.1%
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓accuracy100.0%
(neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))
✓accuracy100.0%
(log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1)))
✓accuracy99.8%
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1)))))
✓accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.2%
(pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))
✓accuracy99.1%
(*.f32 (PI.f32) u2)
✓accuracy78.0%
(PI.f32)
✓accuracy55.7%
(-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))
Results
403.0ms60×5exit
169.0ms143×0valid
97.0ms53×1valid
Compiler

Compiled 579 to 59 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 298.0ms
backward-pass: 96.0ms (32.3% of total)
compiled-spec: 43.0ms (14.4% of total)
ival-mult: 27.0ms (9.1% of total)
ival-log: 26.0ms (8.7% of total)
ival-add: 20.0ms (6.7% of total)
ival-pow: 18.0ms (6% of total)
ival-div: 17.0ms (5.7% of total)
ival-sqrt: 15.0ms (5% of total)
ival-cos: 10.0ms (3.4% of total)
ival-neg: 8.0ms (2.7% of total)
ival-sub: 7.0ms (2.4% of total)
ival-sin: 5.0ms (1.7% of total)
const: 3.0ms (1% of total)
ival-pi: 2.0ms (0.7% of total)

series42.0ms (0.3%)

Counts
28 → 348
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* (sqrt u1) -1)>
#<alt (sqrt u1)>
#<alt (/ (- 0 (* u1 u1)) (+ 0 u1))>
#<alt (* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1)>
#<alt (+ 0 u1)>
#<alt (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))))>
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) 1)>
#<alt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))>
#<alt (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))>
#<alt (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))>
#<alt (/ (pow (cos (* (PI) u2)) 4) 1)>
#<alt (/ (pow (sin (* (PI) u2)) 4) 1)>
#<alt (* (sqrt u1) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))>
#<alt (- 1 (pow (cos (* 2 (* (PI) u2))) 3))>
#<alt (PI)>
#<alt (* (PI) u2)>
#<alt (pow (cos (* 2 (* (PI) u2))) 3)>
#<alt (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))>
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#<alt (pow (sin (* (PI) u2)) 4)>
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Outputs
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#<alt (* -1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))>
#<alt (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))))) (+ (* 2/315 (pow (PI) 8)) (+ (* 4/315 (pow (PI) 8)) (+ (* 4/9 (pow (PI) 8)) (+ (* 2/3 (* (pow (PI) 4) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* 32/45 (pow (PI) 8))))))))) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<alt (- 1 (pow (cos (* 2 (* u2 (PI)))) 3))>
#<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 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)>
#<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 u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (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 (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
#<alt (pow (cos (* u2 (PI))) 4)>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
u2
@0
(/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))
3.0ms
u2
@-inf
(* (sqrt u1) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
2.0ms
u1
@0
(* (sqrt u1) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
2.0ms
u2
@inf
(/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))
2.0ms
u2
@-inf
(/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))

