Beckmann Sample, near normal, slope_y

Time bar (total: 15.7s)

analyze630.0ms (4%)

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: 349.0ms
ival-mult: 102.0ms (29.2% of total)
...c/correct-round.rkt:119:19: 69.0ms (19.8% of total)
ival-log: 51.0ms (14.6% of total)
ival-sin: 37.0ms (10.6% of total)
ival-<=: 27.0ms (7.7% of total)
ival-sqrt: 13.0ms (3.7% of total)
ival-sub: 12.0ms (3.4% of total)
ival-and: 11.0ms (3.2% of total)
ival-neg: 9.0ms (2.6% of total)
ival-pi: 8.0ms (2.3% of total)
ival->: 7.0ms (2% of total)
const: 2.0ms (0.6% of total)
backward-pass: 1.0ms (0.3% of total)

sample3.1s (19.9%)

Results
2.4s8256×0valid
0.0ms1×0precondition
Precisions
Click to see histograms. Total time spent on operations: 1.9s
...c/correct-round.rkt:119:19: 518.0ms (27% of total)
ival-sin: 435.0ms (22.7% of total)
ival-mult: 217.0ms (11.3% of total)
ival-log: 203.0ms (10.6% of total)
ival-<=: 148.0ms (7.7% of total)
ival-pi: 81.0ms (4.2% of total)
ival-sqrt: 81.0ms (4.2% of total)
ival-sub: 75.0ms (3.9% of total)
ival->: 54.0ms (2.8% of total)
ival-and: 49.0ms (2.6% of total)
ival-neg: 48.0ms (2.5% of total)
const: 9.0ms (0.5% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess506.0ms (3.2%)

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
1111118
2207118
3384118
4775118
51646118
62396118
73150118
85591118
95995118
106200118
116274118
126302118
01313
12812
24112
35112
46512
58212
610412
711812
813012
913112
013112
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (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)))) (fast-sin (* (PI) (* 2 u2))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(* (sqrt (neg (log1p (neg u1)))) (fast-sin (* (PI) (* 2 u2))))
(* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2)))
(* (fast-sin (* (PI) (* 2 u2))) (sqrt (neg (log1p u1))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2))))
(* (sqrt (neg (log1p (neg u1)))) (fast-sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p (neg u1)))) (fast-sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (sin (* (* 2 (PI)) u2))))
(* (sqrt (neg (log1p u1))) (fast-sin (* (PI) (* u2 -2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log1p (neg u1)))) (fast-sin (* (PI) (* 2 u2))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (sin (* (* 2 (PI)) u2)))
(* (fast-sin (* (PI) (* 2 u2))) (sqrt (neg (log1p (neg cosTheta_i)))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log1p (neg u1)))) (fast-sin (* (PI) (* 2 cosTheta_i))))
(* (sqrt (neg (log (- 1 u2)))) (sin (* (* 2 (PI)) u1)))
(* (sqrt (neg (log1p (neg u2)))) (fast-sin (* u1 (* 2 (PI)))))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain206.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2063(0.9999370574951172 0.0040903701446950436 6.496201798711354e-9)5(0.9999390244483948 0.011093462817370892 0.0020597504917532206)(log.f32 (-.f32 #s(literal 1 binary32) u1))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 (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
135.0ms512×0valid
Compiler

Compiled 124 to 44 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 10.0ms (20.9% of total)
ival-log: 10.0ms (20.9% of total)
ival-neg: 10.0ms (20.9% of total)
ival-sin: 7.0ms (14.6% of total)
ival-sqrt: 4.0ms (8.4% of total)
ival-sub: 3.0ms (6.3% of total)
ival-pi: 2.0ms (4.2% of total)
const: 1.0ms (2.1% 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
▶98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶56.4%
(*.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)

simplify12.0ms (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
14790
26190
37190
49090
511090
612790
714290
814390
014390
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sqrt (neg (log (- 1 u1)))) (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 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(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 (* (PI) u2))))
(*.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 (* (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
#s(literal 2 binary32)
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2

localize118.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.6%
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
✓accuracy98.9%
(*.f32 (PI.f32) u2)
✓accuracy99.6%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy98.9%
(*.f32 (*.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)))
✓accuracy54.4%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
88.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 10.0ms (20.6% of total)
ival-sin: 9.0ms (18.6% of total)
ival-log: 9.0ms (18.6% of total)
compiled-spec: 7.0ms (14.4% of total)
ival-sqrt: 4.0ms (8.2% of total)
ival-neg: 4.0ms (8.2% of total)
ival-add: 2.0ms (4.1% of total)
ival-sub: 2.0ms (4.1% of total)
ival-pi: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.4%)

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
39.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

rewrite309.0ms (2%)

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
19968
252860
3432260
0832260
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 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) #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))))
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(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(fma.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #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 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) #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)))

simplify768.0ms (4.9%)

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
110602966
237812730
084292730
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 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.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 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.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 #s(literal -1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32)))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (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 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (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 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (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 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32))))))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32))))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.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 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.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 #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 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.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 #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))))

eval37.0ms (0.2%)

Compiler

Compiled 10357 to 1284 computations (87.6% saved)

prune131.0ms (0.8%)

Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New45027477
Fresh000
Picked022
Done000
Total45029479
Accuracy
99.7%
Counts
479 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶50.1%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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)))
91.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.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)))
72.7%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.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)))
▶98.4%
(*.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))))
94.3%
(*.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 (*.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))))))))))
92.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 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 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
98.0%
(*.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 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
97.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32))))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
✓98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
▶53.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
50.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
56.4%
(*.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))))
56.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
▶56.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
✓56.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶76.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1481 to 1041 computations (29.7% saved)

