Beckmann Sample, near normal, slope_y

Time bar (total: 16.0s)

analyze500.0ms (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: 325.0ms
...c/correct-round.rkt:119:19: 75.0ms (23.1% of total)
ival-<=: 64.0ms (19.7% of total)
ival-mult: 43.0ms (13.2% of total)
ival-log: 33.0ms (10.2% of total)
ival-neg: 27.0ms (8.3% of total)
ival-sin: 25.0ms (7.7% of total)
ival-sqrt: 16.0ms (4.9% of total)
ival-sub: 13.0ms (4% of total)
ival-and: 12.0ms (3.7% of total)
ival-pi: 7.0ms (2.2% of total)
ival->: 7.0ms (2.2% of total)
const: 2.0ms (0.6% of total)
backward-pass: 1.0ms (0.3% of total)

sample3.0s (18.8%)

Results
2.2s8256×0valid
1.0ms6×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.6s
...c/correct-round.rkt:119:19: 369.0ms (23.7% of total)
ival-mult: 354.0ms (22.8% of total)
ival-log: 170.0ms (10.9% of total)
ival-<=: 139.0ms (8.9% of total)
ival-sub: 138.0ms (8.9% of total)
ival-sin: 132.0ms (8.5% of total)
ival-sqrt: 63.0ms (4.1% of total)
ival-and: 54.0ms (3.5% of total)
ival-neg: 54.0ms (3.5% of total)
ival-pi: 35.0ms (2.3% of total)
ival->: 34.0ms (2.2% of total)
const: 9.0ms (0.6% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess94.0ms (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)

explain199.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2024(0.999927282333374 0.005196211393922567 0.0008605186594650149)1(0.9999399185180664 0.013327263295650482 5.451199314165933e-8)(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
148.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 22.0ms (37.9% of total)
ival-sin: 13.0ms (22.4% of total)
ival-log: 9.0ms (15.5% of total)
ival-sqrt: 4.0ms (6.9% of total)
ival-sub: 3.0ms (5.2% of total)
ival-neg: 3.0ms (5.2% of total)
ival-pi: 2.0ms (3.4% of total)
const: 1.0ms (1.7% 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
▶98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶56.5%
(*.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)

simplify21.0ms (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-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Rules
40×sum3-define
40×*-lowering-*.f32
40×*-lowering-*.f64
32×+-lowering-+.f64
32×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
14190
25590
36590
48490
510490
612190
713690
813790
013790
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (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

localize117.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.4%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy99.0%
(*.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))))
✓accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.0%
(*.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)))
✓accuracy54.5%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
91.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sin: 11.0ms (20.8% of total)
ival-mult: 10.0ms (18.9% of total)
ival-log: 10.0ms (18.9% of total)
compiled-spec: 6.0ms (11.4% of total)
ival-sqrt: 5.0ms (9.5% of total)
ival-neg: 5.0ms (9.5% of total)
ival-sub: 2.0ms (3.8% of total)
ival-pi: 1.0ms (1.9% of total)
ival-add: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.3%)

Counts
12 → 168
Calls
Call 1
Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (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 (* -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 (* (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
28.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
5.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(neg (log (- 1 u1)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

rewrite281.0ms (1.8%)

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
251160
3425760
0810960
Stop Event
1×iter limit
1×node limit
Counts
12 → 309
Calls
Call 1
Inputs
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (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
(log1p.f32 u1)
(neg.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (log.f32 (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)))) (log.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (log.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
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(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (+.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (+.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.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)))
(*.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 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 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 (*.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 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 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)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(+.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)))

simplify333.0ms (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
110452966
237492730
083872730
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (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))))))))
(+ (* -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)))))))))
(* (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))))
(+ (* -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))))
(* 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)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt u1) (* (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))))))))
(+ (* -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)))))))))
(* (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))))
(+ (* -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))))
(* 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)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/4 binary32) (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(+ (* (sqrt u1) (* (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 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1))))))
(+ (* -1/2 (* (/ (* (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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.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))))
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(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 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 (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)) (* (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 u2 (*.f32 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 (*.f32 u2 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 #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))))
(* 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))
(* 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 (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)) (* (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 u2 (*.f32 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 (*.f32 u2 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 #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))))

eval60.0ms (0.4%)

Compiler

Compiled 10355 to 1287 computations (87.6% saved)

prune103.0ms (0.6%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New45423477
Fresh000
Picked022
Done000
Total45425479
Accuracy
99.4%
Counts
479 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶89.3%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.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)))
88.0%
(*.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)))
85.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.7%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))) (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))))
92.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 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))))))))))
89.7%
(*.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 u2 (*.f32 u2 (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
▶86.9%
(*.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)))))))
78.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.7%
(*.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)))))))
▶97.7%
(*.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)))))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 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 (*.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))))))
97.6%
(*.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))))))
✓98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.0%
(*.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)))))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.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 (PI.f32) u2))))
56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) u2))))
✓56.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶77.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1199 to 883 computations (26.4% saved)

simplify236.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓cost-diff0
(log1p.f32 u1)
✓cost-diff0
(+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
✓cost-diff0
(sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
✓cost-diff0
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 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 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
✓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
2866×*-lowering-*.f32
2866×*-lowering-*.f64
2232×sum3-define
2128×+-lowering-+.f64
2128×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047312
1105308
2250299
3694299
41899299
52357299
62931299
73959299
85349299
08106299
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 (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))))
u2
(* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))
(PI)
(+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))
2
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(* -4/3 (* u2 u2))
-4/3
(* u2 u2)
(* (PI) (PI))
(* (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1))))))
(+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))
(log (+ 1 u1))
u1
(log (/ -1 (+ -1 (* u1 u1))))
(/ -1 (+ -1 (* u1 u1)))
-1
(+ -1 (* u1 u1))
(* u1 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 (*.f32 #s(literal 2 binary32) (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) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (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) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* (* 2 (PI)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 u2 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -4/3 binary32))))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))))
(*.f32 (PI.f32) (*.f32 u2 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -4/3 binary32)))))))
u2
(* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))
(*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -4/3 binary32))))))
(PI)
(PI.f32)
(+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))
(+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -4/3 binary32)))))
2
#s(literal 2 binary32)
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(*.f32 u2 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -4/3 binary32))))
(* -4/3 (* u2 u2))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
-4/3
#s(literal -4/3 binary32)
(* u2 u2)
(*.f32 u2 u2)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
(sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1))))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
(+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))
(+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (/ -1 (+ -1 (* u1 u1))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/ -1 (+ -1 (* u1 u1)))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
-1
#s(literal -1 binary32)
(+ -1 (* u1 u1))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* (* 2 (PI)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) 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

localize397.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(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 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))))
✓accuracy99.2%
(+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.9%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy29.6%
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓accuracy98.9%
(*.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)))))))
✓accuracy98.9%
(*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))
✓accuracy98.7%
(*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy100.0%
(PI.f32)
✓accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy99.5%
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
✓accuracy99.5%
(sin.f32 (*.f32 (PI.f32) u2))
✓accuracy99.0%
(*.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))))
Results
304.0ms255×0valid
2.0ms1×1valid
Compiler