rewrite344.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2648×*-lowering-*.f32
2648×*-lowering-*.f64
1896×fma-lowering-fma.f32
1896×fma-lowering-fma.f64
1378×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061227
1393170
23604126
08980126
Stop Event
1×iter limit
1×node limit
Counts
28 → 674
Calls
Call 1
Inputs
(/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (/ 1 (/ (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) 1))) (- 1 (pow (cos (* 2 (* (PI) u2))) 3)))) -2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (sqrt u1) -1)
(sqrt u1)
(/ (- 0 (* u1 u1)) (+ 0 u1))
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1)
(+ 0 u1)
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))))
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) 1)
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))
(/ (pow (cos (* (PI) u2)) 4) 1)
(/ (pow (sin (* (PI) u2)) 4) 1)
(* (sqrt u1) (- (/ (pow (cos (* (PI) u2)) 4) 1) (/ (pow (sin (* (PI) u2)) 4) 1)))
(- 1 (pow (cos (* 2 (* (PI) u2))) 3))
(PI)
(* (PI) u2)
(pow (cos (* 2 (* (PI) u2))) 3)
(log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))
(neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))
(* u1 (+ 1 u1))
(log (+ 1 (* u1 (+ 1 u1))))
(* u1 (* u1 u1))
(pow (sin (* (PI) u2)) 4)
(pow (cos (* (PI) u2)) 4)
Outputs
(neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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))))))) (*.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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))))))) (neg.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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))))))) (*.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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))))))) (neg.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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))))))) (neg.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (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 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (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))))) (-.f32 (*.f32 (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 1 binary32)))) (*.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (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 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (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))))) (-.f32 (*.f32 (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 1 binary32)))) (neg.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (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 #s(literal 1 binary32) (*.f32 (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)))))) (*.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (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 #s(literal 1 binary32) (*.f32 (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)))))) (neg.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (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)))))))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
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(log1p.f32 (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)) u1))
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(fma.f32 (*.f32 u1 u1) u1 #s(literal 0 binary32))
(fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32) #s(literal 0 binary32))
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(/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) u1)
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(/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 u1)) (*.f32 u1 u1))
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(*.f32 (*.f32 u1 u1) u1)
(*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
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(*.f32 (*.f32 u1 (*.f32 u1 u1)) (pow.f32 (/.f32 u1 u1) #s(literal 3 binary32)))
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(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 u1 #s(literal -3 binary32)))
(*.f32 (pow.f32 u1 #s(literal -3 binary32)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
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(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 3 binary32)) (*.f32 u1 (*.f32 u1 u1)))
(neg.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.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 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))))) #s(literal 4 binary32)))
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) #s(literal -1 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 2 binary32))
(pow.f32 (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))) #s(literal 4 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))))
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
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(*.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))) #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 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))) #s(literal 1 binary32)))
(*.f32 (*.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 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 1 binary32) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) #s(literal -1 binary32)))
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(*.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))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(*.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) #s(literal 2 binary32)))

simplify501.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
6220×*-lowering-*.f32
6220×*-lowering-*.f64
5374×+-lowering-+.f64
5374×+-lowering-+.f32
1980×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06977956
125276555
090096555
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* -1/3 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))
(* (pow u2 2) (+ (* -1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* (pow u2 2) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))
(* (pow u2 2) (+ (* -1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* (pow u2 2) (- (+ (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* (pow u2 2) (- (* -1/3 (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))) (+ (* -1/9 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))
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(* -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)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(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)
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
(pow (cos (* u2 (PI))) 4)
Outputs
(* -1/3 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))
(*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)))
(* (pow u2 2) (+ (* -1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* (pow u2 2) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (*.f32 (*.f32 u2 u2) (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32)))))))
(* (pow u2 2) (+ (* -1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* (pow u2 2) (- (+ (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* (pow u2 2) (- (* -1/3 (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))) (+ (* -1/9 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/15 binary32)) (*.f32 #s(literal -16/3 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal -1/9 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 6 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32))))))) (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32))))))))
(* (pow u2 2) (+ (* -1/3 (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))) (* (pow u2 2) (- (+ (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* (pow u2 2) (- (+ (* -1/3 (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))) (* (pow u2 2) (- (* -1/3 (+ (* -2 (* (pow (PI) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))))) (+ (* 2/315 (pow (PI) 8)) (+ (* 4/315 (pow (PI) 8)) (+ (* 4/9 (pow (PI) 8)) (+ (* 2/3 (* (pow (PI) 4) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* 32/45 (pow (PI) 8)))))))) (+ (* -1/9 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* -8/3 (pow (PI) 6)) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))) (+ (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* -1/3 (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))) (+ (* -1/9 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))))) (* 1/3 (* (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2)))))))))) (+ (* -1/9 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/3 (* (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) (- (* -1/3 (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))))) (* -1/9 (pow (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))) 2))))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/15 binary32)) (*.f32 #s(literal -16/3 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (-.f32 (*.f32 (*.f32 u2 u2) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -128/45 binary32))) (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal 2/315 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (+.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 16/35 binary32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 32/45 binary32)))))) (*.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -44/15 binary32))))) (*.f32 #s(literal 1/3 binary32) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -6 binary32)) (-.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 16/3 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/15 binary32)) (*.f32 #s(literal -16/3 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal -1/9 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 6 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32))))))) (*.f32 (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 6 binary32))))))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/9 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 6 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -6 binary32)) (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32))))))))) (-.f32 (+.f32 (*.f32 #s(literal -2/9 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 40/3 binary32)))) (*.f32 #s(literal -1/9 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 36 binary32))))))))
(/ (- 1 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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 (pow (cos (* 2 (* u2 (PI)))) 3)) (+ 1 (* (cos (* 2 (* u2 (PI)))) (+ 1 (cos (* 2 (* u2 (PI))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 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))))))))
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(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -2/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32)))))))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 u1))))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 u1)))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(+.f32 (+.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -2/3 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(* -2 (log (/ -1 u1)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1)) #s(literal -1 binary32)) u1))
(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))
(* (pow u2 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/9 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)))))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/9 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32))))))))))))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)) (PI.f32)) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)))))))))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (cos (* u2 (PI))) 4)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))

eval232.0ms (1.5%)

