Beckmann Sample, near normal, slope_y

Time bar (total: 15.2s)

analyze470.0ms (3.1%)

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: 321.0ms
...c/correct-round.rkt:119:19: 84.0ms (26.2% of total)
ival-<=: 68.0ms (21.2% of total)
ival-mult: 42.0ms (13.1% of total)
ival-log: 33.0ms (10.3% of total)
ival-sin: 24.0ms (7.5% of total)
ival-sub: 16.0ms (5% of total)
ival-sqrt: 13.0ms (4.1% of total)
ival-neg: 12.0ms (3.7% of total)
ival->: 10.0ms (3.1% of total)
ival-and: 9.0ms (2.8% of total)
ival-pi: 7.0ms (2.2% of total)
const: 2.0ms (0.6% of total)
backward-pass: 1.0ms (0.3% of total)

sample2.5s (16.2%)

Results
2.0s8256×0valid
1.0ms6×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.7s
...c/correct-round.rkt:119:19: 348.0ms (21% of total)
ival-mult: 305.0ms (18.4% of total)
ival-log: 211.0ms (12.7% of total)
ival-<=: 176.0ms (10.6% of total)
ival-sin: 170.0ms (10.3% of total)
ival->: 107.0ms (6.5% of total)
ival-sub: 80.0ms (4.8% of total)
ival-pi: 75.0ms (4.5% of total)
ival-sqrt: 70.0ms (4.2% of total)
ival-neg: 58.0ms (3.5% of total)
ival-and: 43.0ms (2.6% of total)
const: 10.0ms (0.6% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess92.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
2146×fnmadd-define
1942×fma-define
1466×sum3-define
988×fmsub-define
968×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042135
199118
2195118
3372118
4758118
51629118
62380118
73135118
85576118
95980118
106185118
116259118
126287118
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)))) (sin (* (* 2 (PI)) u2)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Call 2
Inputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (sin (* (* 2 (PI)) u1)))
Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(* (sin (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p u1))) (sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) u2))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (sin (* (* 2 (PI)) u2)))
(* (sin (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (sin (* 2 (* (PI) cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (sin (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (sin (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain144.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2018(0.9999271631240845 0.007902981713414192 8.304275979753584e-5)2(0.9999080300331116 0.014840633608400822 0.11970078945159912)(log.f32 (-.f32 #s(literal 1 binary32) u1))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(sin.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
91.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 16.0ms (28.4% of total)
ival-mult: 11.0ms (19.5% of total)
ival-log: 10.0ms (17.8% of total)
ival-sin: 8.0ms (14.2% of total)
ival-sqrt: 5.0ms (8.9% of total)
ival-neg: 3.0ms (5.3% of total)
ival-pi: 2.0ms (3.6% of total)
const: 1.0ms (1.8% 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
▶98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* 2 (* (PI) u2)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (PI) u2))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize124.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.6%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy99.6%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy56.4%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
96.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-sqrt: 20.0ms (32.4% of total)
ival-mult: 11.0ms (17.8% of total)
ival-log: 9.0ms (14.6% of total)
ival-sin: 8.0ms (13% of total)
compiled-spec: 6.0ms (9.7% of total)
ival-neg: 4.0ms (6.5% of total)
ival-sub: 2.0ms (3.2% of total)
ival-pi: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.4%)

Counts
12 → 168
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* (PI) u2)>
#<alt (sin (* 2 (* (PI) u2)))>
Outputs
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
Calls

42 calls:

TimeVariablePointExpression
35.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
(neg (log (- 1 u1)))
2.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

rewrite262.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
2140×fma-lowering-fma.f32
2140×fma-lowering-fma.f64
1632×*-lowering-*.f32
1632×*-lowering-*.f64
1486×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02268
19368
250660
3425360
0840760
Stop Event
1×iter limit
1×node limit
Counts
12 → 415
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
(* (PI) u2)
(sin (* 2 (* (PI) u2)))
Outputs
(/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
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(+.f32 (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(fma.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))

simplify313.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
5968×*-lowering-*.f32
5968×*-lowering-*.f64
3478×+-lowering-+.f64
3478×+-lowering-+.f32
2350×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03183588
110453016
237422772
083852772
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
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(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(+ (* -1/2 (* (/ 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))))
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(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
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(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
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(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(+ (* (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))))))))
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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))
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(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32)))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (+.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))) u1))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32)) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))))) u1)) u1))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(*.f32 u2 (+.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))) (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))

eval46.0ms (0.3%)

Compiler

Compiled 13993 to 1659 computations (88.1% saved)

prune130.0ms (0.9%)

Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New55231583
Fresh000
Picked022
Done000
Total55233585
Accuracy
99.5%
Counts
585 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(*.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)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.6%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.7%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶54.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.0%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶98.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
93.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
90.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
▶97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
96.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32))))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
54.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
52.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
✓58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶76.1%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1807 to 1207 computations (33.2% saved)

simplify189.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff6528
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓cost-diff6528
(*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓cost-diff6528
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
✓cost-diff6528
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓cost-diff128
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
✓cost-diff160
(neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
✓cost-diff160
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
✓cost-diff160
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
✓cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
✓cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓cost-diff0
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(log1p.f32 (neg.f32 u1))
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
Rules
2762×fma-lowering-fma.f32
2762×fma-lowering-fma.f64
2032×fnmadd-define
1998×fmsub-define
1754×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050439
1129411
2340395
3893384
42105378
54768378
65984378
08340378
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(* 2 (sin (* (PI) u2)))
2
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(cos (* (PI) u2))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(sqrt u1)
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))))
(neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))
(- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))
(log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1)))))
(- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))
(+ 1 u1)
1
u1
(* u1 (* u1 (+ 1 u1)))
(* u1 (+ 1 u1))
(log (* (+ 1 u1) (+ 1 u1)))
(* (+ 1 u1) (+ 1 u1))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))))
(* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))
2
(* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))
(pow (PI) 1/2)
(PI)
1/2
(* u2 (pow (PI) 1/2))
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 2 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 2 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 2 binary32)))) (log1p.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 2 binary32)))))
(log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1)))))
(log1p.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(* u1 (* u1 (+ 1 u1)))
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(log (* (+ 1 u1) (+ 1 u1)))
(log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 2 binary32))))
(* (+ 1 u1) (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))
(*.f32 (PI.f32) u2)
(pow (PI) 1/2)
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(PI)
(PI.f32)
1/2
#s(literal 1/2 binary32)
(* u2 (pow (PI) 1/2))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
u2

localize316.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓accuracy98.9%
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓accuracy98.7%
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓accuracy98.6%
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
✓accuracy56.2%
(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓accuracy52.9%
(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
✓accuracy99.0%
(*.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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy100.0%
(PI.f32)
✓accuracy99.6%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy99.6%
(sin.f32 (*.f32 (PI.f32) u2))
✓accuracy99.6%
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
Results
195.0ms256×0valid
Compiler