simplify179.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
✓cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓cost-diff0
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))
✓cost-diff0
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
✓cost-diff0
(sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
✓cost-diff0
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (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)))) (*.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-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓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
2752×sum3-define
2288×*-lowering-*.f32
2288×*-lowering-*.f64
1464×fma-lowering-fma.f32
1464×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05817179869570
115117179869523
233317179869518
383717179869518
4174917179869518
5225717179869518
6237317179869518
7284517179869518
8331917179869518
9399117179869518
10523417179869518
11781917179869518
08285379
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 u1)))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
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 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1))))))
(+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))
(log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))))
(/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))
(+ 1 (* u1 (+ 1 u1)))
1
(* u1 (+ 1 u1))
u1
(+ 1 u1)
(+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))
(* (* u1 u1) (* u1 (* u1 (* u1 u1))))
(* u1 u1)
(* u1 (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(log (+ 1 (* u1 (* u1 u1))))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(sin (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2))))
(* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))
(pow (PI) 2/3)
(PI)
2/3
(* (pow (PI) 1/3) (* 2 u2))
(pow (PI) 1/3)
1/3
(* 2 u2)
2
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
(*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(cos (* (PI) u2))
(cos.f32 (*.f32 (PI.f32) u2))
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (- 1 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 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 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
(* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))))
(*.f32 (PI.f32) (*.f32 u2 (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))))
u2
(* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))
(*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))))
(PI)
(PI.f32)
(+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))
(+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))
2
#s(literal 2 binary32)
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))))
(* -4/3 (* u2 u2))
(*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))
-4/3
#s(literal -4/3 binary32)
(* u2 u2)
(*.f32 u2 u2)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))))
(sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1))))))
(sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))
(+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))))
(/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))
(+ 1 (* u1 (+ 1 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))
(* (* u1 u1) (* u1 (* u1 (* u1 u1))))
(*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(* u1 u1)
(*.f32 u1 u1)
(* u1 (* u1 (* u1 u1)))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(log (+ 1 (* u1 (* u1 u1))))
(log1p.f32 (*.f32 u1 (*.f32 u1 u1)))
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2
(* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(sqrt (neg (log (- 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (- 1 u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (- 1 u1))
(log1p.f32 (neg.f32 u1))
(- 1 u1)
(-.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(sin (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2))))
(sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
(* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(pow (PI) 2/3)
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
(PI)
(PI.f32)
2/3
#s(literal 2/3 binary32)
(* (pow (PI) 1/3) (* 2 u2))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(pow (PI) 1/3)
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
2
#s(literal 2 binary32)
u2

localize709.0ms (4.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
✓accuracy97.4%
(pow.f32 (PI.f32) #s(literal 2/3 binary32))
✓accuracy83.5%
(PI.f32)
✓accuracy70.7%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.1%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓accuracy83.5%
(PI.f32)
✓accuracy68.2%
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))
✓accuracy99.1%
(*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))
✓accuracy97.4%
(*.f32 (PI.f32) (PI.f32))
✓accuracy83.5%
(PI.f32)
✓accuracy70.7%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓accuracy99.7%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓accuracy99.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy99.1%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy83.5%
(PI.f32)
✓accuracy99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓accuracy99.2%
(*.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))))
✓accuracy99.1%
(*.f32 (PI.f32) u2)
✓accuracy83.5%
(PI.f32)
Results
213.0ms45×5exit
186.0ms65×1valid
147.0ms136×0valid
48.0ms10×2valid
Compiler

Compiled 502 to 58 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-mult: 77.0ms (25.6% of total)
backward-pass: 54.0ms (18% of total)
ival-log: 37.0ms (12.3% of total)
compiled-spec: 33.0ms (11% of total)
ival-sin: 21.0ms (7% of total)
...c/correct-round.rkt:119:19: 20.0ms (6.6% of total)
ival-pow: 15.0ms (5% of total)
ival-add: 14.0ms (4.7% of total)
ival-sqrt: 11.0ms (3.7% of total)
ival-neg: 7.0ms (2.3% of total)
ival-cos: 4.0ms (1.3% of total)
ival-div: 3.0ms (1% of total)
ival-pi: 2.0ms (0.7% of total)
ival-sub: 2.0ms (0.7% of total)
const: 1.0ms (0.3% of total)

series108.0ms (0.7%)

Counts
24 → 312
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 (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1))))))>
#<alt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))>
#<alt (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))))>
#<alt (PI)>
#<alt (* (PI) u2)>
#<alt (* (PI) (PI))>
#<alt (* -4/3 (* u2 u2))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow (PI) 2/3)>
#<alt (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))>
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))))))))>
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#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<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 u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

78 calls:

TimeVariablePointExpression
40.0ms
u2
@inf
(* (sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
20.0ms
u1
@inf
(sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1))))))
8.0ms
u1
@0
(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
3.0ms
u2
@-inf
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (PI) u2))))
2.0ms
u2
@0
(* (sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))

rewrite320.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2942×*-lowering-*.f32
2942×*-lowering-*.f64
1876×/-lowering-/.f32
1876×/-lowering-/.f64
1854×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058220
1279174
21965149
09351149
Stop Event
1×iter limit
1×node limit
Counts
24 → 471
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)
(log (- 1 u1))
(* (sqrt (neg (log (- 1 u1)))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(* (sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1))))))
(+ (log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1))))))) (log (+ 1 (* u1 (* u1 u1)))))
(log (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* (* u1 u1) (* u1 (* u1 (* u1 u1)))))))
(* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))))
(PI)
(* (PI) u2)
(* (PI) (PI))
(* -4/3 (* u2 u2))
(* u1 (+ 1 u1))
(pow (PI) 2/3)
(* (pow (PI) 2/3) (* (pow (PI) 1/3) (* 2 u2)))
Outputs
(*.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 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.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 (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(sqrt.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (-.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 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(sqrt.f32 u1)
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (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 1/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (-.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 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
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(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/9 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))
(pow.f32 (exp.f32 #s(literal 2/3 binary32)) (log.f32 (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (PI.f32) #s(literal 4/9 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/6 binary32)) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (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 1/3 binary32)) (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))

simplify359.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
5778×*-lowering-*.f32
5778×*-lowering-*.f64
4366×+-lowering-+.f64
4366×+-lowering-+.f32
1498×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07957210
128255925
270855893
080025893
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -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)))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))
(* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (pow (PI) 5))))))))
(* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(* (sqrt u1) (sin (* 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 (* 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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* -1 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)))
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(+ (* (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))
(* -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))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* 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))))
(+ (* -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))))))
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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 (* (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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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(+ (* -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))))))))
(-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
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(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (neg.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))))))
(+ (* -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))))))))))
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
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(+ (* -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))))))
(-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1))
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(-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (+.f32 (sin.f32 (*.f32 u2 (PI.f32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (*.f32 u2 (PI.f32))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.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) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (*.f32 u2 (PI.f32))) u1)))))) u1)) u1))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal -2/3 binary32)))))))
(* 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)))))))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.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) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1))))) u1)) u1))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 #s(literal 4/15 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (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))
(* -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))
(* -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))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* 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)))

eval138.0ms (0.9%)

Compiler

Compiled 39876 to 4598 computations (88.5% saved)

prune229.0ms (1.5%)

Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1235361271
Fresh14822
Picked235
Done022
Total1251491300
Accuracy
99.9%
Counts
1300 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(+.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))))))
76.9%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 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)))
4.2%
(*.f32 (*.f32 (sqrt.f32 u1) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32))))))
▶65.6%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
85.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.5%
(*.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.7%
(*.f32 (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.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)))))))
50.1%
(*.f32 (sqrt.f32 (+.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
51.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.7%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
81.9%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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)))))))
84.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
93.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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)))
83.1%
(*.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)))))))
91.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (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))))
79.9%
(*.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)))))))
88.1%
(*.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)))
89.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.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)))))))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
50.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.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)))))))
96.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
98.2%
(*.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 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) u2))))
▶98.3%
(*.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))))
✓98.4%
(*.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))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))))
✓53.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
50.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓56.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶48.5%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
70.5%
(*.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)))))
72.5%
(*.f32 (sqrt.f32 u1) (*.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))))))))
70.4%
(*.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)))))))
75.5%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32))) u2)))
▶76.4%
(*.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)))
▶76.4%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓76.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.5%
(*.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)))))
Compiler

Compiled 2396 to 1735 computations (27.6% saved)

simplify177.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))
✓cost-diff0
(log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
✓cost-diff0
(sqrt.f32 (log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
✓cost-diff0
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓cost-diff64
(*.f32 (PI.f32) (log.f32 (E.f32)))
✓cost-diff3200
(log.f32 (E.f32))
✓cost-diff0
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.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)))
✓cost-diff128
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
✓cost-diff0
(*.f32 u2 (PI.f32))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
✓cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
✓cost-diff128
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
Rules
1832×sum5-define
1802×+-lowering-+.f64
1802×+-lowering-+.f32
1680×fma-lowering-fma.f32
1680×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052413
1141341
2296304
3703304
41991304
55522304
66953304
08415304
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (- (+ 1 (PI)) 1) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (- (+ 1 (PI)) 1) u2)))
(* 2 (sin (* (PI) u2)))
2
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(cos (* (- (+ 1 (PI)) 1) u2))
(* (- (+ 1 (PI)) 1) u2)
(- (+ 1 (PI)) 1)
(+ 1 (PI))
1
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
2
(sqrt u1)
u1
(* u2 (PI))
u2
(PI)
(* (sqrt u1) (sin (* (* 2 (- (+ 1 (PI)) 1)) u2)))
(sqrt u1)
u1
(sin (* (* 2 (- (+ 1 (PI)) 1)) u2))
(* (* 2 (- (+ 1 (PI)) 1)) u2)
(* 2 (- (+ 1 (PI)) 1))
2
(- (+ 1 (PI)) 1)
(+ 1 (PI))
1
(PI)
u2
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (* (PI) (log (E)))) u2)
(* 2 (* (PI) (log (E))))
2
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
(* (sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))))
(log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))
(* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))
(/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1)))))))
(+ 1 (* u1 (+ 1 u1)))
1
(* u1 (+ 1 u1))
u1
(+ 1 u1)
(+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))
(* u1 (* u1 (* u1 (* u1 (* u1 u1)))))
(* u1 (* u1 (* u1 (* u1 u1))))
(* u1 (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
(+ 1 (* u1 (* u1 u1)))
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (- (+ 1 (PI)) 1) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg (log (+ 1 (neg u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log (+ 1 (neg u1)))
(log1p.f32 (neg.f32 u1))
(neg u1)
(neg.f32 u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (- (+ 1 (PI)) 1) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) u2))))
(* 2 (sin (* (PI) u2)))
(*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))
2
#s(literal 2 binary32)
(sin (* (PI) u2))
(sin.f32 (*.f32 (PI.f32) u2))
(* (PI) u2)
(*.f32 (PI.f32) u2)
(PI)
(PI.f32)
u2
(cos (* (- (+ 1 (PI)) 1) u2))
(cos.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)
(* (* 2 (sqrt u1)) (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1))))
(* 2 (sqrt u1))
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
2
#s(literal 2 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
(* u2 (PI))
(*.f32 (PI.f32) u2)
u2
(PI)
(PI.f32)
(* (sqrt u1) (sin (* (* 2 (- (+ 1 (PI)) 1)) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (- (+ 1 (PI)) 1)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (- (+ 1 (PI)) 1)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (- (+ 1 (PI)) 1))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(- (+ 1 (PI)) 1)
(PI.f32)
(+ 1 (PI))
(+.f32 #s(literal 1 binary32) (PI.f32))
1
#s(literal 1 binary32)
(PI)
(PI.f32)
u2
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt u1)
(sqrt.f32 u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (* (PI) (log (E)))) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (* (PI) (log (E))))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(* (PI) (log (E)))
(PI.f32)
(PI)
(PI.f32)
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
u2
(* (sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))))
(sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))))))
(log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))
(log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))))))
(* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))))
(/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))))
(+ 1 (* u1 (+ 1 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
1
#s(literal 1 binary32)
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))))
(* u1 (* u1 (* u1 (* u1 (* u1 u1)))))
(*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))
(* u1 (* u1 (* u1 (* u1 u1))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 (* u1 u1)))
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(+ 1 (* u1 (* u1 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize294.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.9%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy52.1%
(log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
✓accuracy99.6%
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))
✓accuracy99.0%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
✓accuracy96.9%
(log.f32 (E.f32))
✓accuracy99.0%
(*.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)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) u2)
✓accuracy96.9%
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
✓accuracy96.9%
(+.f32 #s(literal 1 binary32) (PI.f32))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy100.0%
(PI.f32)
✓accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
✓accuracy98.9%
(*.f32 u2 (PI.f32))
✓accuracy98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
✓accuracy98.9%
(*.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))
Results
218.0ms256×0valid
Compiler

Compiled 456 to 53 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 42.0ms (41.5% of total)
ival-sin: 13.0ms (12.8% of total)
ival-log: 12.0ms (11.8% of total)
ival-add: 8.0ms (7.9% of total)
ival-sqrt: 7.0ms (6.9% of total)
compiled-spec: 7.0ms (6.9% of total)
ival-cos: 3.0ms (3% of total)
ival-neg: 3.0ms (3% of total)
ival-div: 2.0ms (2% of total)
ival-e: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series79.0ms (0.5%)