Compiler

Compiled 44834 to 5420 computations (87.9% saved)

prune262.0ms (1.7%)

Pruning

79 alts after pruning (71 fresh and 8 done)

PrunedKeptTotal
New1295221317
Fresh94958
Picked235
Done055
Total1306791385
Accuracy
99.9%
Counts
1385 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
67.2%
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) u2) (*.f32 (*.f32 u2 u2) u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (-.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) #s(literal 1 binary32)))))
4.7%
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
68.9%
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
71.7%
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
67.1%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
71.9%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
4.7%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
75.6%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
▶73.4%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
69.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
92.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 (/.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))))
82.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
92.9%
(*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
92.9%
(*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
92.9%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
90.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (-.f32 (/.f32 (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))))
81.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.8%
(*.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))
69.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) #s(literal 1 binary32))
87.3%
(*.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)))
71.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
87.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))
78.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
87.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
84.8%
(*.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)))
✓69.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
79.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
45.7%
(*.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))
▶79.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
78.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))) #s(literal 1 binary32))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal -4 binary32))))
98.7%
(*.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)))))
98.7%
(*.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (*.f32 (log.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 2 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal 1 binary32)))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
98.7%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
✓98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
✓98.9%
(*.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 (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)))))
▶98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32))) #s(literal -2 binary32)))))
98.8%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) #s(literal -2 binary32)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))) #s(literal -2 binary32)))))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
98.4%
(*.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)))))
98.7%
(*.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 (PI.f32) u2))))
✓79.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
✓57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
▶75.9%
(*.f32 (sqrt.f32 u1) (-.f32 (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 2 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
75.8%
(*.f32 (sqrt.f32 u1) (-.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))))
75.9%
(*.f32 (sqrt.f32 u1) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) 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))))
68.9%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
76.0%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
4.1%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
76.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓4.7%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
72.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
62.5%
(sqrt.f32 (log1p.f32 u1))
▶63.9%
(sqrt.f32 u1)
Compiler

Compiled 3915 to 2667 computations (31.9% saved)