Compiled 465 to 51 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 38.0ms (32.3% of total)
ival-log: 13.0ms (11% of total)
ival-sin: 11.0ms (9.3% of total)
ival-sqrt: 9.0ms (7.6% of total)
compiled-spec: 9.0ms (7.6% of total)
ival-add: 8.0ms (6.8% of total)
ival-pow: 7.0ms (5.9% of total)
...c/correct-round.rkt:119:19: 6.0ms (5.1% of total)
ival-neg: 5.0ms (4.2% of total)
ival-pi: 3.0ms (2.5% of total)
ival-sub: 3.0ms (2.5% of total)
ival-cos: 3.0ms (2.5% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series114.0ms (0.8%)

Counts
29 → 396
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt u1) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt u1)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))>
#<alt (* (sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))))>
#<alt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))>
#<alt (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))>
#<alt (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))))>
#<alt (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))>
#<alt (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))>
#<alt (* (PI) u2)>
#<alt (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))>
#<alt (sin (* (PI) u2))>
#<alt (PI)>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
#<alt (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1)))))>
#<alt (log (* (+ 1 u1) (+ 1 u1)))>
#<alt (* (+ 1 u1) (+ 1 u1))>
#<alt (* u2 (pow (PI) 1/2))>
Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* 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))))))>
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#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1))))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))))>
#<alt (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1)))>
#<alt 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 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (* -3 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -3 (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) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (* -3 (log (/ -1 u1))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1))))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* -1/5040 (* (pow u2 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (* 1/3 u1)>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -3/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -3/4 u1))) 3/2))))>
#<alt (+ (log -1) (* -3 (log (/ 1 u1))))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))>
#<alt (* -3 (log (/ -1 u1)))>
#<alt (+ (* -3 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))>
#<alt (* 2 u1)>
#<alt (* u1 (+ 2 (* -1 u1)))>
#<alt (* u1 (+ 2 (* u1 (- (* 2/3 u1) 1))))>
#<alt (* u1 (+ 2 (* u1 (- (* u1 (+ 2/3 (* -1/2 u1))) 1))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))) (/ 1 (pow u1 2)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (/ 1 u1) 2) u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 u1)) 1) u1)) 2) u1)))>
#<alt 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
Calls

99 calls:

TimeVariablePointExpression
33.0ms
u2
@inf
(* (sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))) (sin (* (* 2 (PI)) u2)))
19.0ms
u2
@0
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
11.0ms
u1
@-inf
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
8.0ms
u1
@0
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
5.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))

rewrite359.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
2960×*-lowering-*.f32
2960×*-lowering-*.f64
2048×/-lowering-/.f32
2048×/-lowering-/.f64
1790×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050234
1248194
21974184
08825184
Stop Event
1×iter limit
1×node limit
Counts
29 → 707
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(sqrt u1)
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(* (sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))))
(neg (- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1)))))
(- (log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1))))) (log (* (+ 1 u1) (+ 1 u1))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))
(sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))))
(* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))
(* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))
(* (PI) u2)
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(sin (* (PI) u2))
(PI)
(* u1 (+ 1/3 (* u1 1/4)))
(log (- (+ 1 u1) (* u1 (* u1 (+ 1 u1)))))
(log (* (+ 1 u1) (+ 1 u1)))
(* (+ 1 u1) (+ 1 u1))
(* u2 (pow (PI) 1/2))
Outputs
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1)))) (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1)))) (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)))))
(+.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)))))
(+.f32 (*.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1))) #s(literal -1 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 #s(literal 2 binary32) (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(fma.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1))) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1)) (neg.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))))))
(/.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1))) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1))) (neg.f32 (neg.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1))) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1)))) (neg.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 u1)) (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1)))) (neg.f32 (log.f32 (*.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
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(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) #s(literal 2 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (exp.f32 (log1p.f32 u1)) (exp.f32 (log1p.f32 u1)))
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))

simplify348.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
5996×*-lowering-*.f32
5996×*-lowering-*.f64
5464×+-lowering-+.f64
5464×+-lowering-+.f32
1144×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09737576
134996656
083596656
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
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Outputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
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u1
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1
#s(literal 1 binary32)
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(* 1/4 (pow u1 3))
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(*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* -1/5040 (* (pow u2 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32)))))))))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin (* u2 (PI)))
(sin.f32 (*.f32 u2 (PI.f32)))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
u1
(* u1 (+ 1 (* -3/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -3/4 u1))) 3/2))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -3/4 binary32)))) #s(literal -3/2 binary32)))))
(+ (log -1) (* -3 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32))))
(+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32))) (/.f32 #s(literal 3/2 binary32) (*.f32 u1 u1)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)))))) (/.f32 #s(literal -3/2 binary32) (*.f32 u1 u1)))
(* -3 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))
(+ (* -3 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32)))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) u1) #s(literal -1 binary32)) u1))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -3/2 binary32)) (neg.f32 u1)) #s(literal -1 binary32)) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* u1 (+ 2 (* -1 u1)))
(*.f32 u1 (-.f32 #s(literal 2 binary32) u1))
(* u1 (+ 2 (* u1 (- (* 2/3 u1) 1))))
(*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 2/3 binary32)) #s(literal -1 binary32)))))
(* u1 (+ 2 (* u1 (- (* u1 (+ 2/3 (* -1/2 u1))) 1))))
(*.f32 u1 (+.f32 #s(literal 2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal 2/3 binary32))) #s(literal -1 binary32)))))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))
(+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))) (/.f32 #s(literal 2 binary32) u1))
(- (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))) (/ 1 (pow u1 2)))
(+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) u1) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(- (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))
(+.f32 (+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32))) (/.f32 #s(literal 2 binary32) u1)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* -2 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1)))
(+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) u1))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (/ 1 u1) 2) u1)))
(+.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) u1))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 u1)) 1) u1)) 2) u1)))
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) u1) #s(literal -1 binary32)) (neg.f32 u1)) #s(literal -2 binary32)) u1))
1
#s(literal 1 binary32)
(+ 1 (* 2 u1))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u1))
(+ 1 (* u1 (+ 2 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) u1)))
(+ 1 (* u1 (+ 2 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 2 binary32) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1))))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))
(* u2 (sqrt (PI)))
(*.f32 u2 (sqrt.f32 (PI.f32)))

eval202.0ms (1.3%)