Compiled 358 to 46 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-mult: 57.0ms (29.7% of total)
compiled-spec: 45.0ms (23.5% of total)
ival-add: 29.0ms (15.1% of total)
ival-log: 23.0ms (12% of total)
ival-sin: 11.0ms (5.7% of total)
ival-sqrt: 6.0ms (3.1% of total)
...c/correct-round.rkt:119:19: 5.0ms (2.6% of total)
ival-pow: 5.0ms (2.6% of total)
ival-cos: 3.0ms (1.6% of total)
ival-neg: 3.0ms (1.6% of total)
ival-div: 2.0ms (1% of total)
ival-pi: 1.0ms (0.5% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series126.0ms (0.8%)

Counts
25 → 336
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 (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))>
#<alt (* (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1))))))>
#<alt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))>
#<alt (log (+ 1 u1))>
#<alt (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))>
#<alt (* (PI) u2)>
#<alt (sin (* (PI) u2))>
#<alt (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))>
#<alt (PI)>
#<alt (* (PI) (PI))>
#<alt (* (* -4/3 (* u2 u2)) (* (PI) (PI)))>
#<alt (* -4/3 (* u2 u2))>
#<alt (log (/ -1 (+ -1 (* u1 u1))))>
#<alt (* u2 (pow (PI) 1/2))>
#<alt (sin (* 2 (* (pow (PI) 1/2) (* 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)))))>
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#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))>
#<alt (+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))))>
#<alt (+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1)))>
#<alt (+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))) (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (/ 1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (/ 1 u1))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (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 (* 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) (* -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 (* 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 (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (* (pow u2 2) (pow (PI) 2)))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (* -4/3 (pow u2 2))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* 1/3 (pow u1 2))))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (+ 1/3 (* 1/4 (pow u1 2))))))))>
#<alt (+ (log -1) (* 2 (log (/ 1 u1))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 u1))) (/ 1 (pow u1 2))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))>
#<alt (+ (log -1) (* 2 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 u1))) (/ 1 (pow u1 2))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* 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

84 calls:

TimeVariablePointExpression
55.0ms
u2
@inf
(* (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
19.0ms
u2
@0
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
8.0ms
u1
@0
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
6.0ms
u1
@-inf
(log (/ -1 (+ -1 (* u1 u1))))
2.0ms
u2
@0
(* (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))

rewrite693.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3924×*-lowering-*.f32
3924×*-lowering-*.f64
2710×/-lowering-/.f32
2710×/-lowering-/.f64
1630×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047171
1210146
21431133
08655133
Stop Event
1×iter limit
1×node limit
Counts
25 → 459
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 (neg (log (+ 1 (neg u1))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(* (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1))))))
(+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))
(log (+ 1 u1))
(* (pow (PI) 1/2) (* u2 (pow (PI) 1/2)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (PI) 1/2) (* u2 (pow (PI) 1/2))))))
(* (PI) u2)
(sin (* (PI) u2))
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(PI)
(* (PI) (PI))
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(* -4/3 (* u2 u2))
(log (/ -1 (+ -1 (* u1 u1))))
(* u2 (pow (PI) 1/2))
(sin (* 2 (* (pow (PI) 1/2) (* 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 (*.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))))
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simplify409.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
6312×*-lowering-*.f32
6312×*-lowering-*.f64
5574×+-lowering-+.f64
5574×+-lowering-+.f32
1256×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08907316
131756134
081606134
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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)))))))))))
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u1
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(* u2 (+ (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))
(+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))))
(+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))))))
(+ (sqrt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1))))))))))))
(sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))
(+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))))
(+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1)))
(+ (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))) (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (/ 1 u1))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))))
(+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))
(+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (/ 1 u1))))
(+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (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)) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) 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))
(* (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))))))))
(+ (* -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)))))))))
(* (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))))
(+ (* -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))))
(* 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)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* 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))
(* u2 (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))
(* 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))))))))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* 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))))))))
(* 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)))))))))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* 2 (* (cos (* u2 (PI))) (sin (* u2 (PI)))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(* -4/3 (pow u2 2))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* 1/3 (pow u1 2))))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (+ 1/3 (* 1/4 (pow u1 2))))))))
(+ (log -1) (* 2 (log (/ 1 u1))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (/ 1 (pow u1 2))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))
(+ (log -1) (* 2 (log (/ -1 u1))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (/ 1 (pow u1 2))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (PI)))
(* u2 (sqrt (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
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (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))))
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(+ (* 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)))))))))
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
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(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(* -4/3 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* 1/3 (pow u1 2))))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (+ 1/3 (* 1/4 (pow u1 2))))))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))))))
(+ (log -1) (* 2 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (/ 1 (pow u1 2))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32))))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))
(+.f32 (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 6 binary32)))))
(+ (log -1) (* 2 (log (/ -1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (/ 1 (pow u1 2))))
(+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))
(+.f32 (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (log.f32 #s(literal -1 binary32))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (+.f32 (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 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)))
(* 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 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (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))))

eval183.0ms (1.1%)

Compiler

Compiled 46577 to 4860 computations (89.6% saved)

prune273.0ms (1.7%)

Pruning

54 alts after pruning (49 fresh and 5 done)

PrunedKeptTotal
New1547411588
Fresh10818
Picked235
Done022
Total1559541613
Accuracy
99.8%
Counts
1613 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.2%
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
76.8%
(*.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)))
77.0%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.8%
(*.f32 (pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.3%
(*.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)))
4.4%
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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)))))))
▶73.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
51.4%
(*.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.1%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.4%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 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)))))))
56.0%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.2%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.0%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
34.1%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.7%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.7%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)))
88.8%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
82.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.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)))))))
92.8%
(*.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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
81.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
91.1%
(*.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)))
87.9%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
78.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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)))))))
▶88.0%
(*.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)))
▶96.5%
(*.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))))
97.6%
(*.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))))
97.8%
(*.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 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
98.0%
(*.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))))
✓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))))
86.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
85.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
86.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
✓86.9%
(*.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)))))))
78.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
▶98.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.0%
(*.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)))))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) u2))))
✓56.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.0%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
69.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
69.1%
(*.f32 (sqrt.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)))))))
64.6%
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
76.6%
(*.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)))
76.5%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓77.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.7%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.7%
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (+.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))))))))
69.1%
(*.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)))))
79.3%
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
▶64.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Compiler