Counts
25 → 300
Calls
Call 1
Inputs
#<alt (- (+ 1 (PI)) 1)>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (- (+ 1 (PI)) 1) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (* (* 2 (sqrt u1)) (* u2 (PI)))>
#<alt (* 2 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (* u2 (PI))>
#<alt (* (sqrt u1) (sin (* (* 2 (- (+ 1 (PI)) 1)) u2)))>
#<alt (sin (* (* 2 (- (+ 1 (PI)) 1)) u2))>
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))>
#<alt (* (sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))))>
#<alt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))>
#<alt (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))>
#<alt (+ 1 (PI))>
#<alt (* (PI) u2)>
#<alt (PI)>
#<alt (* (* 2 (- (+ 1 (PI)) 1)) u2)>
#<alt (* (* 2 (* (PI) (log (E)))) u2)>
#<alt (sin (* (* 2 (* (PI) (log (E)))) u2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 (+ 1 u1))>
Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<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 (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* 2 (sqrt u1))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt u1) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt u1) (pow (PI) 5)))))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt u1) (sin (* 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 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (sqrt u1) (* u2 (* (PI) (log (E))))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3))))) (* 2 (* (sqrt u1) (* (PI) (log (E)))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (* (PI) (log (E))))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 4/15 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5)))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt u1) (* (PI) (log (E))))) (* (pow u2 2) (+ (* -4/3 (* (sqrt u1) (* (pow (PI) 3) (pow (log (E)) 3)))) (* (pow u2 2) (+ (* -8/315 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7))))) (* 4/15 (* (sqrt u1) (* (pow (PI) 5) (pow (log (E)) 5))))))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (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 (* (sqrt (log (/ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sin (* 2 (* u2 (PI)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sin (* 2 (* u2 (PI))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1)))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) (+ (log -1) (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* 2 (* (PI) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))))))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (+ (sqrt (log (/ 1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ 1 u1)))))))>
#<alt (+ (sqrt (log (/ 1 u1))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ 1 u1)))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (pow u1 2)) (sqrt (/ 1 (log (/ 1 u1))))))))>
#<alt (+ (sqrt (log (/ 1 u1))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (log (/ 1 u1))))) (pow u1 3)) (sqrt (/ 1 (log (/ 1 u1)))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (pow u1 2)) (sqrt (/ 1 (log (/ 1 u1)))))))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)))>
#<alt (+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (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 u1))>
#<alt (+ (log (/ 1 u1)) (/ 1 u1))>
#<alt (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (+ (log (/ -1 u1)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))))>
#<alt 1>
#<alt (+ 1 u1)>
#<alt (+ 1 (* u1 (+ 1 u1)))>
#<alt (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (/ 1 u1)) u1)>
#<alt (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)>
#<alt (/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (/ 1 u1)) u1)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 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 (* 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) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 2 (* (PI) (log (E))))))>
#<alt (* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7)))) (* 4/15 (* (pow (PI) 5) (pow (log (E)) 5)))))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (sin (* 2 (* u2 (* (PI) (log (E))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
Calls

75 calls:

TimeVariablePointExpression
22.0ms
u2
@inf
(* (sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
15.0ms
u1
@0
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
13.0ms
u2
@0
(* (* 2 (* (PI) (log (E)))) u2)
4.0ms
u2
@-inf
(* (* 2 (sqrt u1)) (* u2 (PI)))
4.0ms
u2
@0
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))

rewrite423.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3218×*-lowering-*.f32
3218×*-lowering-*.f64
2096×/-lowering-/.f32
2096×/-lowering-/.f64
1512×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052255
1259201
21899165
08833165
Stop Event
1×iter limit
1×node limit
Counts
25 → 916
Calls
Call 1
Inputs
(- (+ 1 (PI)) 1)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (- (+ 1 (PI)) 1) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(* (* 2 (sqrt u1)) (* u2 (PI)))
(* 2 (sqrt u1))
(sqrt u1)
(* u2 (PI))
(* (sqrt u1) (sin (* (* 2 (- (+ 1 (PI)) 1)) u2)))
(sin (* (* 2 (- (+ 1 (PI)) 1)) u2))
(log (E))
(* (PI) (log (E)))
(* (sqrt u1) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(* (sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))) (sin (* (* 2 (PI)) u2)))
(sqrt (log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))))
(log (* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1)))))
(* (/ (+ 1 (* u1 (+ 1 u1))) (+ 1 (* u1 (* u1 (* u1 (* u1 (* u1 u1))))))) (+ 1 (* u1 (* u1 u1))))
(+ 1 (PI))
(* (PI) u2)
(PI)
(* (* 2 (- (+ 1 (PI)) 1)) u2)
(* (* 2 (* (PI) (log (E)))) u2)
(sin (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (PI)) u2)
(* u1 (+ 1 u1))
Outputs
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(+.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -1 binary32)))
(+.f32 (PI.f32) #s(literal 0 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (+.f32 (PI.f32) #s(literal -1 binary32)) #s(literal 1 binary32))
(fabs.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (PI.f32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32))
(fma.f32 (PI.f32) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32))))) #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))
(fma.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))))
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(/.f32 (-.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 u1 (*.f32 u1 u1)))
(/.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (neg.f32 (-.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (-.f32 u1 (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1)

simplify344.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
7264×*-lowering-*.f32
7264×*-lowering-*.f64
2688×+-lowering-+.f64
2688×+-lowering-+.f32
1574×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06194772
121784078
082704078
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
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(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) (+ (log -1) (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(* 2 (* (* u2 (PI)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* 2 (* (PI) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6)))))))))))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 3))) (+ 1 (pow u1 6))))) (sin (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (log (/ 1 u1)))
(+ (sqrt (log (/ 1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ 1 u1)))))))
(+ (sqrt (log (/ 1 u1))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ 1 u1)))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (pow u1 2)) (sqrt (/ 1 (log (/ 1 u1))))))))
(+ (sqrt (log (/ 1 u1))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (log (/ 1 u1))))) (pow u1 3)) (sqrt (/ 1 (log (/ 1 u1)))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ 1 u1))))) (pow u1 2)) (sqrt (/ 1 (log (/ 1 u1)))))))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(log (/ 1 u1))
(+ (log (/ 1 u1)) (/ 1 u1))
(+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (+ (log (/ -1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 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))
(* 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) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 2 (* (PI) (log (E))))))
(* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 5))))))))
(* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7)))) (* 4/15 (* (pow (PI) 5) (pow (log (E)) 5)))))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
Outputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) #s(literal 2 binary32)))
(+ (* -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))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
(+ (* 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)))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/3 binary32) (sqrt.f32 u1))))))
(+ (* 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)))))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/3 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (/.f32 (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 (* (/ (* (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)))))))))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (neg.f32 (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))))))
(+ (* -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))))))))))
(+.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (*.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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (neg.f32 (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 (*.f32 u1 u1)))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (/.f32 (sin.f32 (*.f32 u2 (PI.f32))) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
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(+.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) u1))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1)))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) u1)))
(-.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(log (/ 1 u1))
(neg.f32 (log.f32 u1))
(+ (log (/ 1 u1)) (/ 1 u1))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1))
(+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1))
(+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))))
(+ (log -1) (log (/ -1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (log (/ -1 u1)) (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log -1) (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.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)))))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) 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))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (neg.f32 u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1))) (neg.f32 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))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (* (PI) (log (E)))))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* u2 (+ (* -4/3 (* (pow u2 2) (* (pow (PI) 3) (pow (log (E)) 3)))) (* 2 (* (PI) (log (E))))))
(*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)))))
(* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* 4/15 (* (pow u2 2) (* (pow (PI) 5) (pow (log (E)) 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 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))))))))
(* u2 (+ (* 2 (* (PI) (log (E)))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (pow (log (E)) 3))) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (* (pow (PI) 7) (pow (log (E)) 7)))) (* 4/15 (* (pow (PI) 5) (pow (log (E)) 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 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))))))))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(sin (* 2 (* u2 (* (PI) (log (E))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))

eval252.0ms (1.6%)