Compiler

Compiled 58027 to 5908 computations (89.8% saved)

prune287.0ms (1.9%)

Pruning

50 alts after pruning (46 fresh and 4 done)

PrunedKeptTotal
New1639371676
Fresh17926
Picked325
Done022
Total1659501709
Accuracy
99.8%
Counts
1709 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶93.6%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.1%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶93.5%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
88.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.6%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
18.8%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.7%
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶65.7%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
93.7%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
86.9%
(*.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 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
78.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
55.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.2%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
96.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
▶98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))
97.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
✓98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
54.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
52.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
✓58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
75.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
75.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓76.1%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.1%
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
85.5%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))
Compiler

Compiled 2501 to 1824 computations (27.1% saved)

simplify446.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓cost-diff0
(pow.f32 u1 #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
✓cost-diff0
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
✓cost-diff0
(pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32))
✓cost-diff0
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
✓cost-diff0
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
✓cost-diff0
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
✓cost-diff0
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff-32
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
✓cost-diff-32
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 u2 (PI.f32))
✓cost-diff3264
(*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)
✓cost-diff3264
(cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))
✓cost-diff3264
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))
✓cost-diff3264
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
Rules
3226×*-lowering-*.f32
3226×*-lowering-*.f64
2910×+-lowering-+.f64
2910×+-lowering-+.f32
1758×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051474
1136416
2335416
3986416
45130416
56014416
66113416
77293416
08385416
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2)))
(* 2 (sin (* (PI) u2)))
2
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(cos (* (* (PI) (log (E))) u2))
(* (* (PI) (log (E))) u2)
(* (PI) (log (E)))
(log (E))
(E)
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
2
(sqrt u1)
u1
(* u2 (PI))
u2
(PI)
(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 1/2))))
(* u1 (+ 1 (* u1 1/2)))
u1
(+ 1 (* u1 1/2))
1
(* u1 1/2)
1/2
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
1/2
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (pow u1 1/2) (* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2)))))
(pow u1 1/2)
u1
1/2
(* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2))))
(pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2)
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(sin (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(cos (* (* (PI) (log (E))) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (* (PI) (log (E))) u2)
(*.f32 (PI.f32) u2)
(* (PI) (log (E)))
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
(* (* 2 (sqrt u1)) (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
(* 2 (sqrt u1))
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(* u2 (PI))
(*.f32 (PI.f32) u2)
u2
(PI)
(PI.f32)
(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (* u1 (+ 1 (* u1 1/2))))
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(* u1 (+ 1 (* u1 1/2)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
u1
(+ 1 (* u1 1/2))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(* u1 1/2)
(*.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(pow.f32 (*.f32 (+.f32 #s(literal 1 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 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32))
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(*.f32 (+.f32 #s(literal 1 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 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
u1
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
1/2
#s(literal 1/2 binary32)
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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
(* (pow u1 1/2) (* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2)))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))))
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
(* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)))
(pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(sin (* 2 (* (PI) u2)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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

localize383.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
✓accuracy99.0%
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy99.0%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
✓accuracy99.0%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.7%
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
✓accuracy99.6%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy100.0%
(PI.f32)
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
✓accuracy98.9%
(*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy96.9%
(log.f32 (E.f32))
Results
250.0ms256×0valid
Compiler

Compiled 493 to 52 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-mult: 84.0ms (48% of total)
ival-add: 23.0ms (13.1% of total)
ival-pow: 20.0ms (11.4% of total)
ival-sin: 11.0ms (6.3% of total)
ival-log: 8.0ms (4.6% of total)
compiled-spec: 7.0ms (4% of total)
ival-sqrt: 6.0ms (3.4% of total)
...c/correct-round.rkt:119:19: 5.0ms (2.9% of total)
ival-cos: 3.0ms (1.7% of total)
ival-neg: 3.0ms (1.7% of total)
ival-e: 2.0ms (1.1% of total)
ival-pi: 1.0ms (0.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series138.0ms (0.9%)

Counts
26 → 360
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2))))>
#<alt (* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2)))>
#<alt (cos (* (* (PI) (log (E))) u2))>
#<alt (* (* (PI) (log (E))) u2)>
#<alt (* u2 (PI))>
#<alt (PI)>
#<alt (* (* 2 (sqrt u1)) (* u2 (PI)))>
#<alt (* 2 (sqrt u1))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ 1 (* u1 1/2))))>
#<alt (* u1 (+ 1 (* u1 1/2)))>
#<alt (+ 1 (* u1 1/2))>
#<alt (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))>
#<alt (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)>
#<alt (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))>
#<alt (* (pow u1 1/2) (* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2)))))>
#<alt (pow u1 1/2)>
#<alt (* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2))))>
#<alt (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2)>
#<alt (log (E))>
#<alt (* (PI) u2)>
#<alt (sqrt u1)>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* 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)) (* (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (* (pow (log (E)) 2) (sqrt -1)))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (* (pow (log (E)) 2) (sqrt -1)))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (* (pow (log (E)) 4) (sqrt -1)))) (* 1/12 (* (pow (PI) 5) (* (pow (log (E)) 2) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (* (pow (log (E)) 2) (sqrt -1)))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (* (pow (log (E)) 4) (sqrt -1)))) (* 1/12 (* (pow (PI) 5) (* (pow (log (E)) 2) (sqrt -1)))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (* (pow (log (E)) 4) (sqrt -1)))) (+ (* -1/240 (* (pow (PI) 7) (* (pow (log (E)) 2) (sqrt -1)))) (+ (* -1/720 (* (pow (PI) 7) (* (pow (log (E)) 6) (sqrt -1)))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (pow (log (E)) 2))) (* -1/6 (pow (PI) 3)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (* (pow (PI) 5) (pow (log (E)) 4))) (* 1/12 (* (pow (PI) 5) (pow (log (E)) 2))))))) (* 2 (+ (* -1/2 (* (pow (PI) 3) (pow (log (E)) 2))) (* -1/6 (pow (PI) 3))))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (+ (* -1/2 (* (pow (PI) 3) (pow (log (E)) 2))) (* -1/6 (pow (PI) 3)))) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (pow (log (E)) 4))) (+ (* -1/240 (* (pow (PI) 7) (pow (log (E)) 2))) (+ (* -1/720 (* (pow (PI) 7) (pow (log (E)) 6))) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (* (pow (PI) 5) (pow (log (E)) 4))) (* 1/12 (* (pow (PI) 5) (pow (log (E)) 2))))))))))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt (* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow u2 2) (* (pow (PI) 2) (pow (log (E)) 2)))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/24 (* (pow u2 2) (* (pow (PI) 4) (pow (log (E)) 4)))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 2) (pow (log (E)) 2))) (* (pow u2 2) (+ (* -1/720 (* (pow u2 2) (* (pow (PI) 6) (pow (log (E)) 6)))) (* 1/24 (* (pow (PI) 4) (pow (log (E)) 4))))))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (cos (* u2 (* (PI) (log (E)))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
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#<alt (+ (sin (* 2 (* u2 (PI)))) (* u1 (+ (* 1/4 (sin (* 2 (* u2 (PI))))) (* u1 (+ (* 35/384 (* u1 (sin (* 2 (* u2 (PI)))))) (* 13/96 (sin (* 2 (* u2 (PI))))))))))>
#<alt (* 1/2 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 2 (* u2 (PI)))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sin (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 7))) (* (sin (* 2 (* u2 (PI)))) (- 1 (* 1/9 u1))))))))>
#<alt (* (sqrt (pow u1 3)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/36 (/ u1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4)))) (* -1/4 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))))) (pow u1 3))) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2 (* (PI) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 u1))>
#<alt (+ 1 (* u1 (+ 1/4 (* 13/96 u1))))>
#<alt (+ 1 (* u1 (+ 1/4 (* u1 (+ 13/96 (* 35/384 u1))))))>
#<alt (* 1/2 (sqrt (pow u1 3)))>
#<alt (* (pow u1 2) (+ (* 1/3 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (* 1/3 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 (pow u1 7))) (- 1 (* 1/9 u1)))))))>
#<alt (* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (* (sqrt -1) (- 1 (* -1/36 (/ u1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) (* -1/4 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/4))))) (pow u1 3))) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* 1/3 u1)>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
Calls