simplify175.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 (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 2 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.f32 u1) (-.f32 (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 2 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
✓cost-diff64
(/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
✓cost-diff0
(sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
✓cost-diff32
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
✓cost-diff64
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓cost-diff64
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1))))
✓cost-diff32
(/.f32 (*.f32 u1 u1) #s(literal -1 binary32))
✓cost-diff64
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
✓cost-diff128
(/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)
✓cost-diff0
(sqrt.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32))) #s(literal -2 binary32)))))
✓cost-diff128
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32))) #s(literal -2 binary32))))
✓cost-diff9920
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)))
Rules
2540×*-lowering-*.f32
2540×*-lowering-*.f64
2468×+-lowering-+.f64
2468×+-lowering-+.f32
1424×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049345
1111319
2217319
3513314
41638310
54864310
08195310
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2)))
1/2
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))
(* (cos (* 2 (* (PI) u2))) 1/2)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2)
(* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2))
(pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)
(- 1 (cos (* 2 (* (PI) u2))))
1
-2
(sqrt u1)
u1
(* (sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))) 1)
(sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1)))))
(neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))
(log (+ 1 (/ (/ (* u1 u1) -1) u1)))
(/ (/ (* u1 u1) -1) u1)
(/ (* u1 u1) -1)
(* u1 u1)
u1
-1
1
(* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) 1)
(sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1))))
(+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))
(log (/ 1 (- 1 (* u1 u1))))
(/ 1 (- 1 (* u1 u1)))
1
(- 1 (* u1 u1))
(* u1 u1)
u1
(log (+ 1 u1))
(* (sqrt u1) (- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1)))
(sqrt u1)
u1
(- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1))
(pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2)
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
1/2
(* (cos (* 2 (* (PI) u2))) 1/2)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow (sin (* (PI) u2)) 4)
(sin (* (PI) u2))
4
1
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -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 (PI.f32) u2)))) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2)))
(+.f32 (*.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))) #s(literal 2 binary32)))
1/2
#s(literal 1/2 binary32)
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))
(* (cos (* 2 (* (PI) u2))) 1/2)
(*.f32 #s(literal 1/2 binary32) (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
(/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2)
(+.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
(* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)
(pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 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)
(sqrt u1)
(sqrt.f32 u1)
u1
(* (sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (/ (/ (* u1 u1) -1) u1)))
(log1p.f32 (neg.f32 u1))
(/ (/ (* u1 u1) -1) u1)
(neg.f32 u1)
(/ (* u1 u1) -1)
(*.f32 u1 (neg.f32 u1))
(* u1 u1)
(*.f32 u1 u1)
u1
-1
#s(literal -1 binary32)
1
#s(literal 1 binary32)
(* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log (/ 1 (- 1 (* u1 u1))))
(neg.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(/ 1 (- 1 (* u1 u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
1
#s(literal 1 binary32)
(- 1 (* u1 u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
u1
(log (+ 1 u1))
(log1p.f32 u1)
(* (sqrt u1) (- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1)))
(*.f32 (sqrt.f32 u1) (-.f32 (pow.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 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(sqrt u1)
(sqrt.f32 u1)
u1
(- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1))
(-.f32 (pow.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 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2)
(pow.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 2 binary32))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
1/2
#s(literal 1/2 binary32)
(* (cos (* 2 (* (PI) u2))) 1/2)
(*.f32 #s(literal 1/2 binary32) (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
(/ (pow (sin (* (PI) u2)) 4) 1)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow (sin (* (PI) u2)) 4)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
4
#s(literal 4 binary32)
1
#s(literal 1 binary32)

localize280.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f32 (sqrt.f32 u1) (-.f32 (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 2 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
✓accuracy99.3%
(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 2 binary32))
✓accuracy98.8%
(*.f32 (PI.f32) u2)
✓accuracy97.0%
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
✓accuracy99.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓accuracy99.7%
(sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
✓accuracy99.1%
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
✓accuracy31.8%
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓accuracy100.0%
(neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))
✓accuracy100.0%
(log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1))
✓accuracy99.7%
(/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1))))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy99.2%
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32))) #s(literal -2 binary32)))
✓accuracy98.8%
(*.f32 (PI.f32) u2)
✓accuracy98.5%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)))
✓accuracy39.4%
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Results
191.0ms255×0valid
1.0ms1×1valid
Compiler

Compiled 455 to 48 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
compiled-spec: 21.0ms (18.1% of total)
ival-log: 18.0ms (15.5% of total)
ival-mult: 15.0ms (13% of total)
ival-pow: 14.0ms (12.1% of total)
ival-div: 11.0ms (9.5% of total)
ival-add: 10.0ms (8.6% of total)
ival-sqrt: 7.0ms (6% of total)
ival-sub: 4.0ms (3.5% of total)
ival-cos: 4.0ms (3.5% of total)
ival-neg: 4.0ms (3.5% of total)
ival-pi: 3.0ms (2.6% of total)
ival-sin: 3.0ms (2.6% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.9% of total)

series21.0ms (0.1%)