Compiler

Compiled 74558 to 6824 computations (90.8% saved)

prune341.0ms (2.2%)

Pruning

61 alts after pruning (54 fresh and 7 done)

PrunedKeptTotal
New1775191794
Fresh43539
Picked235
Done145
Total1782611843
Accuracy
99.9%
Counts
1843 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(+.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))))
76.9%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 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)))
4.2%
(*.f32 (*.f32 (sqrt.f32 u1) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32))))))
65.6%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
65.5%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
65.4%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 2 binary32))))
65.3%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
65.5%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
▶65.0%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
64.8%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))))))
65.3%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓65.6%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
64.8%
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (*.f32 u2 (PI.f32)))
85.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.5%
(*.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.7%
(*.f32 (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.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)))))))
51.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.7%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
81.9%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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)))))))
84.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
93.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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)))
83.1%
(*.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)))))))
91.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) 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))))
79.9%
(*.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)))))))
88.1%
(*.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)))
89.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.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)))))))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
▶50.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.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)))))))
94.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (/.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) u2) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))) (cos.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
96.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
▶98.2%
(*.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 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 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 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))) u2))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
97.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))))
✓53.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
50.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓56.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶53.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓48.5%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
70.5%
(*.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)))))
72.5%
(*.f32 (sqrt.f32 u1) (*.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))))))))
70.4%
(*.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)))))))
76.4%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 1 binary32))) u2)))
✓76.4%
(*.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)))
✓76.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.5%
(*.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)))))
▶65.6%
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
Compiler

Compiled 3112 to 2130 computations (31.6% saved)

simplify277.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))))
✓cost-diff0
(sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))))))
✓cost-diff0
(*.f32 (sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓cost-diff32
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
✓cost-diff0
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
✓cost-diff0
(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 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-diff64
(neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓cost-diff0
(*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
✓cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
✓cost-diff0
(sqrt.f32 u1)
✓cost-diff0
(*.f32 (sqrt.f32 u1) (PI.f32))
✓cost-diff0
(*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32)))
✓cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
✓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 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))) u2))))
Rules
4250×*-lowering-*.f32
4250×*-lowering-*.f64
2976×+-lowering-+.f64
2976×+-lowering-+.f32
1922×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069704
1229669
2753651
33223641
08404641
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2)))
(* 2 (sin (* (PI) u2)))
2
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))
(* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2)
(/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))
(+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1)
(* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI))))
(+ 1 (PI))
1
(* (+ 1 (PI)) (+ 1 (PI)))
-1
(+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))
(+ (PI) 2)
(* 2 (* u2 (* (sqrt u1) (PI))))
2
(* u2 (* (sqrt u1) (PI)))
u2
(* (sqrt u1) (PI))
(sqrt u1)
u1
(PI)
(* (* 2 (sqrt u1)) (* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))))
(* 2 (sqrt u1))
2
(sqrt u1)
u1
(* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))))
u2
(/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))
(+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1)
(* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI))))
(+ 1 (PI))
1
(PI)
(* (+ 1 (PI)) (+ 1 (PI)))
-1
(+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))
(+ (PI) 2)
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(+ 1 u1)
1
u1
(- 1 (* u1 u1))
(* u1 u1)
(* 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 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))
(sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)))))
(log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))
(/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)))
(* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1)))))
(+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))))
1
(* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))
(* u1 (* u1 u1))
u1
(* u1 u1)
(* (* u1 (* u1 u1)) (* u1 (* u1 u1)))
(+ -1 (neg (* u1 (+ 1 u1))))
-1
(neg (* u1 (+ 1 u1)))
(* u1 (+ 1 u1))
(+ 1 u1)
(* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))
(+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1)))
(* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))
(- (* u1 (* u1 u1)) 1)
(+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.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
(* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))))
(* 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 (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))
(cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32)))))
(* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2)
(/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))
(/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))
(/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))
(+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1)
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))
(* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI))))
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))))
(+ 1 (PI))
(+.f32 #s(literal 1 binary32) (PI.f32))
1
#s(literal 1 binary32)
(* (+ 1 (PI)) (+ 1 (PI)))
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))
-1
#s(literal -1 binary32)
(+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32)))
(+ (PI) 2)
(+.f32 #s(literal 2 binary32) (PI.f32))
(* 2 (* u2 (* (sqrt u1) (PI))))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 u1))))
2
#s(literal 2 binary32)
(* u2 (* (sqrt u1) (PI)))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
u2
(* (sqrt u1) (PI))
(*.f32 (PI.f32) (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
u1
(PI)
(PI.f32)
(* (* 2 (sqrt u1)) (* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))))
(/.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 2 binary32) u2))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))
(* 2 (sqrt u1))
(*.f32 #s(literal 2 binary32) (sqrt.f32 u1))
2
#s(literal 2 binary32)
(sqrt u1)
(sqrt.f32 u1)
u1
(* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))))
(/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))
u2
(/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))
(/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))
(+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1)
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))
(* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI))))
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))))
(+ 1 (PI))
(+.f32 #s(literal 1 binary32) (PI.f32))
1
#s(literal 1 binary32)
(PI)
(PI.f32)
(* (+ 1 (PI)) (+ 1 (PI)))
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))
-1
#s(literal -1 binary32)
(+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32)))
(+ (PI) 2)
(+.f32 #s(literal 2 binary32) (PI.f32))
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (*.f32 (PI.f32) u2) (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32))))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/ (+ 1 u1) (- 1 (* u1 u1)))
(/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
1
#s(literal 1 binary32)
u1
(- 1 (* u1 u1))
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(* u1 u1)
(*.f32 u1 u1)
(* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))))
(*.f32 (*.f32 (PI.f32) u2) (+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.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 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))))))
(PI)
(PI.f32)
(+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI))))
(+.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32))))))
2
#s(literal 2 binary32)
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.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 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)))))
(sqrt.f32 (log.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
(log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))
(log.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)))
(/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))
1
#s(literal 1 binary32)
(* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))
(* u1 (* u1 u1))
(*.f32 u1 (*.f32 u1 u1))
u1
(* u1 u1)
(*.f32 u1 u1)
(* (* u1 (* u1 u1)) (* u1 (* u1 u1)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))
(+ -1 (neg (* u1 (+ 1 u1))))
(+.f32 #s(literal -1 binary32) (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)))
-1
#s(literal -1 binary32)
(neg (* u1 (+ 1 u1)))
(*.f32 u1 (-.f32 #s(literal -1 binary32) u1))
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))
(+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(- (* u1 (* u1 u1)) 1)
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)
(+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))
(sin (* (* 2 (PI)) u2))
(sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(* (* 2 (PI)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
u2