90 calls:

TimeVariablePointExpression
45.0ms
u1
@0
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
22.0ms
u2
@0
(* (* (PI) (log (E))) u2)
13.0ms
u1
@inf
(* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2))))
12.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2))))
10.0ms
u2
@0
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))

rewrite407.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
5112×*-lowering-*.f32
5112×*-lowering-*.f64
3246×/-lowering-/.f32
3246×/-lowering-/.f64
1780×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051240
1260205
21751205
09016205
Stop Event
1×iter limit
1×node limit
Counts
26 → 476
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2))))
(* (* 2 (sin (* (PI) u2))) (cos (* (* (PI) (log (E))) u2)))
(cos (* (* (PI) (log (E))) u2))
(* (* (PI) (log (E))) u2)
(* u2 (PI))
(PI)
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ 1 (* u1 1/2))))
(* u1 (+ 1 (* u1 1/2)))
(+ 1 (* u1 1/2))
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (sin (* (* 2 (PI)) u2)))
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(* (pow u1 1/2) (* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2)))))
(pow u1 1/2)
(* (pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2) (sin (* 2 (* (PI) u2))))
(pow (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) 1/2)
(log (E))
(* (PI) u2)
(sqrt u1)
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
(* u1 (+ 1/3 (* u1 1/4)))
Outputs
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) u2)))
(cos.f32 (*.f32 (PI.f32) u2))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
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(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))) (neg.f32 (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))))) (neg.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))) u1)) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1)) (neg.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 1/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 #s(literal 1/3 binary32))))))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) u1)

simplify829.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
5972×*-lowering-*.f32
5972×*-lowering-*.f64
4760×+-lowering-+.f64
4760×+-lowering-+.f32
1952×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09036780
132015999
276005998
086145998
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))))))))
(* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(+ (* -1 (/ (+ (* (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (* (pow (log (E)) 2) (sqrt -1)))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (* (pow (log (E)) 4) (sqrt -1)))) (* 1/12 (* (pow (PI) 5) (* (pow (log (E)) 2) (sqrt -1)))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (* (pow (log (E)) 4) (sqrt -1)))) (+ (* -1/240 (* (pow (PI) 7) (* (pow (log (E)) 2) (sqrt -1)))) (+ (* -1/720 (* (pow (PI) 7) (* (pow (log (E)) 6) (sqrt -1)))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
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(* 2 (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))
1
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(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (pow (sqrt -1/2) 3))) (* -1/16 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
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1
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1
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(* u2 (PI))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(sqrt u1)
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(* 2 (* u2 (PI)))
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(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
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(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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Outputs
(* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (* (PI) (log (E))))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (* (PI) (log (E))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
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(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2 (* (PI) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/4 u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
(+ 1 (* u1 (+ 1/4 (* 13/96 u1))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32)))))
(+ 1 (* u1 (+ 1/4 (* u1 (+ 13/96 (* 35/384 u1))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 13/96 binary32) (*.f32 u1 #s(literal 35/384 binary32)))))))
(* 1/2 (sqrt (pow u1 3)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))
(* (pow u1 2) (+ (* 1/3 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 #s(literal 1/3 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ (* 1/3 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 #s(literal 1/3 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))))))
(* (pow u1 2) (+ (* 1/3 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 (pow u1 7))) (- 1 (* 1/9 u1)))))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/9 binary32)))) (*.f32 #s(literal 1/3 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/4)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))
(* (pow u1 2) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/4)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1/4 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))))
(* (pow u1 2) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/4))))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))) (+.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (* (sqrt -1) (- 1 (* -1/36 (/ u1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) (* -1/4 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/4))))) (pow u1 3))) (+ (* 1/6 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/4))))))
(*.f32 (*.f32 u1 u1) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1/4 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/36 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))) (*.f32 u1 (*.f32 u1 u1)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))

eval130.0ms (0.9%)

Compiler

Compiled 43259 to 3869 computations (91.1% saved)

prune284.0ms (1.9%)

Pruning

70 alts after pruning (63 fresh and 7 done)

PrunedKeptTotal
New1200271227
Fresh53641
Picked235
Done044
Total1207701277
Accuracy
99.8%
Counts
1277 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(*.f32 (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.4%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
78.8%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
89.2%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.4%
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
93.7%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 13/96 binary32) (*.f32 u1 #s(literal 35/384 binary32))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
92.2%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
88.3%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
▶78.8%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
85.6%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
88.2%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
21.6%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
18.8%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.7%
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
65.6%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
65.7%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
65.5%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓65.7%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
▶65.0%
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
93.7%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.3%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
86.9%
(*.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 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
78.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
74.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
87.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
✓88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
55.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.2%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (cos.f32 (*.f32 (PI.f32) u2))))
96.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
▶97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))
✓98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
54.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
52.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
✓58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
75.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
75.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓76.1%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶86.4%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
70.1%
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
85.5%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))
80.8%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
▶65.7%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Compiler