Counts
24 → 312
Calls
Call 1
Inputs
#<alt (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2))>
#<alt (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (sqrt u1)>
#<alt (/ (/ (* u1 u1) -1) u1)>
#<alt (* (sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))) 1)>
#<alt (/ (* u1 u1) -1)>
#<alt (sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1)))))>
#<alt (* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) 1)>
#<alt (log (/ 1 (- 1 (* u1 u1))))>
#<alt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))>
#<alt (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1))))>
#<alt (/ (pow (sin (* (PI) u2)) 4) 1)>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1)))>
#<alt (- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1))>
#<alt (- 1 (cos (* 2 (* (PI) u2))))>
#<alt (* (PI) u2)>
#<alt (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))>
#<alt (log (+ 1 (/ (/ (* u1 u1) -1) u1)))>
#<alt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))>
#<alt (/ 1 (- 1 (* u1 u1)))>
#<alt (pow (sin (* (PI) u2)) 4)>
#<alt (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2)>
Outputs
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))>
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))>
#<alt (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
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#<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 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))>
#<alt (+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))))>
#<alt (+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1)))>
#<alt (+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))) (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))) u1)))>
#<alt (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))>
#<alt (* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))>
#<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) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<alt (* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))>
#<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 (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))>
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 2 (* u2 (PI)))))>
#<alt (- 1 (cos (* 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 1/2>
#<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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<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 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>
#<alt (+ 1 (pow u1 2))>
#<alt (+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))>
#<alt (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))))>
#<alt (/ -1 (pow u1 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2))>
#<alt (/ -1 (pow u1 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2))>
#<alt (* (pow u2 4) (pow (PI) 4))>
#<alt (* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))>
#<alt (* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt (pow (sin (* u2 (PI))) 4)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))) (pow (PI) 4)))))))>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
#<alt (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)>
Calls

78 calls:

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

rewrite340.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2524×*-lowering-*.f32
2524×*-lowering-*.f64
2508×fma-lowering-fma.f32
2508×fma-lowering-fma.f64
1764×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049241
1312193
22655147
08407147
Stop Event
1×iter limit
1×node limit
Counts
24 → 661
Calls
Call 1
Inputs
(* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2))
(+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1/2 (+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt u1)
(/ (/ (* u1 u1) -1) u1)
(* (sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))) 1)
(/ (* u1 u1) -1)
(sqrt (neg (log (+ 1 (/ (/ (* u1 u1) -1) u1)))))
(* (sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))) 1)
(log (/ 1 (- 1 (* u1 u1))))
(+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1)))
(sqrt (+ (log (/ 1 (- 1 (* u1 u1)))) (log (+ 1 u1))))
(/ (pow (sin (* (PI) u2)) 4) 1)
(* (sqrt u1) (- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1)))
(- (pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2) (/ (pow (sin (* (PI) u2)) 4) 1))
(- 1 (cos (* 2 (* (PI) u2))))
(* (PI) u2)
(+ (* (cos (* 2 (* (PI) u2))) 1/2) (/ (* (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2) (pow (- 1 (cos (* 2 (* (PI) u2)))) 1/2)) -2))
(log (+ 1 (/ (/ (* u1 u1) -1) u1)))
(neg (log (+ 1 (/ (/ (* u1 u1) -1) u1))))
(/ 1 (- 1 (* u1 u1)))
(pow (sin (* (PI) u2)) 4)
(pow (+ 1/2 (* (cos (* 2 (* (PI) u2))) 1/2)) 2)
Outputs
(exp.f32 (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
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(+.f32 (*.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 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 1/2 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 2 binary32))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(fma.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 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 1/2 binary32)))))
(fma.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 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 1/2 binary32)))))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (*.f32 (+.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))) #s(literal 1/2 binary32))))
(fma.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 (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))) #s(literal 1/2 binary32)))
(/.f32 (pow.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))) #s(literal 2 binary32)) (pow.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)))) #s(literal 2 binary32)))
(/.f32 (*.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 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) (*.f32 (+.f32 #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 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (+.f32 #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 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/4 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 (pow.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.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 (+.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 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) (+.f32 #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 1/8 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 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 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 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #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 1/4 binary32) (pow.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)))) (*.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 1/2 binary32)))))
(*.f32 (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 #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)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (pow.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))) #s(literal 2 binary32)) (pow.f32 (/.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))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1/4 binary32))
(*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)) #s(literal 1/2 binary32))