Compiled 2543 to 1856 computations (27% saved)

simplify147.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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))))
✓cost-diff128
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 u2 (PI.f32))
✓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 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
✓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-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.f32 u1) u2)
✓cost-diff0
(*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))
✓cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓cost-diff64
(*.f32 (PI.f32) (log.f32 (E.f32)))
✓cost-diff3200
(log.f32 (E.f32))
✓cost-diff6528
(*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
Rules
1702×fma-lowering-fma.f32
1702×fma-lowering-fma.f64
1700×fmsub-define
1648×sum3-define
1626×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054375
1121325
2254274
3494274
41225274
55699274
66929274
08549274
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (* (PI) (log (E))) 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) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))))
(* 2 (* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2))))
2
(* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))
(pow (* (PI) (log (E))) 1/2)
(* (PI) (log (E)))
(PI)
(log (E))
(E)
1/2
(* u2 (pow (PI) 1/2))
u2
(pow (PI) 1/2)
(* 2 (* (* (sqrt u1) u2) (PI)))
2
(* (* (sqrt u1) u2) (PI))
(* (sqrt u1) u2)
(sqrt u1)
u1
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
(* (* 2 (* u2 (PI))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1))))))
(+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))
(log (+ 1 u1))
u1
(log (/ -1 (+ -1 (* u1 u1))))
(/ -1 (+ -1 (* u1 u1)))
-1
(+ -1 (* u1 u1))
(* u1 u1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (- (+ 1 (PI)) 1) u2))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (- (+ 1 (PI)) 1) u2))) (cos (* (PI) u2)))
(* 2 (sin (* (- (+ 1 (PI)) 1) u2)))
2
(sin (* (- (+ 1 (PI)) 1) u2))
(* (- (+ 1 (PI)) 1) u2)
(- (+ 1 (PI)) 1)
(+ 1 (PI))
1
(PI)
u2
(cos (* (PI) u2))
(* (PI) u2)
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (* (PI) (log (E))) 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) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* 2 (* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2))))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
2
#s(literal 2 binary32)
(* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))
(*.f32 (PI.f32) u2)
(pow (* (PI) (log (E))) 1/2)
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(* (PI) (log (E)))
(PI.f32)
(PI)
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.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
(pow (PI) 1/2)
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(* 2 (* (* (sqrt u1) u2) (PI)))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 u1))))
2
#s(literal 2 binary32)
(* (* (sqrt u1) u2) (PI))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
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
(* (* 2 (* u2 (PI))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
(* 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 (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1))))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))
(+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))
(+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(log (/ -1 (+ -1 (* u1 u1))))
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/ -1 (+ -1 (* u1 u1)))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
-1
#s(literal -1 binary32)
(+ -1 (* u1 u1))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (- (+ 1 (PI)) 1) 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 (* (- (+ 1 (PI)) 1) u2))) (cos (* (PI) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (- (+ 1 (PI)) 1) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (- (+ 1 (PI)) 1) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (- (+ 1 (PI)) 1) u2)
(*.f32 (PI.f32) u2)
(- (+ 1 (PI)) 1)
(PI.f32)
(+ 1 (PI))
(+.f32 #s(literal 1 binary32) (PI.f32))
1
#s(literal 1 binary32)
(PI)
(PI.f32)
u2
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)

localize325.0ms (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓accuracy96.9%
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
✓accuracy96.9%
(+.f32 #s(literal 1 binary32) (PI.f32))
✓accuracy99.2%
(+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
✓accuracy99.0%
(*.f32 u2 (PI.f32))
✓accuracy29.6%
(log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.1%
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
✓accuracy99.0%
(*.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)
✓accuracy99.2%
(*.f32 (sqrt.f32 u1) u2)
✓accuracy98.9%
(*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))
✓accuracy98.9%
(*.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 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓accuracy98.9%
(*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓accuracy96.9%
(log.f32 (E.f32))
Results
239.0ms255×0valid
2.0ms1×1valid
Compiler

Compiled 362 to 54 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 36.0ms (27.6% of total)
ival-log: 23.0ms (17.7% of total)
compiled-spec: 19.0ms (14.6% of total)
ival-sin: 11.0ms (8.4% of total)
ival-pow: 10.0ms (7.7% of total)
ival-add: 8.0ms (6.1% of total)
ival-sqrt: 7.0ms (5.4% of total)
ival-cos: 4.0ms (3.1% of total)
ival-e: 3.0ms (2.3% of total)
ival-neg: 3.0ms (2.3% of total)
ival-div: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.8% of total)
ival-sub: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series71.0ms (0.4%)

Counts
27 → 348
Calls
Call 1
Inputs
#<alt (* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))>
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2))))))>
#<alt (* 2 (* (* (sqrt u1) u2) (PI)))>
#<alt (* (* (sqrt u1) u2) (PI))>
#<alt (* (sqrt u1) u2)>
#<alt (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 (* (* 2 (* u2 (PI))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (PI)>
#<alt (- (+ 1 (PI)) 1)>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (- (+ 1 (PI)) 1) u2))) (cos (* (PI) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* u2 (pow (PI) 1/2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
#<alt (log (/ -1 (+ -1 (* u1 u1))))>
#<alt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))>
#<alt (+ 1 (PI))>
#<alt (* (PI) u2)>
Outputs
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (* u2 (PI)) (sqrt (log (E))))>
#<alt (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))))))>
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#<alt (+ (* -1 (/ (+ (* -1 (* (* u2 (PI)) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))) (* -1 (/ (+ (* (* u2 (* (PI) (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (* (/ (* u2 (* (PI) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))) (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))) u1) (sqrt (/ 1 (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))))) u1))) u1)) (* 2 (* (* u2 (PI)) (sqrt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 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) (* (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))))))>
#<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 (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* u2 (sqrt (PI)))>
#<alt (* 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 (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* 1/3 (pow u1 2))))))>
#<alt (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (+ 1/3 (* 1/4 (pow u1 2))))))))>
#<alt (+ (log -1) (* 2 (log (/ 1 u1))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 u1))) (/ 1 (pow u1 2))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))>
#<alt (+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))>
#<alt (+ (log -1) (* 2 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 u1))) (/ 1 (pow u1 2))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))>
#<alt (+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (/ 1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (/ 1 u1))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))>
#<alt (+ (* -1 (log (/ -1 u1))) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
Calls

87 calls:

TimeVariablePointExpression
23.0ms
u2
@0
(* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))
12.0ms
u2
@0
(* (* 2 (* u2 (PI))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))))
4.0ms
u2
@-inf
(* (sqrt (* u1 (+ 1 (* u1 1/2)))) (sin (* (* 2 (PI)) u2)))
3.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2))))))
1.0ms
u1
@0
(* 2 (* (* (sqrt u1) u2) (PI)))