Compiled 3359 to 2475 computations (26.3% saved)

simplify214.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
✓cost-diff0
(*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32))
✓cost-diff3232
(exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))
✓cost-diff3232
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
✓cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
✓cost-diff0
(pow.f32 u1 #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
✓cost-diff3232
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
✓cost-diff3232
(*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))))
✓cost-diff3232
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
✓cost-diff-32
(*.f32 (sqrt.f32 u1) u2)
✓cost-diff-32
(*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))
✓cost-diff-32
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
✓cost-diff0
(PI.f32)
✓cost-diff3264
(sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))
✓cost-diff3264
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)))
✓cost-diff3264
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
✓cost-diff3264
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
Rules
3000×sum5-define
1868×fma-define
1496×fma-lowering-fma.f32
1496×fma-lowering-fma.f64
1380×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054353
1140296
2319296
3735296
41145296
51381296
61533296
72758296
83934296
94304296
104520296
115041296
127458296
137727296
147768296
157768296
08392296
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2)))
(* 2 (sin (* (* (PI) (log (E))) u2)))
2
(sin (* (* (PI) (log (E))) u2))
(* (* (PI) (log (E))) u2)
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
(cos (* (PI) u2))
(* (PI) u2)
(* 2 (* (* (sqrt u1) u2) (PI)))
2
(* (* (sqrt u1) u2) (PI))
(* (sqrt u1) u2)
(sqrt u1)
u1
u2
(PI)
(* (* 2 (exp (* 1/2 (log u1)))) (* u2 (PI)))
(* 2 (exp (* 1/2 (log u1))))
2
(exp (* 1/2 (log u1)))
(* 1/2 (log u1))
1/2
(log u1)
u1
(* u2 (PI))
u2
(PI)
(* (pow u1 1/2) (* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))))
(pow u1 1/2)
u1
1/2
(* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
1
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(* u1 (+ 1/3 (* u1 1/4)))
(+ 1/3 (* u1 1/4))
1/3
(* u1 1/4)
1/4
(* (exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)) (sin (* (* 2 (PI)) u2)))
(exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2))
(* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)
(log (* u1 (+ 1 (* u1 1/2))))
(* u1 (+ 1 (* u1 1/2)))
u1
(+ 1 (* u1 1/2))
1
(* u1 1/2)
1/2
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (* (PI) (log (E))) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (* (PI) (log (E))) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (* (PI) (log (E))) u2)
(*.f32 (PI.f32) u2)
(* (PI) (log (E)))
(PI.f32)
(PI)
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
u2
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(* 2 (* (* (sqrt u1) u2) (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
2
#s(literal 2 binary32)
(* (* (sqrt u1) u2) (PI))
(*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))))
(* (sqrt u1) u2)
(*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
u2
(PI)
(PI.f32)
(* (* 2 (exp (* 1/2 (log u1)))) (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
(* 2 (exp (* 1/2 (log u1))))
(*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(exp (* 1/2 (log u1)))
(pow.f32 u1 #s(literal 1/2 binary32))
(* 1/2 (log u1))
(*.f32 #s(literal 1/2 binary32) (log.f32 u1))
1/2
#s(literal 1/2 binary32)
(log u1)
(log.f32 u1)
u1
(* u2 (PI))
(*.f32 (PI.f32) u2)
u2
(PI)
(PI.f32)
(* (pow u1 1/2) (* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))))
(pow u1 1/2)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
1/2
#s(literal 1/2 binary32)
(* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* u2 (PI))
(*.f32 (PI.f32) u2)
u2
(PI)
(PI.f32)
(sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))
(-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))
1
#s(literal 1 binary32)
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(* u1 (+ 1/3 (* u1 1/4)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(+ 1/3 (* u1 1/4))
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))
1/3
#s(literal 1/3 binary32)
(* u1 1/4)
(*.f32 u1 #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(* (exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)) (sin (* (* 2 (PI)) u2)))
(*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2))
(pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32))
(* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)
(*.f32 #s(literal 1/2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(log (* u1 (+ 1 (* u1 1/2))))
(log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(* u1 (+ 1 (* u1 1/2)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
u1
(+ 1 (* u1 1/2))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(* u1 1/2)
(*.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize322.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy96.5%
(exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy98.9%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
✓accuracy100.0%
(PI.f32)
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy96.5%
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy100.0%
(PI.f32)
✓accuracy99.1%
(*.f32 (sqrt.f32 u1) u2)
✓accuracy98.8%
(*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy96.9%
(log.f32 (E.f32))
Results
227.0ms256×0valid
Compiler

Compiled 360 to 55 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 55.0ms (34.1% of total)
ival-exp: 34.0ms (21.1% of total)
ival-log: 18.0ms (11.2% of total)
compiled-spec: 11.0ms (6.8% of total)
ival-pow: 8.0ms (5% of total)
ival-add: 7.0ms (4.3% of total)
ival-sin: 7.0ms (4.3% of total)
ival-sqrt: 6.0ms (3.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (2.5% of total)
ival-e: 3.0ms (1.9% of total)
ival-cos: 3.0ms (1.9% of total)
ival-neg: 3.0ms (1.9% of total)
ival-pi: 1.0ms (0.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series122.0ms (0.8%)