simplify438.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
5702×*-lowering-*.f32
5702×*-lowering-*.f64
3158×+-lowering-+.f64
3158×+-lowering-+.f32
1580×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05676675
119245563
275865539
082845539
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
(* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (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 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (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))))))) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 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 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
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(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))
(* -1 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))))
(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) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
(* (sqrt u1) (- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4)))
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)))))))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(- (pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2) (pow (sin (* u2 (PI))) 4))
(* 2 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(- 1 (cos (* 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))
1/2
(+ 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) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))
(* -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)))
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
(+ 1 (pow u1 2))
(+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))
(+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))))
(/ -1 (pow u1 2))
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2))
(/ -1 (pow u1 2))
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2))
(* (pow u2 4) (pow (PI) 4))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
(pow (sin (* u2 (PI))) 4)
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))) (pow (PI) 4)))))))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
Outputs
(* 2 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))
(*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -2/315 binary32))) (*.f32 #s(literal 4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(- 1 (cos (* 2 (* u2 (PI)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 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 u2 (*.f32 u2 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))))))))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI)))))))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 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)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1/2 (- 1 (cos (* 2 (* u2 (PI)))))) (* 1/2 (cos (* 2 (* u2 (PI))))))))))
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1/2
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(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (+.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))
(neg.f32 (+.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 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(neg.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
1
#s(literal 1 binary32)
(+ 1 (pow u1 2))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))))
(/ -1 (pow u1 2))
(/.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2)))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 u1 u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))
(/ -1 (pow u1 2))
(/.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2)))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 u1 u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 u1))
(* (pow u2 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (+ (* -2/3 (* (pow u2 2) (pow (PI) 6))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/9 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 2/45 binary32) (*.f32 (PI.f32) (PI.f32)))))))))))
(* (pow u2 4) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* (pow u2 2) (+ (* 1/9 (pow (PI) 8)) (+ (* 2 (* (pow (PI) 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* (pow u2 2) (+ (* -2/3 (* (pow (PI) 4) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 2 (* (pow (PI) 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8)))))))))))) (pow (PI) 4)))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/9 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal 2/45 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (*.f32 #s(literal -2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) #s(literal 2 binary32)))))))))))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
(pow (sin (* u2 (PI))) 4)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2/3 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -34/45 binary32)))))))))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(pow (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) 2)
(pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) #s(literal 2 binary32))

eval118.0ms (0.8%)

Compiler

Compiled 38271 to 3454 computations (91% saved)

prune290.0ms (1.9%)

Pruning

80 alts after pruning (72 fresh and 8 done)

PrunedKeptTotal
New1101221123
Fresh165066
Picked325
Done268
Total1122801202
Accuracy
99.9%
Counts
1202 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
63.7%
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
67.2%
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
67.2%
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) u2) (*.f32 (*.f32 u2 u2) u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (-.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) #s(literal 1 binary32)))))
4.7%
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
68.9%
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
67.1%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
71.9%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
4.7%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
75.6%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
77.6%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))) (log1p.f32 u1))) #s(literal 1 binary32))
73.5%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
✓73.4%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
69.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
92.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (-.f32 (/.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))))
82.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
92.9%
(*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
92.9%
(*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
90.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (-.f32 (/.f32 (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))))
81.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.8%
(*.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))
69.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal -5/3 binary32))))))) #s(literal 1 binary32))
87.3%
(*.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)))
71.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
87.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))
78.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
87.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
84.8%
(*.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)))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
49.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
78.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
79.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal -4 binary32))))
98.7%
(*.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)))))
98.7%
(*.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)))
38.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.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 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
38.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) #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 (PI.f32) u2))))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.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 -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))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))) #s(literal 1/2 binary32))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #s(literal -2 binary32)))))
98.7%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
✓98.9%
(*.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 (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)))))
98.8%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) #s(literal -2 binary32)))))
98.9%
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))) #s(literal -2 binary32)))))
87.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
98.4%
(*.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)))))
98.7%
(*.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 (PI.f32) u2))))
✓79.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
✓57.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
45.7%
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
32.2%
(*.f32 (sqrt.f32 u1) (fma.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))
75.9%
(*.f32 (sqrt.f32 u1) (-.f32 (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 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
75.8%
(*.f32 (sqrt.f32 u1) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
75.9%
(*.f32 (sqrt.f32 u1) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) 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))))
75.9%
(*.f32 (sqrt.f32 u1) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
71.5%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))))
68.9%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))))
4.1%
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
76.0%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓4.7%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
72.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
79.1%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
62.5%
(sqrt.f32 (log1p.f32 u1))
✓63.9%
(sqrt.f32 u1)
63.1%
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
Compiler

Compiled 4865 to 1946 computations (60% saved)

regimes539.0ms (3.5%)