rewrite340.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3414×*-lowering-*.f32
3414×*-lowering-*.f64
2324×/-lowering-/.f32
2324×/-lowering-/.f64
1760×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054172
1268141
21816131
09450131
Stop Event
1×iter limit
1×node limit
Counts
27 → 787
Calls
Call 1
Inputs
(* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2)))
(log (E))
(* (PI) (log (E)))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (* (pow (* (PI) (log (E))) 1/2) (* u2 (pow (PI) 1/2))))))
(* 2 (* (* (sqrt u1) u2) (PI)))
(* (* (sqrt u1) u2) (PI))
(* (sqrt u1) u2)
(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))
(* (* 2 (* u2 (PI))) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))))
(* 2 (* u2 (PI)))
(* u2 (PI))
(PI)
(- (+ 1 (PI)) 1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (- (+ 1 (PI)) 1) u2))) (cos (* (PI) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* u2 (pow (PI) 1/2))
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
(log (/ -1 (+ -1 (* u1 u1))))
(+ (log (+ 1 u1)) (log (/ -1 (+ -1 (* u1 u1)))))
(+ 1 (PI))
(* (PI) u2)
Outputs
(+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
(+.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32))) (*.f32 u2 #s(literal -1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2))
(+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) u2) (*.f32 #s(literal -1 binary32) u2))
(fma.f32 u2 #s(literal 1 binary32) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
(fma.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 u2 #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) u2 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2))
(fma.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) u2 (*.f32 #s(literal -1 binary32) u2))
(/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (*.f32 u2 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (*.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) u2) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 2 binary32)))
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(/.f32 (+.f32 (pow.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 u2 #s(literal -1 binary32)) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32))) (*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32)))) (-.f32 (*.f32 (*.f32 u2 #s(literal -1 binary32)) (*.f32 u2 #s(literal -1 binary32))) (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal 1 binary32))) (*.f32 u2 #s(literal -1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 #s(literal 1 binary32) u2)) (-.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2) (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2)) (*.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1 binary32) u2) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) u2) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) u2)) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) u2) (*.f32 #s(literal -1 binary32) u2)) (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) u2) (*.f32 #s(literal -1 binary32) u2)))))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) u2))
(*.f32 (PI.f32) (/.f32 u2 #s(literal 1 binary32)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.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 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (/.f32 u2 (+.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32)))

simplify350.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
6876×*-lowering-*.f32
6876×*-lowering-*.f64
3988×+-lowering-+.f64
3988×+-lowering-+.f32
1956×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07755946
126944948
085784948
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (* u2 (PI)) (sqrt (log (E))))
(* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))))))))
(* (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (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)))))))) (* (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (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)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (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)))))))) (* (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))))) (* 1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (+ 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)) (sqrt (log (E)))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (- 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)) (sqrt (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (* (log (E)) (log (- 1 u1))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (* (pow (log (E)) 3) (log (- 1 u1)))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (* (log (E)) (log (- 1 u1))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (* (log (E)) (log (- 1 u1)))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (* (pow (log (E)) 3) (log (- 1 u1)))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (* (pow (log (E)) 5) (log (- 1 u1))))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (* (log (E)) (log (- 1 u1)))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (* (pow (log (E)) 3) (log (- 1 u1)))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (* (pow (log (E)) 7) (log (- 1 u1)))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (* (pow (log (E)) 5) (log (- 1 u1))))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* (* u2 (PI)) (sqrt (log (E)))))) (sqrt -1)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
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(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
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(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
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(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (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) (sqrt -1/2))))
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (sqrt -1/2)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
(* -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)))
(* 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)))
1
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* 1/2 u1))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* u1 (+ 1/2 (/ 1 u1)))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (log (/ -1 (- (pow u1 2) 1)))))))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(* (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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u1
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(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
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(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
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u1
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(* u2 (PI))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(* (* u2 (PI)) (sqrt (log (E))))
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(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 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)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 (*.f32 u1 u1))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
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(+ (* -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)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -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)))
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u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 u1)) (log.f32 #s(literal -1 binary32))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/3 binary32) u1))) u1) #s(literal -1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 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)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.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 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.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 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* 1/3 (pow u1 2))))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32))))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1/2 (* (pow u1 2) (+ 1/3 (* 1/4 (pow u1 2))))))))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))))))
(+ (log -1) (* 2 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (/ 1 (pow u1 2))))
(+.f32 (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32)))))
(+ (log -1) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 6 binary32))))))
(+ (log -1) (* 2 (log (/ -1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (/ 1 (pow u1 2))))
(+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (/ 1 (pow u1 2)))))
(+.f32 (+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(+ (log -1) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 4)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 6)))))))
(+.f32 (*.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 6 binary32)))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* 2 (log (/ 1 u1)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (log.f32 u1))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (neg.f32 (log.f32 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (+ (* 2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))))
(+.f32 (neg.f32 (log.f32 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 #s(literal -1 binary32))))
(+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1)))))
(-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (/ 1 u1))))
(+.f32 (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (+ (* 2 (log -1)) (+ (* 2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))))
(+.f32 (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (* -1 (log (/ -1 u1))) (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (+ (* 2 (log -1)) (* 2 (log (/ -1 u1))))))
(-.f32 (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (log.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 binary32) (/.f32 #s(literal 1/3 binary32) u1))) u1) #s(literal -1 binary32)) u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval213.0ms (1.3%)

Compiler

Compiled 51645 to 6874 computations (86.7% saved)

prune319.0ms (2%)

Pruning

75 alts after pruning (68 fresh and 7 done)

PrunedKeptTotal
New1813381851
Fresh143044
Picked325
Done055
Total1830751905
Accuracy
99.8%
Counts
1905 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(*.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)))
77.0%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.f32 (pow.f32 (exp.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.8%
(*.f32 (pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
87.9%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (/.f32 (sqrt.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 3 binary32)))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
4.4%
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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)))))))
88.0%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)))
72.4%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
▶64.6%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
72.5%
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
72.6%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
47.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))))
76.7%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))))
75.6%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
73.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
✓73.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
75.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
74.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
51.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
88.0%
(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶88.0%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.4%
(*.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))) (*.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))))
89.1%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.0%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.2%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶93.4%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.8%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
87.9%
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.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)))))))
92.8%
(*.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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
81.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
91.1%
(*.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)))
80.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
78.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
78.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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)))))))
87.5%
(*.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) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) u2)))
85.7%
(*.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 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) u2)))
86.8%
(*.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) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))) 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))))
86.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
85.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
86.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
✓86.9%
(*.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)))))))
78.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
▶98.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))))
✓98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.0%
(*.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)))))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓56.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.0%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
76.6%
(*.f32 (sqrt.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))))
69.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
69.1%
(*.f32 (sqrt.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)))))))
76.6%
(*.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)))
76.5%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓77.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.7%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.4%
(*.f32 u2 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 u2 u2)))))
69.1%
(*.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)))))
79.3%
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
▶64.3%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
64.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
64.6%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
64.3%
(*.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))))
64.0%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
63.8%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
64.3%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
✓64.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Compiler