Counts
28 → 408
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2))))>
#<alt (* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2)))>
#<alt (* 2 (sin (* (* (PI) (log (E))) u2)))>
#<alt (sin (* (* (PI) (log (E))) u2))>
#<alt (PI)>
#<alt (* 2 (* (* (sqrt u1) u2) (PI)))>
#<alt (* (* (sqrt u1) u2) (PI))>
#<alt (* (sqrt u1) u2)>
#<alt (* (* 2 (exp (* 1/2 (log u1)))) (* u2 (PI)))>
#<alt (* 2 (exp (* 1/2 (log u1))))>
#<alt (exp (* 1/2 (log u1)))>
#<alt (* 1/2 (log u1))>
#<alt (* (pow u1 1/2) (* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))))>
#<alt (pow u1 1/2)>
#<alt (* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* (exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)) (sin (* (* 2 (PI)) u2)))>
#<alt (exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2))>
#<alt (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)>
#<alt (log (* u1 (+ 1 (* u1 1/2))))>
#<alt (log (E))>
#<alt (* (PI) u2)>
#<alt (* (* (PI) (log (E))) u2)>
#<alt (sqrt u1)>
#<alt (* u2 (PI))>
#<alt (* u1 (+ 1/3 (* u1 1/4)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 (+ 1 (* u1 1/2)))>
Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
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#<alt (* (pow u1 2) (+ (* 2/3 (* (sqrt (/ 1 (pow u1 3))) (* u2 (PI)))) (+ (* 2 (* (sqrt (/ 1 (pow u1 7))) (* u2 (* (PI) (- 1 (* 1/9 u1)))))) (+ (* (sqrt (/ 1 u1)) (* u2 (PI))) (* (sqrt (/ 1 (pow u1 5))) (* u2 (PI)))))))>
#<alt (* 2 (* (sqrt (pow u1 3)) (* u2 (* (PI) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (* (sqrt (/ 1 (pow u1 3))) (/ (* u2 (* (PI) (sqrt -1))) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (* (sqrt -1) (sqrt -1/4))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (* (sqrt (/ 1 (pow u1 3))) (/ (* u2 (* (PI) (sqrt -1))) (sqrt -1/4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* u2 (* (PI) (sqrt -1))) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (* (sqrt -1) (sqrt -1/4)))))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (/ (* u2 (* (PI) (* (sqrt -1) (- 1 (* -1/36 (/ u1 (pow (sqrt -1/4) 2))))))) (sqrt -1/4)))) (* -1/2 (* (sqrt u1) (/ (* u2 (* (PI) (sqrt -1))) (sqrt -1/4))))) (pow u1 3))) (+ (* 1/3 (* (sqrt (/ 1 (pow u1 3))) (/ (* u2 (* (PI) (sqrt -1))) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (* (sqrt -1) (sqrt -1/4)))))))))>
#<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 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* u1 (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* -1 (* u1 (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* -1 (* u1 (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/2)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/2) 3))) (* -1/16 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))>
#<alt (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 5)))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))>
#<alt (* u1 (sqrt 1/2))>
#<alt (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))>
#<alt (* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))>
#<alt (* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))>
#<alt (* -1 (* u1 (sqrt 1/2)))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2)))))))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))>
#<alt (* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) u1)) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))>
#<alt (* 1/2 (log u1))>
#<alt (+ (* 1/4 u1) (* 1/2 (log u1)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* -1/16 u1))))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (- (* 1/48 u1) 1/16)))))>
#<alt (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1)))))>
#<alt (+ (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1))))) (/ 1 u1))>
#<alt (- (+ (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1))))) (/ 1 u1)) (/ 1 (pow u1 2)))>
#<alt (- (+ (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1))))) (+ (/ 1 u1) (* 4/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))>
#<alt (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1)))))>
#<alt (+ (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1))))) (/ 1 u1))>
#<alt (+ (* -1 (/ (- (/ 1 u1) 1) u1)) (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 u1)) 1) u1)) 1) u1)) (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1))))))>
#<alt (log u1)>
#<alt (+ (log u1) (* 1/2 u1))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* -1/8 u1))))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* u1 (- (* 1/24 u1) 1/8)))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 u1))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))) (/ 2 (pow u1 2)))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 8/3 (/ 1 (pow u1 3)))))) (/ 2 (pow u1 2)))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 u1))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 u1)) 2) u1)) 2) u1))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (* u2 (* (PI) (log (E))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 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 (* 1/3 u1)>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* u1 (+ 1/3 (* 1/4 u1)))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
Calls

102 calls:

TimeVariablePointExpression
56.0ms
u1
@-inf
(* 1/2 (log u1))
21.0ms
u1
@inf
(* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
8.0ms
u1
@0
(* 1/2 (log u1))
6.0ms
u1
@inf
(* 1/2 (log u1))
2.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2))))

rewrite343.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
3856×*-lowering-*.f32
3856×*-lowering-*.f64
2774×/-lowering-/.f32
2774×/-lowering-/.f64
1762×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054199
1245175
21572174
08131174
Stop Event
1×iter limit
1×node limit
Counts
28 → 375
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2))))
(* (* 2 (sin (* (* (PI) (log (E))) u2))) (cos (* (PI) u2)))
(* 2 (sin (* (* (PI) (log (E))) u2)))
(sin (* (* (PI) (log (E))) u2))
(PI)
(* 2 (* (* (sqrt u1) u2) (PI)))
(* (* (sqrt u1) u2) (PI))
(* (sqrt u1) u2)
(* (* 2 (exp (* 1/2 (log u1)))) (* u2 (PI)))
(* 2 (exp (* 1/2 (log u1))))
(exp (* 1/2 (log u1)))
(* 1/2 (log u1))
(* (pow u1 1/2) (* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))))
(pow u1 1/2)
(* (* 2 (* u2 (PI))) (sqrt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))
(* 2 (* u2 (PI)))
(* (exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)) (sin (* (* 2 (PI)) u2)))
(exp (* (log (* u1 (+ 1 (* u1 1/2)))) 1/2))
(* (log (* u1 (+ 1 (* u1 1/2)))) 1/2)
(log (* u1 (+ 1 (* u1 1/2))))
(log (E))
(* (PI) u2)
(* (* (PI) (log (E))) u2)
(sqrt u1)
(* u2 (PI))
(* u1 (+ 1/3 (* u1 1/4)))
(* (* 2 (PI)) u2)
(* u1 (+ 1 (* u1 1/2)))
Outputs
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(sin.f32 (*.f32 (PI.f32) u2))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
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(+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 #s(literal 1/3 binary32)))
(+.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 u1 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1/3 binary32) u1 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))
(fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 #s(literal 1/4 binary32)) u1 (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))
(fma.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) u1 (*.f32 u1 #s(literal 1/3 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))) (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1)))
(/.f32 (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))) u1) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1) (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))) (neg.f32 (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32))) u1)) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1)) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/64 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 1/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 #s(literal 1/3 binary32))))))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) u1)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(exp.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(+.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(fma.f32 #s(literal 1/2 binary32) (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) u1 u1)
(fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1)
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (-.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))))) (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) u1)))
(/.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))) (-.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))))
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))))) (neg.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))) (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) u1)