localize465.0ms (3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓accuracy98.9%
(*.f32 (sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓accuracy52.2%
(log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))))
✓accuracy98.9%
(*.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))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy52.2%
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓accuracy96.9%
(+.f32 (PI.f32) #s(literal 2 binary32))
✓accuracy96.9%
(+.f32 #s(literal 1 binary32) (PI.f32))
✓accuracy96.9%
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))
✓accuracy96.9%
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))))
✓accuracy100.0%
(sqrt.f32 u1)
✓accuracy100.0%
(PI.f32)
✓accuracy99.2%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32)))
✓accuracy98.8%
(*.f32 (sqrt.f32 u1) (PI.f32))
✓accuracy96.9%
(+.f32 (PI.f32) #s(literal 2 binary32))
✓accuracy96.9%
(+.f32 #s(literal 1 binary32) (PI.f32))
✓accuracy96.9%
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))
✓accuracy96.9%
(*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))))
Results
293.0ms256×0valid
Compiler

Compiled 1015 to 70 computations (93.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-mult: 49.0ms (38.5% of total)
ival-add: 14.0ms (11% of total)
ival-log: 14.0ms (11% of total)
ival-div: 7.0ms (5.5% of total)
ival-sin: 7.0ms (5.5% of total)
ival-sqrt: 7.0ms (5.5% of total)
compiled-spec: 7.0ms (5.5% of total)
ival-neg: 6.0ms (4.7% of total)
...c/correct-round.rkt:119:19: 5.0ms (3.9% of total)
ival-sub: 4.0ms (3.1% of total)
ival-cos: 3.0ms (2.4% of total)
ival-pi: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series162.0ms (1%)

Counts
30 → 360
Calls
Call 1
Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* 2 (* u2 (* (sqrt u1) (PI))))>
#<alt (* u2 (* (sqrt u1) (PI)))>
#<alt (* (sqrt u1) (PI))>
#<alt (sqrt u1)>
#<alt (* (* 2 (sqrt u1)) (* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))))>
#<alt (* 2 (sqrt u1))>
#<alt (* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))))>
#<alt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))>
#<alt (* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))>
#<alt (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))>
#<alt (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))>
#<alt (neg (* u1 (+ 1 u1)))>
#<alt (* (sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)))))>
#<alt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))>
#<alt (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI))))>
#<alt (* (+ 1 (PI)) (+ 1 (PI)))>
#<alt (+ 1 (PI))>
#<alt (+ (PI) 2)>
#<alt (PI)>
#<alt (log (/ (+ 1 u1) (- 1 (* u1 u1))))>
#<alt (* (PI) (PI))>
#<alt (* -4/3 (* u2 u2))>
#<alt (* (* -4/3 (* u2 u2)) (* (PI) (PI)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* (* u1 (* u1 u1)) (* u1 (* u1 u1)))>
Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (/ (* (PI) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 2))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 2))) (* -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 (/ (* (PI) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 2))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 2))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (/ (* (PI) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 4))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 4))) (* 1/12 (/ (* (pow (PI) 3) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 2))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 2)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (/ (* (PI) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 2))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 2))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (/ (* (PI) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 4))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 4))) (* 1/12 (/ (* (pow (PI) 3) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 2))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 2))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (/ (* (pow (PI) 3) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 4))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 4))) (+ (* -1/240 (/ (* (pow (PI) 5) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 2))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 2))) (+ (* -1/720 (/ (* (PI) (* (sqrt -1) (pow (- (pow (+ 1 (PI)) 3) 1) 6))) (pow (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))) 6))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (* -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 (* (sqrt u1) (* u2 (PI))))>
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#<alt (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI))))))>
#<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)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* 2 (* (PI) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))))))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (+ (log -1) (log (/ 1 u1))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))>
#<alt (sqrt (log (/ -1 u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (log -1) (log (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (log (/ -1 u1))>
#<alt (+ (log (/ -1 u1)) (/ 1 u1))>
#<alt (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (log -1) (log (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (log (/ -1 u1))>
#<alt (+ (log (/ -1 u1)) (/ 1 u1))>
#<alt (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))>
#<alt (* -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 (* -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 (* 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 (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
#<alt (pow u1 6)>
Calls

90 calls:

TimeVariablePointExpression
108.0ms
u2
@inf
(* (sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))
8.0ms
u2
@0
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
4.0ms
u1
@-inf
(* (sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))
3.0ms
u2
@0
(* (sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))
3.0ms
u2
@0
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))))

rewrite323.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
3474×*-lowering-*.f32
3474×*-lowering-*.f64
1398×pow-lowering-pow.f64
1398×pow-lowering-pow.f32
1200×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069307
1415281
23693255
08459255
Stop Event
1×iter limit
1×node limit
Counts
30 → 535
Calls
Call 1
Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (* 2 (sin (* (PI) u2))) (cos (* (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))) u2))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* 2 (* u2 (* (sqrt u1) (PI))))
(* u2 (* (sqrt u1) (PI)))
(* (sqrt u1) (PI))
(sqrt u1)
(* (* 2 (sqrt u1)) (* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2)))))
(* 2 (sqrt u1))
(* u2 (/ (+ (* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI)))) -1) (+ (* (+ 1 (PI)) (+ 1 (PI))) (+ (PI) 2))))
(neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))
(* (sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1))))))) (* u2 (* (PI) (+ 2 (* (* -4/3 (* u2 u2)) (* (PI) (PI)))))))
(sqrt (neg (neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))))
(neg (log (/ (+ 1 u1) (- 1 (* u1 u1)))))
(neg (* u1 (+ 1 u1)))
(* (sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))) (sin (* (* 2 (PI)) u2)))
(sqrt (log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1)))))
(log (/ (* (+ 1 (* (* u1 (* u1 u1)) (* (* u1 (* u1 u1)) (* u1 (* u1 u1))))) (+ -1 (neg (* u1 (+ 1 u1))))) (* (+ 1 (* (* u1 (* u1 u1)) (- (* u1 (* u1 u1)) 1))) (+ (* (* u1 (* u1 u1)) (* u1 (* u1 u1))) -1))))
(* (+ 1 (PI)) (* (+ 1 (PI)) (+ 1 (PI))))
(* (+ 1 (PI)) (+ 1 (PI)))
(+ 1 (PI))
(+ (PI) 2)
(PI)
(log (/ (+ 1 u1) (- 1 (* u1 u1))))
(* (PI) (PI))
(* -4/3 (* u2 u2))
(* (* -4/3 (* u2 u2)) (* (PI) (PI)))
(* (* 2 (PI)) u2)
(* (* u1 (* u1 u1)) (* u1 (* u1 u1)))
Outputs
(*.f32 (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))) (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))))) (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 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(*.f32 (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32)))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32)))))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (/.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(neg.f32 (log1p.f32 u1))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) #s(literal -2 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))
(/.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 8 binary32)) (-.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)) (+.f32 (PI.f32) #s(literal -2 binary32)))
(/.f32 (neg.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 8 binary32))) (neg.f32 (-.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(/.f32 (neg.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))) (neg.f32 (+.f32 (PI.f32) #s(literal -2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal -2 binary32))))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.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)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(expm1.f32 (log1p.f32 (PI.f32)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(+.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(+.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (log1p.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))) (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)) (*.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 2 binary32))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32)))
(*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32))
(*.f32 (*.f32 u2 #s(literal -4/3 binary32)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))))
(*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 (*.f32 u2 #s(literal -4/3 binary32))))
(*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) (PI.f32))
(*.f32 (*.f32 u2 #s(literal -4/3 binary32)) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #s(literal -4/3 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (*.f32 u2 u2))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -4/3 binary32))) u2)
(*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(exp.f32 (*.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 6 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 2 binary32)))
(pow.f32 u1 #s(literal 6 binary32))
(pow.f32 (neg.f32 u1) #s(literal 6 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3 binary32))
(pow.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (*.f32 u1 u1)) #s(literal 3 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))
(*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))
(*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
(*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) u1)
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1 binary32)) #s(literal 3 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 u1 (*.f32 u1 u1)))