Compiled 3639 to 2541 computations (30.2% saved)

simplify143.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f32 u1)
✓cost-diff0
(+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))
✓cost-diff0
(sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))
✓cost-diff0
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1)
✓cost-diff0
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))
✓cost-diff0
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff0
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2)
✓cost-diff0
(*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32))
✓cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
✓cost-diff3232
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
✓cost-diff0
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
✓cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))))
✓cost-diff64
(*.f32 u2 #s(literal 1 binary32))
✓cost-diff128
(+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
Rules
2318×sum5-define
1984×sum3-define
1898×*-lowering-*.f32
1898×*-lowering-*.f64
1156×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049335
1132305
2370275
3877270
42485270
56058270
08120270
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1)))))
(* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))
2
(+ (* u2 1) (* u2 (+ (PI) -1)))
(* u2 1)
u2
1
(* u2 (+ (PI) -1))
(+ (PI) -1)
(PI)
-1
(* (* u2 (* (PI) 2)) (sqrt u1))
(* u2 (* (PI) 2))
u2
(* (PI) 2)
(PI)
2
(sqrt u1)
u1
(* 2 (* (* (pow (pow u1 1/4) 2) u2) (PI)))
2
(* (* (pow (pow u1 1/4) 2) u2) (PI))
(* (pow (pow u1 1/4) 2) u2)
(pow (pow u1 1/4) 2)
(pow u1 1/4)
u1
1/4
u2
(PI)
(* (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1))))
(/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))
(* (- 1 (* (* u1 u1) 1/4)) u1)
(- 1 (* (* u1 u1) 1/4))
1
(* (* u1 u1) 1/4)
(* u1 u1)
u1
1/4
(- 1 (* 1/2 u1))
(* 1/2 u1)
1/2
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2)))))
(+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))
(log (+ 1 u1))
u1
(* (* u1 u1) (+ 1 (* (* u1 u1) 1/2)))
(* u1 u1)
(+ 1 (* (* u1 u1) 1/2))
1
(* (* u1 u1) 1/2)
1/2
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1)))))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
2
#s(literal 2 binary32)
(+ (* u2 1) (* u2 (+ (PI) -1)))
(*.f32 u2 (PI.f32))
(* u2 1)
u2
u2
1
#s(literal 1 binary32)
(* u2 (+ (PI) -1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(+ (PI) -1)
(+.f32 (PI.f32) #s(literal -1 binary32))
(PI)
(PI.f32)
-1
#s(literal -1 binary32)
(* (* u2 (* (PI) 2)) (sqrt u1))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
(* u2 (* (PI) 2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
u2
(* (PI) 2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI)
(PI.f32)
2
#s(literal 2 binary32)
(sqrt u1)
(pow.f32 u1 #s(literal 1/2 binary32))
u1
(* 2 (* (* (pow (pow u1 1/4) 2) u2) (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))))
2
#s(literal 2 binary32)
(* (* (pow (pow u1 1/4) 2) u2) (PI))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32))))
(* (pow (pow u1 1/4) 2) u2)
(*.f32 u2 (pow.f32 u1 #s(literal 1/2 binary32)))
(pow (pow u1 1/4) 2)
(pow.f32 u1 #s(literal 1/2 binary32))
(pow u1 1/4)
(pow.f32 u1 #s(literal 1/4 binary32))
u1
1/4
#s(literal 1/4 binary32)
u2
(PI)
(PI.f32)
(* (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)))) (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))))) (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1))))
(sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)))) (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))))
(/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)))) (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))))
(* (- 1 (* (* u1 u1) 1/4)) u1)
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)))))
(- 1 (* (* u1 u1) 1/4))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal -1/4 binary32))))
1
#s(literal 1 binary32)
(* (* u1 u1) 1/4)
(*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)))
(* u1 u1)
(*.f32 u1 u1)
u1
1/4
#s(literal 1/4 binary32)
(- 1 (* 1/2 u1))
(+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))
(* 1/2 u1)
(*.f32 u1 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(* (* 2 (PI)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
(sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2)))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))
(+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))
(+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))
(log (+ 1 u1))
(log1p.f32 u1)
u1
(* (* u1 u1) (+ 1 (* (* u1 u1) 1/2)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))
(* u1 u1)
(*.f32 u1 u1)
(+ 1 (* (* u1 u1) 1/2))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(* (* u1 u1) 1/2)
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))
(* (* 2 (PI)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize268.0ms (1.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.1%
(+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.9%
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy99.4%
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))
✓accuracy99.4%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.8%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy100.0%
(PI.f32)
✓accuracy99.2%
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2)
✓accuracy98.9%
(*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32))
✓accuracy98.4%
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy100.0%
(PI.f32)
✓accuracy99.0%
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
✓accuracy98.9%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
✓accuracy99.5%
(+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
✓accuracy99.4%
(sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))))
✓accuracy98.5%
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
Results
197.0ms256×0valid
Compiler

Compiled 353 to 49 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 32.0ms (32.8% of total)
compiled-spec: 15.0ms (15.4% of total)
ival-add: 10.0ms (10.3% of total)
ival-log: 9.0ms (9.2% of total)
ival-pow: 9.0ms (9.2% of total)
ival-sin: 7.0ms (7.2% of total)
ival-sqrt: 7.0ms (7.2% of total)
ival-neg: 3.0ms (3.1% of total)
ival-div: 2.0ms (2.1% of total)
ival-sub: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.2%)

Counts
25 → 360
Calls
Call 1
Inputs
#<alt (+ (* u2 1) (* u2 (+ (PI) -1)))>
#<alt (* u2 1)>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (* (* u2 (* (PI) 2)) (sqrt u1))>
#<alt (* u2 (* (PI) 2))>
#<alt (* (PI) 2)>
#<alt (PI)>
#<alt (pow (pow u1 1/4) 2)>
#<alt (* 2 (* (* (pow (pow u1 1/4) 2) u2) (PI)))>
#<alt (* (* (pow (pow u1 1/4) 2) u2) (PI))>
#<alt (* (pow (pow u1 1/4) 2) u2)>
#<alt (* (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1))))>
#<alt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))>
#<alt (* (- 1 (* (* u1 u1) 1/4)) u1)>
#<alt (* (sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2)))))>
#<alt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))>
#<alt (log (+ 1 u1))>
#<alt (* u2 (+ (PI) -1))>
#<alt (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1)))))>
#<alt (sqrt u1)>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 2 (PI)) u2))>
Outputs
#<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 (* u2 (- (* -1 (- (PI) 1)) 1)))>
#<alt (* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))>
#<alt (* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))>
#<alt (* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt u2>
#<alt (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))))))))>
#<alt (* (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
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#<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) (+ (* 1/6 (* (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)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 5) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 5) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (* (pow u1 2) (sqrt 1/2))>
#<alt (* (pow u1 2) (+ (sqrt 1/2) (* 1/2 (/ 1 (* (pow u1 2) (sqrt 1/2))))))>
#<alt (* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (/ 1/2 (* (pow u1 2) (sqrt 1/2))))))>
#<alt (* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (+ (/ 1/2 (* (pow u1 2) (sqrt 1/2))) (* 1/2 (/ 1 (* (pow u1 5) (sqrt 1/2))))))))>
#<alt (* (pow u1 2) (sqrt 1/2))>
#<alt (* (pow u1 2) (+ (sqrt 1/2) (* 1/2 (/ 1 (* (pow u1 2) (sqrt 1/2))))))>
#<alt (* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (/ 1/2 (* (pow u1 2) (sqrt 1/2))))))>
#<alt (* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (+ (/ 1/2 (* (pow u1 2) (sqrt 1/2))) (* 1/2 (/ 1 (* (pow u1 5) (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 (* 1/2 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/2 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ 1 u1)) (pow u1 4))) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ 1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 5))))))>
#<alt (* 1/2 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/2 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ -1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ (log -1) (pow u1 4))))))>
#<alt (* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ -1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 5)) (/ (log -1) (pow u1 4)))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 1))>
#<alt (* u2 (- (PI) 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) 1)) (* -1 u2))))>
#<alt (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))>
#<alt (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))>
#<alt (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))>
#<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))))>
Calls