simplify409.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5056×*-lowering-*.f32
5056×*-lowering-*.f64
3922×+-lowering-+.f64
3922×+-lowering-+.f32
1900×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07625789
127584821
275434821
085084821
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
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(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))
(* u1 (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))
(* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))
(* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))
(* -1 (* u1 (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/2)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/2) 3))) (* -1/16 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))
(* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI)))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 5))))))))
(* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 5)))))))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))
(* u1 (sqrt 1/2))
(* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))
(* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))
(* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))
(* -1 (* u1 (sqrt 1/2)))
(* -1 (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2)))))))
(* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt 1/2) 3)))) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))
(* -1 (* u1 (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt 1/2) 5)))) (* 1/8 (/ 1 (pow (sqrt 1/2) 3)))) u1)) (* 1/2 (/ 1 (sqrt 1/2)))) u1)))))
(* 1/2 (log u1))
(+ (* 1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* -1/16 u1))))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (- (* 1/48 u1) 1/16)))))
(* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1)))))
(+ (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1))))) (/ 1 u1))
(- (+ (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1))))) (/ 1 u1)) (/ 1 (pow u1 2)))
(- (+ (* 1/2 (+ (log 1/2) (* -2 (log (/ 1 u1))))) (+ (/ 1 u1) (* 4/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))
(* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1)))))
(+ (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1))))) (/ 1 u1))
(+ (* -1 (/ (- (/ 1 u1) 1) u1)) (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ 1 u1)) 1) u1)) 1) u1)) (* 1/2 (+ (log 1/2) (* -2 (log (/ -1 u1))))))
(log u1)
(+ (log u1) (* 1/2 u1))
(+ (log u1) (* u1 (+ 1/2 (* -1/8 u1))))
(+ (log u1) (* u1 (+ 1/2 (* u1 (- (* 1/24 u1) 1/8)))))
(+ (log 1/2) (* -2 (log (/ 1 u1))))
(+ (log 1/2) (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))) (/ 2 (pow u1 2)))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 8/3 (/ 1 (pow u1 3)))))) (/ 2 (pow u1 2)))
(+ (log 1/2) (* -2 (log (/ -1 u1))))
(+ (log 1/2) (+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1))))
(+ (log 1/2) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1))))
(+ (log 1/2) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 u1)) 2) u1)) 2) u1))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(* u2 (* (PI) (log (E))))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 1/3 u1)
(* u1 (+ 1/3 (* 1/4 u1)))
(* u1 (+ 1/3 (* 1/4 u1)))
(* u1 (+ 1/3 (* 1/4 u1)))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* 1/2 u1)))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
Outputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (* (PI) (log (E)))))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (* (PI) (log (E))))) (pow (sqrt -1) 2))))))
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(*.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) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(* u2 (* (PI) (log (E))))
(*.f32 u2 (PI.f32))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* 1/3 u1)
(*.f32 u1 #s(literal 1/3 binary32))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* u1 (+ 1/3 (* 1/4 u1)))
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* 1/2 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(* 1/2 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))

eval167.0ms (1.1%)

Compiler

Compiled 21681 to 2982 computations (86.2% saved)

prune189.0ms (1.2%)

Pruning

81 alts after pruning (71 fresh and 10 done)

PrunedKeptTotal
New998201018
Fresh75158
Picked235
Done077
Total1007811088
Accuracy
99.9%
Counts
1088 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(*.f32 (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.0%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.8%
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32))))))
85.4%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
89.2%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.4%
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
79.0%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
77.9%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 binary32))))))
93.7%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 13/96 binary32) (*.f32 u1 #s(literal 35/384 binary32))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
92.2%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
88.3%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
78.9%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2))
78.8%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32)))
74.9%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
77.2%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
77.7%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
88.2%
(*.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))
65.6%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
21.6%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
18.8%
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.7%
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.4%
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
20.9%
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
14.9%
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
18.4%
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
65.7%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
65.5%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓65.7%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓65.0%
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
93.7%
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.3%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.2%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
86.9%
(*.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 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
78.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
92.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
93.3%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓93.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
80.7%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
74.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓88.2%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.5%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
54.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
55.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.2%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (cos.f32 (*.f32 (PI.f32) u2))))
96.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))
✓98.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
54.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
52.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
58.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
✓58.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.8%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
70.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
75.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
75.8%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓76.1%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.8%
(*.f32 (exp.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) (*.f32 u1 #s(literal 1/4 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
91.7%
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
80.8%
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
70.1%
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
85.5%
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))
65.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))))
65.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓65.7%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Compiler

Compiled 4750 to 2043 computations (57% saved)

regimes391.0ms (2.6%)

Counts
117 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
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(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -8/315 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 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)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Calls

10 calls:

69.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
52.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
34.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
34.0ms
cosTheta_i
34.0ms
u2
Results
AccuracySegmentsBranch
98.4%1cosTheta_i
98.4%1u1
98.4%1u2
98.4%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.4%1(-.f32 #s(literal 1 binary32) u1)
98.4%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes221.0ms (1.5%)

Counts
66 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 13/96 binary32) (*.f32 u1 #s(literal 35/384 binary32))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

37.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
33.0ms
(-.f32 #s(literal 1 binary32) u1)
29.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
21.0ms
u2
20.0ms
cosTheta_i
Results
AccuracySegmentsBranch
97.4%2u2
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
93.7%1cosTheta_i
97.2%2u1
97.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.2%2(-.f32 #s(literal 1 binary32) u1)
93.7%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes35.0ms (0.2%)

Counts
45 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

14.0ms
u2
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
97.4%2u2
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes109.0ms (0.7%)

Counts
44 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

7 calls:

28.0ms
u1
15.0ms
u2
13.0ms
(-.f32 #s(literal 1 binary32) u1)
13.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
96.8%2u1
96.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.8%2(-.f32 #s(literal 1 binary32) u1)
97.2%2u2
97.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes45.0ms (0.3%)

Counts
43 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

28.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
u2
Results
AccuracySegmentsBranch
97.1%2u2
97.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes134.0ms (0.9%)

Counts
39 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 13/96 binary32))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

29.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
19.0ms
cosTheta_i
13.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
u1
11.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
95.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.4%2(-.f32 #s(literal 1 binary32) u1)
95.4%2u1
95.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
92.2%1cosTheta_i
92.2%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.5%2u2
95.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes102.0ms (0.7%)

Counts
36 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

12.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
11.0ms
cosTheta_i
11.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
88.3%1cosTheta_i
91.7%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.9%2u1
93.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.9%2(-.f32 #s(literal 1 binary32) u1)
94.5%2u2
94.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes103.0ms (0.7%)