Counts
122 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
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(*.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 (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 u1) (fma.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 (-.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(*.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 (log.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (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)))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) #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 (PI.f32) u2))))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.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 -2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 u1) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) 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 (exp.f32 (*.f32 (log.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 2 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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32))) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))))) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.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 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -4 binary32))) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) #s(literal -4 binary32))))
(*.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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (expm1.f32 (log1p.f32 (PI.f32))) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (-.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 1/2 binary32)))) (-.f32 (-.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 1/2 binary32)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.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 1/2 binary32)))) #s(literal 3 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (/.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
Calls

10 calls:

60.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
59.0ms
u1
55.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
53.0ms
u2
53.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%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)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes390.0ms (2.5%)

Counts
106 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
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(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (-.f32 (/.f32 (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))))
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(*.f32 (sqrt.f32 u1) (fma.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 (-.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(*.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 (log.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (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)))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #s(literal -2 binary32)))))
Outputs
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #s(literal -2 binary32)))))
Calls

10 calls:

68.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
47.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
44.0ms
(-.f32 #s(literal 1 binary32) u1)
33.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
32.0ms
u2
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.9%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)))
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes353.0ms (2.3%)

Counts
105 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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)))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 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 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 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))))))) (+.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 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))) (log1p.f32 u1))) #s(literal 1 binary32))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) u2) (*.f32 (*.f32 u2 u2) u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (-.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (log1p.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 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 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 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(*.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 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 u1) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.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 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (*.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 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (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 (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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 u1) (-.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))))
(*.f32 (sqrt.f32 u1) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.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 u1) (-.f32 (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 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(*.f32 (sqrt.f32 u1) (-.f32 (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 2 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 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 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #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))))))) (-.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 (*.f32 u1 (+.f32 #s(literal 1 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 (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 u1) (fma.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 (-.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 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)))) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sin.f32 (/.f32 (-.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 2 binary32))))) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(*.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 (log.f32 (-.f32 #s(literal 1 binary32) 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))))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (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)))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))
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:

57.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
50.0ms
(-.f32 #s(literal 1 binary32) u1)
32.0ms
cosTheta_i
32.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
30.0ms
u2
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%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)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes192.0ms (1.3%)

Counts
55 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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)))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 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 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 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))))))) (+.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 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))) (log1p.f32 u1))) #s(literal 1 binary32))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 u2 u2) u2) (*.f32 (*.f32 u2 u2) u2))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (-.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

9 calls:

34.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
25.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
20.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
16.0ms
u2
15.0ms
cosTheta_i
Results
AccuracySegmentsBranch
97.5%2u1
98.1%2u2
97.5%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.5%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
92.9%1cosTheta_i
97.5%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.5%2(-.f32 #s(literal 1 binary32) u1)
98.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes58.0ms (0.4%)

Counts
47 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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)))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 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 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

25.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
16.0ms
u2
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
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 21 to 18 computations (14.3% saved)

regimes127.0ms (0.8%)

Counts
44 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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)))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 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 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

8 calls:

30.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
16.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
15.0ms
u2
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
95.3%2u1
95.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.3%2(-.f32 #s(literal 1 binary32) u1)
96.8%2u2
96.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
96.8%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes48.0ms (0.3%)

Counts
42 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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)))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 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 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -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 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

3 calls:

18.0ms
u2
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
96.7%2u2
96.7%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes115.0ms (0.8%)

Counts
39 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.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 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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)))
(+.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) 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:

18.0ms
u2
13.0ms
cosTheta_i
13.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms
u1
Results
AccuracySegmentsBranch
93.2%2u1
93.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.2%2(-.f32 #s(literal 1 binary32) u1)
87.3%1cosTheta_i
93.8%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.8%2u2
93.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes122.0ms (0.8%)

Counts
36 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) u1)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 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
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
Calls

9 calls:

31.0ms
u1
16.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
cosTheta_i
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
u2
Results
AccuracySegmentsBranch
82.5%1cosTheta_i
87.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.7%2(-.f32 #s(literal 1 binary32) u1)
87.7%2u1
87.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
90.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
90.0%2u2
90.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes51.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 1/2 binary32))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(-.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1)))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
Calls

3 calls:

32.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
u2
8.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
90.0%2u2
90.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
90.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes54.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

6 calls:

18.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
8.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
u2
6.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
u1
Results
AccuracySegmentsBranch
86.1%2u1
86.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
86.1%2(-.f32 #s(literal 1 binary32) u1)
85.9%2u2
Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes41.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.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))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