90 calls:

TimeVariablePointExpression
4.0ms
u1
@-inf
(* 2 (* (* (pow (pow u1 1/4) 2) u2) (PI)))
1.0ms
u2
@inf
(* (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))))
1.0ms
u1
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))))

rewrite344.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
5006×*-lowering-*.f32
5006×*-lowering-*.f64
2612×/-lowering-/.f32
2612×/-lowering-/.f64
2204×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049200
1277167
22167161
09885161
Stop Event
1×iter limit
1×node limit
Counts
25 → 510
Calls
Call 1
Inputs
(+ (* u2 1) (* u2 (+ (PI) -1)))
(* u2 1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1))))))
(sqrt (neg (log (+ 1 (neg u1)))))
(* (* u2 (* (PI) 2)) (sqrt u1))
(* u2 (* (PI) 2))
(* (PI) 2)
(PI)
(pow (pow u1 1/4) 2)
(* 2 (* (* (pow (pow u1 1/4) 2) u2) (PI)))
(* (* (pow (pow u1 1/4) 2) u2) (PI))
(* (pow (pow u1 1/4) 2) u2)
(* (sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))) (sin (* (* 2 (PI)) u2)))
(sqrt (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1))))
(/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- 1 (* 1/2 u1)))
(* (- 1 (* (* u1 u1) 1/4)) u1)
(* (sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2)))))
(+ (log (+ 1 u1)) (* (* u1 u1) (+ 1 (* (* u1 u1) 1/2))))
(log (+ 1 u1))
(* u2 (+ (PI) -1))
(sin (* 2 (+ (* u2 1) (* u2 (+ (PI) -1)))))
(sqrt u1)
(* (* 2 (PI)) u2)
(sin (* (* 2 (PI)) u2))
Outputs
(+.f32 u2 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
(+.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)
(+.f32 (*.f32 u2 (PI.f32)) (+.f32 (neg.f32 u2) u2))
(+.f32 (+.f32 u2 (*.f32 u2 (PI.f32))) (neg.f32 u2))
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))))) #s(literal -1 binary32))
(fma.f32 u2 #s(literal 1 binary32) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
(fma.f32 u2 (PI.f32) (+.f32 (neg.f32 u2) u2))
(fma.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)) u2)
(fma.f32 u2 (*.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32))) u2)
(fma.f32 #s(literal 1 binary32) u2 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)
(fma.f32 #s(literal 1 binary32) (*.f32 u2 (PI.f32)) (+.f32 (neg.f32 u2) u2))
(fma.f32 (PI.f32) u2 (+.f32 (neg.f32 u2) u2))
(fma.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) u2 u2)
(fma.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) #s(literal 1 binary32) u2)
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) (+.f32 (neg.f32 u2) u2))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2) (+.f32 (neg.f32 u2) u2))
(fma.f32 (*.f32 u2 (PI.f32)) #s(literal 1 binary32) (+.f32 (neg.f32 u2) u2))
(fma.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 (neg.f32 u2) u2))
(fma.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 u2) u2))
(fma.f32 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)) u2 u2)
(-.f32 (/.f32 (*.f32 u2 u2) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32))))) (/.f32 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32)))) (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32)))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))) (-.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))))
(/.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32))))) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2)) (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))))) (neg.f32 (+.f32 (*.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2)) (*.f32 u2 u2))))
(/.f32 (neg.f32 (*.f32 (*.f32 u2 (+.f32 #s(literal 0 binary32) (PI.f32))) (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))))) (neg.f32 (*.f32 u2 (-.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32))))))
(/.f32 (-.f32 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))))) (*.f32 u2 u2)) (-.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2))
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(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (pow.f32 u1 #s(literal 3/8 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/8 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/8 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (pow.f32 u1 #s(literal 1/8 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 3/8 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 1/8 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32)) u2)
(sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))

simplify329.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
7384×*-lowering-*.f32
7384×*-lowering-*.f64
3324×+-lowering-+.f64
3324×+-lowering-+.f32
1622×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06665483
122834674
082654674
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
u2
u2
u2
u2
u2
u2
u2
u2
u2
u2
u2
u2
(* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))))))
(+ (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))))))))
(* (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (* (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 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (* (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 (* u2 (- (PI) 1))))) (* (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 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* 1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (+ 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 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (- 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 (* u2 (- (PI) 1)))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))))
(* 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)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2)))) (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))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* 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)))
(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)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) (* u2 (PI)))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (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 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (PI)))))
(* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 5))))))))
(* u2 (+ (* 2 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (pow (PI) 5)))))))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- 1 (* 1/4 (pow u1 2)))) (- 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) (sqrt -1/2))))
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (sqrt -1/2)))) (* (sqrt -1) (sqrt -1/2)))))
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))
(* -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)))
(* 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)))
u1
(* u1 (+ 1 (* -1/4 (pow u1 2))))
(* u1 (+ 1 (* -1/4 (pow u1 2))))
(* u1 (+ 1 (* -1/4 (pow u1 2))))
(* -1/4 (pow u1 3))
(* (pow u1 3) (- (/ 1 (pow u1 2)) 1/4))
(* (pow u1 3) (- (/ 1 (pow u1 2)) 1/4))
(* (pow u1 3) (- (/ 1 (pow u1 2)) 1/4))
(* -1/4 (pow u1 3))
(* -1 (* (pow u1 3) (- 1/4 (/ 1 (pow u1 2)))))
(* -1 (* (pow u1 3) (- 1/4 (/ 1 (pow u1 2)))))
(* -1 (* (pow u1 3) (- 1/4 (/ 1 (pow u1 2)))))
(* (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) (+ (* 1/6 (* (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)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))
(* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))
(* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))
(* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 5) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))
(* (pow u1 2) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))
(* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))
(* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))
(* (pow u1 2) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (sqrt 1/2)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 5) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow u1 4) (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))
(* 2 (* (* u2 (PI)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2))))))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 u1)) (* (pow u1 2) (+ 1 (* 1/2 (pow u1 2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (pow u1 2) (sqrt 1/2))
(* (pow u1 2) (+ (sqrt 1/2) (* 1/2 (/ 1 (* (pow u1 2) (sqrt 1/2))))))
(* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (/ 1/2 (* (pow u1 2) (sqrt 1/2))))))
(* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* -1 (log (/ 1 u1))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (+ (/ 1/2 (* (pow u1 2) (sqrt 1/2))) (* 1/2 (/ 1 (* (pow u1 5) (sqrt 1/2))))))))
(* (pow u1 2) (sqrt 1/2))
(* (pow u1 2) (+ (sqrt 1/2) (* 1/2 (/ 1 (* (pow u1 2) (sqrt 1/2))))))
(* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (/ 1/2 (* (pow u1 2) (sqrt 1/2))))))
(* (pow u1 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow u1 4) (sqrt 1/2)))) (+ (/ 1/2 (* (pow u1 2) (sqrt 1/2))) (* 1/2 (/ 1 (* (pow u1 5) (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)))))))
(* 1/2 (pow u1 4))
(* (pow u1 4) (+ 1/2 (/ 1 (pow u1 2))))
(* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ 1 u1)) (pow u1 4))) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ 1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 5))))))
(* 1/2 (pow u1 4))
(* (pow u1 4) (+ 1/2 (/ 1 (pow u1 2))))
(* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ -1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ (log -1) (pow u1 4))))))
(* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ -1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 5)) (/ (log -1) (pow u1 4)))))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* u2 (- (PI) 1))
(* 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) 1)) (* -1 u2))))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(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)))
(* 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))))
Outputs
(* 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 (* u2 (- (* -1 (- (PI) 1)) 1)))
(*.f32 u2 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
(*.f32 u2 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
(*.f32 u2 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(* -1 (* u2 (- (* -1 (- (PI) 1)) 1)))
(*.f32 u2 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32)))))
u2
u2
u2
u2
u2
u2
u2
u2
u2
u2
u2
u2
(* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2)))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32)))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(+ (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))))) (*.f32 u1 (*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))))))
(+ (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (+ u2 (* u2 (- (PI) 1))))))))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) #s(literal -1/4 binary32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32)))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))
(* (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (+ u2 (* u2 (- (PI) 1))))) (* (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 (* u2 (- (PI) 1))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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u1
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(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (log.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal 4 binary32))))))
(* (pow u1 4) (+ 1/2 (+ (* -1 (/ (log (/ -1 u1)) (pow u1 4))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 5)) (/ (log -1) (pow u1 4)))))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))) (/.f32 (log.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal 4 binary32))))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+.f32 (log.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1))) u1))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* u2 (- (PI) 1))
(*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 (*.f32 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 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #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 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32)))))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32)))))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32)))))
(sin (* 2 (- (* u2 (- (PI) 1)) (* -1 u2))))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal -1 binary32)))))
(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 #s(literal 1 binary32) (sqrt.f32 u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 (*.f32 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 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #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 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))