Counts
30 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

20.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
17.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
10.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
85.5%1cosTheta_i
89.3%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
89.5%2u1
89.5%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
89.5%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.5%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
89.5%2(-.f32 #s(literal 1 binary32) u1)
91.3%2u2
91.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes26.0ms (0.2%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms
u2
Results
AccuracySegmentsBranch
91.3%2u2
91.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes57.0ms (0.4%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
Calls

4 calls:

32.0ms
u2
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms
u1
7.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
85.5%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
85.5%1u1
85.5%1u2
85.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 25 to 21 computations (16% saved)

regimes51.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
Outputs
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
Calls

5 calls:

19.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
cosTheta_i
8.0ms
u2
7.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms
u1
Results
AccuracySegmentsBranch
80.7%1cosTheta_i
84.2%2u1
84.6%2u2
83.9%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes16.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
Calls

2 calls:

6.0ms
u2
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
84.4%2u2
84.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes35.0ms (0.2%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 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 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
Calls

5 calls:

8.0ms
u2
7.0ms
cosTheta_i
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
u1
6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
78.8%1cosTheta_i
78.8%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
82.6%2u1
82.5%2u2
82.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes32.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 binary32))))))
Outputs
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 binary32))))))
Calls

5 calls:

7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms
u1
5.0ms
u2
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
77.9%1cosTheta_i
77.9%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
81.6%2u2
81.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
81.6%2u1
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes31.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
Outputs
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
Calls

5 calls:

7.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms
u1
5.0ms
u2
5.0ms
cosTheta_i
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
74.9%1cosTheta_i
74.9%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
78.7%2u2
78.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
78.6%2u1
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes24.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
Calls

4 calls:

7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
u1
5.0ms
u2
Results
AccuracySegmentsBranch
74.9%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
74.9%1u1
74.9%1u2
74.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 25 to 21 computations (16% saved)

regimes23.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
Calls

5 calls:

5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u1
4.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms
u2
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
65.7%1u1
65.7%1u2
65.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
65.7%1cosTheta_i
65.7%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes11.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) (PI.f32)) u2)
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))) u2)
Outputs
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
Calls

3 calls:

4.0ms
u2
3.0ms
cosTheta_i
3.0ms
u1
Results
AccuracySegmentsBranch
65.7%1u1
65.7%1cosTheta_i
65.7%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Calls

3 calls:

4.0ms
cosTheta_i
2.0ms
u2
2.0ms
u1
Results
AccuracySegmentsBranch
65.7%1u1
65.7%1cosTheta_i
65.7%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 40/27 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
Outputs
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
Calls

3 calls:

2.0ms
u1
2.0ms
cosTheta_i
2.0ms
u2
Results
AccuracySegmentsBranch
20.9%1cosTheta_i
20.9%1u1
20.9%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

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

3 calls:

5.0ms
u2
2.0ms
u1
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
18.4%1u2
18.4%1cosTheta_i
18.4%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
Outputs
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
Calls

3 calls:

1.0ms
u2
1.0ms
cosTheta_i
1.0ms
u1
Results
AccuracySegmentsBranch
14.4%1u1
14.4%1cosTheta_i
14.4%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.09669861942529678
0.11156164109706879
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.09669861942529678
0.11156164109706879
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.09669861942529678
0.11156164109706879
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.09669861942529678
0.11156164109706879
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004520296584814787
0.004565572366118431
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004520296584814787
0.004565572366118431
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6220359206199646
0.6441436409950256
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6220359206199646
0.6441436409950256
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0025911503471434116
0.002865878865122795
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0025911503471434116
0.002865878865122795
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
7.445505161740584e-6
8.577891094319057e-6
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
7.445505161740584e-6
8.577891094319057e-6
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.005069070961326361
0.005268196575343609
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify59.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
130×*-commutative_binary32
42×+-commutative_binary32
4×neg-sub0_binary32
4×neg-mul-1_binary32
4×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140767
1230767
2234767
3236767
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9771051/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9771051/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/8388608 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/8388608 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/4294967296 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32)))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/4294967296 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(if (<=.f32 u1 #s(literal 8796093/1099511627776 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(if (<=.f32 u1 #s(literal 8796093/1099511627776 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 binary32)))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/2147483648 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.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)))))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.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)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9771051/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 9771051/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sin.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)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9771051/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 9771051/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (sin.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 5368709/8388608 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5368709/8388608 binary32)) (*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/8388608 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5368709/8388608 binary32)) (*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/4294967296 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 35/192 binary32) u1) #s(literal 13/48 binary32)))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 11166915/4294967296 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (*.f32 u1 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) u2)) (*.f32 u1 (*.f32 (*.f32 (PI.f32) u2) (+.f32 (*.f32 u1 #s(literal 35/192 binary32)) #s(literal 13/48 binary32)))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/4294967296 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 11166915/4294967296 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(if (<=.f32 u1 #s(literal 8796093/1099511627776 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(if (<=.f32 u1 #s(literal 8796093/1099511627776 binary32)) (*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 #s(literal 8796093/1099511627776 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 13/48 binary32) u1) #s(literal 1/2 binary32)))))))
(if (<=.f32 u1 #s(literal 8796093/1099511627776 binary32)) (*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (*.f32 u1 (*.f32 (*.f32 (PI.f32) u2) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 13/48 binary32))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11166915/2147483648 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 11166915/2147483648 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 (PI.f32) u2) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (*.f32 (PI.f32) u2) (+.f32 #s(literal 2 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 7/9 binary32) (*.f32 u2 (PI.f32))) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2/3 binary32)) u1) (+.f32 (*.f32 (PI.f32) u2) (/.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 7/9 binary32)) (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u2 (PI.f32)) (/.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 (PI.f32))) u1)))
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (PI.f32) u2) (/.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2/3 binary32)) u1)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) (*.f32 (PI.f32) u2))

soundness3.2s (20.8%)

Rules
5996×*-lowering-*.f32
5996×*-lowering-*.f64
5972×*-lowering-*.f32
5972×*-lowering-*.f64
5968×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07625789
127584821
275434821
085084821
051240
1260205
21751205
09016205
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
050234
1248194
21974184
08825184
02268
19368
250660
3425360
0840760
09036780
132015999
276005998
086145998
03183588
110453016
237422772
083852772
09737576
134996656
083596656
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2262 to 1320 computations (41.6% saved)

preprocess178.0ms (1.2%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 2172 to 824 computations (62.1% saved)

end0.0ms (0%)

Profiling

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