simplify428.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
8656×*-lowering-*.f32
8656×*-lowering-*.f64
3128×+-lowering-+.f64
3128×+-lowering-+.f32
1728×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06908068
123366681
083566681
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
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(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(* (sqrt u1) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* (sqrt u1) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))))
(+ (* (sqrt u1) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))))))
(+ (* (sqrt u1) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))))) (* 1/2 (* (sqrt u1) (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))))
(* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (log (/ 1 u1)))))
(+ (* 1/2 (* (/ (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (log (/ 1 u1))))))))
(* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (log (/ -1 u1))))
(+ (* 1/2 (* (/ (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1/2 (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* u2 (* (PI) (* (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* u2 (* (PI) (* (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* u2 (* (PI) (+ 2 (* -4/3 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (log (/ -1 u1)))))
(* 2 (* (* u2 (PI)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2 (* (PI) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))))
(* -4/3 (* (* (pow u2 3) (pow (PI) 3)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))
(* (pow u2 3) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2 (* (/ (PI) (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))))
(* (pow u2 3) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2 (* (/ (PI) (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))))
(* (pow u2 3) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2 (* (/ (PI) (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))))
(* -4/3 (* (* (pow u2 3) (pow (PI) 3)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (PI) (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 4/3 (* (pow (PI) 3) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (PI) (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 4/3 (* (pow (PI) 3) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))))
(* -1 (* (pow u2 3) (+ (* -2 (* (/ (PI) (pow u2 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 4/3 (* (pow (PI) 3) (sqrt (log (/ (+ 1 u1) (- 1 (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))))))))))
(sqrt (+ (log -1) (log (/ 1 u1))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
(* -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))
(* -1 (+ (log -1) (log (/ 1 u1))))
(* -1 (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1))))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (+ (log -1) (log (/ 1 u1))))
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))) (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1))))
(* -1 (log (/ -1 u1)))
(* -1 (+ (log (/ -1 u1)) (/ 1 u1)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)) (log (/ -1 u1)))
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)) (log (/ -1 u1)))
(* -1 u1)
(* u1 (- (* -1 u1) 1))
(* u1 (- (* -1 u1) 1))
(* u1 (- (* -1 u1) 1))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1 (/ 1 u1))))
(* (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)))))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))))
(* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI)))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI))))))
(+ (* -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)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (sin (* 2 (* u2 (PI))))))
(* 2 (* (* u2 (PI)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* 2 (* (PI) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1))))))))))))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (* -1 (/ (* (+ 1 (* u1 (+ 1 u1))) (+ 1 (pow u1 9))) (* (+ 1 (* (pow u1 3) (- (pow u1 3) 1))) (- (pow u1 6) 1)))))) (sin (* 2 (* u2 (PI)))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (+ (log -1) (log (/ 1 u1))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(* -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))
(* -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)))
(* 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)))
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
(pow u1 6)
Outputs
(* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sin.f32 (*.f32 u2 (PI.f32)))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))))
(+ (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))))))
(+.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/3 binary32) (sqrt.f32 u1))))))
(+ (* 2 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))))))))))
(+.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/3 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 (PI.f32)))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))))))))))
(* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))))
(+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))) (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (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 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) u1))) (*.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))))
(+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (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 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sin.f32 (*.f32 u2 (PI.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)))) (*.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))))) (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))) (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))))
(* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1 (* (/ (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (/ (* u2 (- (pow (+ 1 (PI)) 3) 1)) (+ 2 (+ (PI) (pow (+ 1 (PI)) 2))))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32))) (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (cos.f32 (/.f32 (*.f32 u2 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))))
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(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))
(+.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1)))))))
(sqrt (log (/ -1 u1)))
(sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))
(+.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1/2 binary32) u1)))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))
(+.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1))
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))
(-.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))
(+ (log -1) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.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 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) u1) #s(literal -1 binary32)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 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) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.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 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) u1) #s(literal -1 binary32)) u1))
(* -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))
(* -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) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -4/3 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (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)))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))
(pow u1 6)
(pow.f32 u1 #s(literal 6 binary32))

eval234.0ms (1.5%)

Compiler

Compiled 79366 to 7420 computations (90.7% saved)

prune589.0ms (3.7%)

Pruning

69 alts after pruning (58 fresh and 11 done)