eval105.0ms (0.7%)

Compiler

Compiled 26812 to 3261 computations (87.8% saved)

prune248.0ms (1.6%)

Pruning

80 alts after pruning (73 fresh and 7 done)

PrunedKeptTotal
New1057241081
Fresh144963
Picked415
Done167
Total1076801156
Accuracy
99.9%
Counts
1156 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(*.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)))
88.0%
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
74.9%
(*.f32 (pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))))
77.0%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.8%
(*.f32 (pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
87.9%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.9%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
4.4%
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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)))))))
88.0%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)))
64.6%
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
64.3%
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
64.3%
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
64.6%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
64.6%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
72.4%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
✓64.6%
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
72.5%
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
72.6%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
47.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))))
76.7%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))))
75.6%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
73.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
✓73.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
75.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
74.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
51.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
72.3%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
78.4%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
87.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
88.0%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))) (*.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))))
89.1%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.0%
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.f32 (sqrt.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.2%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.4%
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.6%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.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)))))))
92.8%
(*.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))))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
81.1%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
91.1%
(*.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)))
80.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
78.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
78.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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)))))))
85.7%
(*.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 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) u2)))
86.8%
(*.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) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))) u2)))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 u2 #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 2 binary32))))))
78.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
86.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
85.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
86.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
✓86.9%
(*.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)))))))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (+.f32 u2 (*.f32 u2 (PI.f32))) (neg.f32 u2)))))
98.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2))))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))) (*.f32 u2 u2)) (-.f32 (*.f32 u2 (PI.f32)) (neg.f32 u2)))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (/.f32 (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)) u2) (+.f32 (PI.f32) #s(literal 1 binary32)))))))
✓98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.0%
(*.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)))))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓56.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.0%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
69.1%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
69.1%
(*.f32 (sqrt.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)))))))
76.6%
(*.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)))
76.5%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓77.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.9%
(*.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)))
75.7%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
69.1%
(*.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)))))
83.2%
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
64.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
64.3%
(*.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))))
64.0%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
63.8%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
64.3%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
✓64.5%
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Compiler

Compiled 4775 to 2003 computations (58.1% saved)

regimes376.0ms (2.4%)

Counts
128 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
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(*.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)))
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(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 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 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))))))) (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 1/2 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)))) (*.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 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))) (*.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))))
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.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 (*.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 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 u2 #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.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 (PI.f32) u2))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))) (+.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 (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))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) (*.f32 (PI.f32) u2))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 3 binary32)))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (/.f32 (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)) u2) (+.f32 (PI.f32) #s(literal 1 binary32)))))))
Calls

10 calls:

43.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
39.0ms
u2
35.0ms
(-.f32 #s(literal 1 binary32) u1)
34.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
34.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1u1
98.5%1u2
98.5%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)))
98.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.5%1(-.f32 #s(literal 1 binary32) u1)
98.5%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes249.0ms (1.6%)

Counts
82 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (PI.f32) #s(literal 1 binary32)) #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 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
(*.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 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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 u1 (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 u2 u2)))))
(*.f32 (sqrt.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.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 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) u2)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 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 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.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)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 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 (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32))) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (+.f32 u2 (*.f32 u2 (PI.f32))) (neg.f32 u2)))))
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.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))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)))
(*.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)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.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))))
Calls

10 calls:

28.0ms
cosTheta_i
25.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
24.0ms
u1
24.0ms
(-.f32 #s(literal 1 binary32) u1)
24.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.3%1cosTheta_i
98.3%1u1
98.3%1u2
98.3%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)))
98.3%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.3%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.3%1(-.f32 #s(literal 1 binary32) u1)
98.3%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes198.0ms (1.2%)

Counts
63 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (PI.f32) #s(literal 1 binary32)) #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 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
(*.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 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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 u1 (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 u2 u2)))))
(*.f32 (sqrt.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.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 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(*.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 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) u2)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/8 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 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 (PI.f32) (log.f32 (E.f32)))) u2)))
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 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

40.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
20.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms
u1
19.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
18.0ms
cosTheta_i
Results
AccuracySegmentsBranch
92.8%1cosTheta_i
96.6%2u1
96.9%2u2
96.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
96.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.6%2(-.f32 #s(literal 1 binary32) u1)
92.8%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes39.0ms (0.2%)

Counts
56 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (PI.f32) #s(literal 1 binary32)) #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 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
(*.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 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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 u1 (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 u2 (*.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 u2 u2)))))
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 (+.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:

16.0ms
u2
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
96.9%2u2
96.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes32.0ms (0.2%)

Counts
48 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (PI.f32) #s(literal 1 binary32)) #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 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))))
(*.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 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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 (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:

14.0ms
u2
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
96.7%2u2
96.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes136.0ms (0.9%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (PI.f32) #s(literal 1 binary32)) #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 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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:

34.0ms
cosTheta_i
13.0ms
u2
13.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
u1
Results
AccuracySegmentsBranch
91.1%1cosTheta_i
91.1%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
94.7%2u1
94.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.7%2(-.f32 #s(literal 1 binary32) u1)
94.9%2u2
94.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes88.0ms (0.6%)

Counts
40 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (+.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.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)))
(*.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 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

7 calls:

15.0ms
u1
13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
u2
Results
AccuracySegmentsBranch
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)
94.2%2u2
94.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes113.0ms (0.7%)

Counts
35 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) u1)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

23.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms
(-.f32 #s(literal 1 binary32) u1)
11.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
u1
Results
AccuracySegmentsBranch
93.4%2u1
93.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.4%2(-.f32 #s(literal 1 binary32) u1)
88.0%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
88.0%1cosTheta_i
93.7%2u2
93.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes27.0ms (0.2%)

Counts
34 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
(*.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)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

13.0ms
u2
11.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
93.6%2u2
93.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes104.0ms (0.6%)

Counts
33 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log1p.f32 u1) (*.f32 u1 u1))))
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 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (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:

16.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
cosTheta_i
12.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
9.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
87.8%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
82.6%1cosTheta_i
88.7%2u1
88.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
88.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
88.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
88.7%2(-.f32 #s(literal 1 binary32) u1)
90.3%2u2
90.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes46.0ms (0.3%)

Counts
30 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) u2) (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (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 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

2 calls:

35.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
u2
Results
AccuracySegmentsBranch
90.3%2u2
90.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes33.0ms (0.2%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 u2 (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.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)))))))
Calls

2 calls:

23.0ms
u1
7.0ms
u2
Results
AccuracySegmentsBranch
82.6%1u1
82.6%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes31.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.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))))))) (*.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 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (/.f32 (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal 1 binary32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

16.0ms
cosTheta_i
7.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
81.1%1cosTheta_i
81.1%1u2
81.1%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 #s(literal 1/2 binary32))))) (*.f32 u2 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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)))))))
Calls

3 calls:

9.0ms
cosTheta_i
6.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
78.5%1cosTheta_i
78.5%1u1
78.5%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
Outputs
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
Calls

3 calls:

10.0ms
u1
6.0ms
cosTheta_i
5.0ms
u2
Results
AccuracySegmentsBranch
78.7%2u2
78.8%2u1
75.2%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)))) (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
Outputs
(*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
Calls

3 calls:

8.0ms
u2
5.0ms
u1
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
74.2%1cosTheta_i
77.7%2u2
77.7%2u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
(*.f32 (sqrt.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)))))))
Outputs
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (sqrt.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)))))))
Calls

3 calls:

7.0ms
u2
4.0ms
u1
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
72.4%1cosTheta_i
76.0%2u2
75.9%2u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u2 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) #s(literal 1/8 binary32)))
Outputs
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
Calls

2 calls:

4.0ms
u2
4.0ms
u1
Results
AccuracySegmentsBranch
72.4%1u1
72.4%1u2
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

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

3 calls:

3.0ms
u1
3.0ms
cosTheta_i
3.0ms
u2
Results
AccuracySegmentsBranch
64.6%1u2
64.6%1cosTheta_i
64.6%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes103.0ms (0.6%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) u2) (PI.f32)))
Outputs
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
Calls

3 calls:

97.0ms
cosTheta_i
3.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
64.6%1u2
64.6%1cosTheta_i
64.6%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

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

3 calls:

2.0ms
u1
2.0ms
cosTheta_i
2.0ms
u2
Results
AccuracySegmentsBranch
64.6%1u2
64.6%1u1
64.6%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.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:

2.0ms
u2
1.0ms
cosTheta_i
1.0ms
u1
Results
AccuracySegmentsBranch
64.5%1u2
64.5%1cosTheta_i
64.5%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.08466421812772751
0.10799850523471832
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.08466421812772751
0.10799850523471832
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.08466421812772751
0.10799850523471832
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.003363976487889886
0.004572056233882904
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004597906023263931
0.0046948217786848545
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004597906023263931
0.0046948217786848545
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.004597906023263931
0.0046948217786848545
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.12226931750774384
0.12362828105688095
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.12226931750774384
0.12362828105688095
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
1.1912907211808488e-5
1.7607608242542483e-5
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
1.1912907211808488e-5
1.7607608242542483e-5
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0010320971487089992
0.0010489870328456163
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify63.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
118×*-commutative_binary32
42×+-commutative_binary32
10×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133693
1222693
2235693
3241693
4243693
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 (*.f32 u2 #s(literal 1 binary32)) (/.f32 (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)) u2) (+.f32 (PI.f32) #s(literal 1 binary32)))))))
(*.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 (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 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 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 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 (+.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 (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 8589935/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (+.f32 (*.f32 #s(literal 1/2 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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16508781/134217728 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 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (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 16508781/134217728 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 (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 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 (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))))))) (*.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 #s(literal 1/2 binary32))))) (*.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)))))))
(if (<=.f32 u1 #s(literal 8246337/549755813888 binary32)) (*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(if (<=.f32 u1 #s(literal 8246337/549755813888 binary32)) (*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 u2 #s(literal 2233383/2147483648 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.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 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (/.f32 (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)) u2) (+.f32 (PI.f32) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (+.f32 u2 (/.f32 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 (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 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 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 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 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))))) (*.f32 (sqrt.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 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))))) (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 (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 (+.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 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))))) (*.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 (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 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))))) (*.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 8589935/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 8589935/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) 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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (+.f32 (*.f32 #s(literal 1/2 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 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 9878425/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 16508781/134217728 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 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (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 16508781/134217728 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.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 16508781/134217728 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 (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 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 16508781/134217728 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) (*.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 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 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 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.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 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(if (<=.f32 u1 #s(literal 8246337/549755813888 binary32)) (*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))
(if (<=.f32 u1 #s(literal 8246337/549755813888 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (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 u2 (PI.f32)))))
(if (<=.f32 u1 #s(literal 8246337/549755813888 binary32)) (*.f32 (sqrt.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 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 u1 #s(literal 8246337/549755813888 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(if (<=.f32 u2 #s(literal 2233383/2147483648 binary32)) (*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.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))))))))
(if (<=.f32 u2 #s(literal 2233383/2147483648 binary32)) (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (PI.f32)) u2))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (pow.f32 u1 #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) (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))))

soundness3.7s (23.2%)

Rules
7384×*-lowering-*.f32
7384×*-lowering-*.f64
6876×*-lowering-*.f32
6876×*-lowering-*.f64
6312×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054172
1268141
21816131
09450131
047171
1210146
21431133
08655133
02268
19368
251160
3425760
0810960
03183588
110452966
237492730
083872730
049200
1277167
22167161
09885161
07755946
126944948
085784948
08907316
131756134
081606134
01313
12512
23812
34812
46212
57912
610112
711512
812712
912812
012812
06665483
122834674
082654674
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1934 to 1131 computations (41.5% saved)

preprocess202.0ms (1.3%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 2524 to 1162 computations (54% saved)

end0.0ms (0%)

Profiling

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