5 calls:

14.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
7.0ms
u1
6.0ms
(-.f32 #s(literal 1 binary32) u1)
6.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
6.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
86.1%2u1
86.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
86.1%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes21.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

3 calls:

7.0ms
u2
6.0ms
cosTheta_i
6.0ms
u1
Results
AccuracySegmentsBranch
82.5%1cosTheta_i
82.5%1u2
82.5%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

3 calls:

7.0ms
u2
5.0ms
cosTheta_i
5.0ms
u1
Results
AccuracySegmentsBranch
81.0%1u1
81.0%1cosTheta_i
81.0%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

3 calls:

6.0ms
u2
4.0ms
u1
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
78.0%1u2
78.0%1cosTheta_i
78.0%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -5/3 binary32)))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

3 calls:

4.0ms
cosTheta_i
4.0ms
u1
4.0ms
u2
Results
AccuracySegmentsBranch
79.1%2u2
75.0%1cosTheta_i
78.6%2u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

3 calls:

4.0ms
u1
4.0ms
cosTheta_i
4.0ms
u2
Results
AccuracySegmentsBranch
73.8%1cosTheta_i
77.4%2u1
77.9%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 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))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.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 -5/3 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))
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
Calls

3 calls:

6.0ms
u1
3.0ms
u2
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
71.5%1cosTheta_i
75.1%2u1
75.6%2u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.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 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1 binary32))
Calls

2 calls:

3.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
71.5%1u1
71.5%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total -19.3b remaining (-167.5%)

Threshold costs -19.3b (-167.5%)

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

3 calls:

3.0ms
cosTheta_i
2.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
63.9%1cosTheta_i
63.9%1u1
63.9%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.998997688293457
0.9991141557693481
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.998997688293457
0.9991141557693481
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.998997688293457
0.9991141557693481
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.04209499806165695
0.04477714002132416
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0011968393810093403
0.0013006761437281966
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999441504478455
0.9999547004699707
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999441504478455
0.9999547004699707
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9269701242446899
0.9286530017852783
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9269701242446899
0.9286530017852783
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0015145490178838372
0.001682016532868147
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0015145490178838372
0.001682016532868147
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.00019048289686907083
0.00020700902678072453
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
88×*-commutative_binary32
44×+-commutative_binary32
16×sub-neg_binary32
12×neg-sub0_binary32
12×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117598
1192598
2208598
3216598
4218598
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #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))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16760439/16777216 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16760439/16777216 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))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16760439/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/33554432 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 5153961/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) 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 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776377/16777216 binary32)) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776377/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1946157/2097152 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1946157/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.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))))))) (+.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 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 13743895/68719476736 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 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 #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) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(*.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 (PI.f32) u2))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #s(literal -2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/4 binary32)) #s(literal 4 binary32)) #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))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16760439/16777216 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16760439/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16760439/16777216 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))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16760439/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16760439/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16760439/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/33554432 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 #s(literal 2 binary32) (PI.f32))) #s(literal 1476395/33554432 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 #s(literal 2 binary32) (PI.f32)))) (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 5153961/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) 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 #s(literal 2 binary32) (PI.f32))) #s(literal 5153961/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776377/16777216 binary32)) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16776377/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776377/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16776377/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1946157/2097152 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 u1 u1) u1))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1946157/2097152 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1946157/2097152 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.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))))))) (+.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 #s(literal 1/2 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 u2 #s(literal 13743895/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 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 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 13743895/8589934592 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 13743895/8589934592 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 13743895/68719476736 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 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))))
(if (<=.f32 u2 #s(literal 13743895/68719476736 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 u1)))
(*.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)

soundness2.9s (19.1%)

Rules
9392×*-lowering-*.f32
9392×*-lowering-*.f64
6220×*-lowering-*.f32
6220×*-lowering-*.f64
5686×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02268
19468
253860
3458060
0845060
049241
1312193
22655147
08407147
052249
1299224
22419149
08447149
03063514
19822874
234892640
080432640
061227
1393170
23604126
08980126
06977956
125276555
090096555
08158598
128387210
092807210
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1876 to 1134 computations (39.6% saved)

preprocess91.0ms (0.6%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 2050 to 800 computations (61% saved)

end0.0ms (0%)

Profiling

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