PrunedKeptTotal
New1859161875
Fresh74249
Picked145
Done077
Total1867691936
Accuracy
99.9%
Counts
1936 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))))))))))
82.3%
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (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))))))
76.9%
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.5%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) 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)))))))
80.1%
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 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)))))))
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)))
65.5%
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
4.2%
(*.f32 (*.f32 (sqrt.f32 u1) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32))))))
50.7%
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (PI.f32) (*.f32 u2 u2))))))
65.6%
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
65.4%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 2 binary32))))
64.8%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))))
65.3%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
65.5%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
65.3%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
✓65.0%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
65.3%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
✓65.6%
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
64.8%
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (*.f32 u2 (PI.f32)))
85.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
50.7%
(*.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 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)))))))
93.2%
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal -2/3 binary32))))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.7%
(*.f32 (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (*.f32 u1 (+.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)))))))
51.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.9%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (log1p.f32 (*.f32 u1 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.9%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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)))))))
84.5%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
93.4%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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)))
83.1%
(*.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)))))))
91.8%
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.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 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))) u2))))
87.8%
(*.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) 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))))
79.9%
(*.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)))))))
88.1%
(*.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)))
89.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.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)))))))
51.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (*.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)))))))
53.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
50.5%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 u2 (*.f32 (*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
94.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (/.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) u2) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
98.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))) (cos.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
96.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
98.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
✓98.2%
(*.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 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 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 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))) u2))))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
81.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
52.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))))
53.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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)))))))
✓53.3%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
50.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓56.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
48.5%
(*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓53.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)))) (+.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓48.5%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
70.5%
(*.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)))))
72.5%
(*.f32 (sqrt.f32 u1) (*.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))))))))
70.4%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
76.4%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 1 binary32))) u2)))
✓76.4%
(*.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)))
✓76.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.5%
(*.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)))))
50.7%
(*.f32 u2 (*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
✓65.6%
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
Compiler

Compiled 4617 to 1880 computations (59.3% saved)

regimes321.0ms (2%)

Counts
100 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 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 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.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) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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)))))))
(*.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 (+.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)))))))
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(*.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 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (/.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) u2) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) u2))))
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 u1 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) 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 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) 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 (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))) (*.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (+.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 (+.f32 (-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32))))) (log1p.f32 (*.f32 u1 (*.f32 u1 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 (/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 6 binary32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (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 (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 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (*.f32 u2 (*.f32 (*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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:

55.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
34.0ms
u2
32.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
31.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
27.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1u1
98.6%1u2
98.6%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)))
98.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.6%1(-.f32 #s(literal 1 binary32) u1)
98.6%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes175.0ms (1.1%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 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 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.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) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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)))))))
(*.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 (+.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 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (*.f32 u2 (PI.f32)))
(*.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 (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 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 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)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 u2 (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 u1) (PI.f32)))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 1 binary32))) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.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 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 u2 (*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 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 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.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)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (+.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (PI.f32) (*.f32 u2 u2))))))
(*.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 u1 (+.f32 #s(literal 1 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

9 calls:

40.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
36.0ms
(-.f32 #s(literal 1 binary32) u1)
25.0ms
u1
14.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
93.4%1cosTheta_i
97.7%2u1
98.2%2u2
97.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.7%2(-.f32 #s(literal 1 binary32) u1)
93.4%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes26.0ms (0.2%)

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

13.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
u2
Results
AccuracySegmentsBranch
98.0%2u2
98.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes86.0ms (0.5%)

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

12.0ms
u1
10.0ms
cosTheta_i
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.8%1(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
91.8%1cosTheta_i
96.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.4%2(-.f32 #s(literal 1 binary32) u1)
96.4%2u1
96.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.4%2u2
96.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes67.0ms (0.4%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 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 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.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) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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)))))))
(*.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 (+.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 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 2 binary32) (PI.f32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) #s(literal 2 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32))))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (*.f32 u2 (PI.f32)))
(*.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 (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 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
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

7 calls:

15.0ms
(-.f32 #s(literal 1 binary32) u1)
9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms
u1
8.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
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)
95.3%2u2
95.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes79.0ms (0.5%)

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

9 calls:

11.0ms
u1
9.0ms
cosTheta_i
9.0ms
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
89.9%2u1
89.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
89.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
89.9%2(-.f32 #s(literal 1 binary32) u1)
90.3%2(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.5%1cosTheta_i
92.2%2u2
92.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes17.0ms (0.1%)

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

8.0ms
u2
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
90.8%2u2
90.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes23.0ms (0.1%)

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

3 calls:

7.0ms
cosTheta_i
7.0ms
u2
6.0ms
u1
Results
AccuracySegmentsBranch
84.5%1cosTheta_i
84.5%1u1
84.5%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 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 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.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) u2) (*.f32 (*.f32 (PI.f32) #s(literal -1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -4/3 binary32)) (*.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)))))))
(*.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)))))))
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:

8.0ms
u2
5.0ms
u1
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
83.1%1u1
83.1%1u2
83.1%1cosTheta_i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

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

6.0ms
u2
5.0ms
cosTheta_i
5.0ms
u1
Results
AccuracySegmentsBranch
79.9%1u1
79.9%1cosTheta_i
79.9%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

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

3 calls:

6.0ms
u1
5.0ms
u2
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
70.5%1u2
70.5%1cosTheta_i
70.5%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 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 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
Outputs
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
Calls

3 calls:

35.0ms
cosTheta_i
4.0ms
u2
4.0ms
u1
Results
AccuracySegmentsBranch
70.4%1cosTheta_i
70.4%1u1
70.4%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u2)) (PI.f32))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u2)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 u2 (+.f32 (PI.f32) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) u2) (*.f32 #s(literal -1 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (/.f32 (*.f32 (*.f32 (+.f32 (PI.f32) #s(literal 2 binary32)) (PI.f32)) u2) (+.f32 (PI.f32) #s(literal 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)))))))
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)))))))
Calls

3 calls:

14.0ms
u2
4.0ms
u1
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
70.4%1cosTheta_i
70.4%1u2
70.4%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.2b remaining (-1.6%)

Threshold costs -0.2b (-1.6%)

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

3 calls:

5.0ms
cosTheta_i
3.0ms
u1
3.0ms
u2
Results
AccuracySegmentsBranch
65.6%1u2
65.6%1cosTheta_i
65.6%1u1
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.07143066823482513
0.08727819472551346
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
087409
1144409
2148409
3150409
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 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 9395241/134217728 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 8589935/8589934592 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 8589935/8589934592 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 3489661/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 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 5368709/67108864 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)))))))
(*.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 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.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 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 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 9395241/134217728 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 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 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 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/8589934592 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 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) 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 8589935/8589934592 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 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.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 3489661/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 u2 (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 3489661/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 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 5368709/67108864 binary32)) (*.f32 (*.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)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 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 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 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 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #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 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 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 (sqrt.f32 u1) (*.f32 u2 (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.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) (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (sqrt.f32 u1) (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

soundness2.3s (14.9%)

Rules
8656×*-lowering-*.f32
8656×*-lowering-*.f64
7264×*-lowering-*.f32
7264×*-lowering-*.f64
5968×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07957210
128255925
270855893
080025893
06908068
123366681
083566681
06194772
121784078
082704078
058220
1279174
21965149
09351149
03183588
110602966
237812730
084292730
01313
12812
24112
35112
46512
58212
610412
711812
813012
913112
013112
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 919 to 494 computations (46.2% saved)

preprocess111.0ms (0.7%)

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1336 to 614 computations (54% saved)

end0.0ms (0%)

Profiling

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